The Experts below are selected from a list of 180 Experts worldwide ranked by ideXlab platform
Alexander Medvedev - One of the best experts on this subject based on the ideXlab platform.
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Hybrid Observer with finite memory output error correction for linear systems under intrinsic impulsive feedback
Nonlinear Analysis: Hybrid Systems, 2021Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:Abstract A novel Hybrid Observer that estimates the states of an oscillating system composed of a linear chain structure and an intrinsic pulse-modulated feedback is considered. This particular type of plant model appears in e.g. endocrine systems with pulsatile hormone secretion. The Observer reconstructs the continuous states of the model as well as the firing times and weights of the feedback impulses. Since the pulse-modulated feedback is intrinsic, no measurements of the discrete part of the plant are available to the Observer. For a periodical plant solution, to reconstruct the Hybrid state, the impulses in the Observer have to be synchronized with those in the plant. The Observer is equipped with two feedback loops driven by the output estimation error. One of these is utilized to correct the estimates of the continuous states. In contrast with previous Observer designs, the estimate of the next impulse firing time is implemented by means of a finite-memory convolution operator. A pointwise mapping capturing the propagation of the continuous plant and Observer states through the discrete cumulative sequence of the feedback firing instants is derived. Local stability properties of the synchronous mode are related to the spectral radius of the Jacobian of the pointwise mapping. The Observer design is based on assigning a guaranteed convergence rate to the local dynamics of a synchronous mode through the output error feedback gains to the continuous and discrete part of the Observer. The observation of a stable m -cycle in the plant is treated to establish a general scenario, whereas the special case of 1-cycle is worked out in detail as the most common one. A numerical example illustrates the Observer performance in the case of periodic modes of low multiplicity in an impulsive model of testosterone regulation in the male. Despite the local nature of the design approach, convergence to a synchronous mode is observed for a wide range of initial conditions for the discrete state estimate in the Observer.
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Hybrid Observer with finite memory output error correction for linear systems under intrinsic impulsive feedback
Automatica, 2019Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:Hybrid Observer with finite-memory output error correction for linear systems under intrinsic impulsive feedback
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robustification of the synchronous mode in a Hybrid Observer for a continuous system under an intrinsic pulse modulated feedback
European Control Conference, 2018Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:The paper deals with a Hybrid Observer for an oscillating system composed of a linear continuous chain structure controlled by an intrinsic pulse-modulated feedback. The observed plant portrays a biochemical system under pulsatile regulation, e.g., an impulsive mathematical model of endocrine regulation. The Observer reconstructs the continuous states of the model from only from the continuous system output and no measurements of the discrete part of the plant, i.e., the timing of the feedback firing events, are available. The problem of enlarging the basin of attraction of a synchronous Observer mode that corresponds to a zero solution of the Hybrid Observer error is considered. It is demonstrated that the asymmetricity of the basin of attraction in the case of a static Observer gain leads to a slow Observer convergence and can be effectively alleviated through the introduction of a dynamical feedback.
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Hybrid Observer for an intrinsic impulsive feedback system
IFAC-PapersOnLine, 2017Co-Authors: Alexander N Churilov, Diana Yamalova, Alexander MedvedevAbstract:Abstract This paper deals with continuous plants subject to intrinsic pulse-modulated feedback, thus exhibiting Hybrid closed-loop dynamics. The system structure implements a Hybrid oscillator and arises in living organisms, e.g. when episodically firing neurons control the production of hormones in endocrine glands. Hybrid Observers reconstructing both the continuous and discrete states of the Hybrid plant from only continuous measured outputs are considered. They excel over the existing solutions through the introduction of two co-ordinated feedbacks of the output estimation error: one correcting the continuous state estimates and another adjusting the discrete ones. Different types of the feedback operator to the discrete estimates are analyzed. The Observer design problem is reduced to synchronization of the Observer solution with that of the plant. The synchronous mode of the Observer is rendered locally stable by the selection of the feedback gains. Numerical illustration of the design procedure and Observer performance with respect to a pulse-modulated model of testosterone regulation is provided.
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design of a Hybrid Observer for an oscillator with an intrinsic pulse modulated feedback
Advances in Computing and Communications, 2017Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:A Hybrid Observer estimating the states of an oscillating system composed of a linear chain structure and an intrinsic pulse-modulated feedback is considered. The observed plant corresponds to an intensively studied mathematical model of testosterone regulation in the male. The Observer reconstructs the continuous states of the model describing the concentrations of the involved hormones as well as the firing times and weights of the feedback impulses. The pulse-modulated feedback is intrinsic and no measurements of the discrete part of the plant are available to the Observer. The Observer design is based on assigning, through the output error feedback gains, a guaranteed convergence rate to the local dynamics of a synchronous mode. A Poincare mapping capturing the propagation of the continuous plant and Observer states through the discrete cumulative sequence of the feedback firing instants is derived. Local stability properties of the synchronous mode are related to the spectral radius of the Jacobian of the mapping.
Diana Yamalova - One of the best experts on this subject based on the ideXlab platform.
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Hybrid Observer with finite memory output error correction for linear systems under intrinsic impulsive feedback
Nonlinear Analysis: Hybrid Systems, 2021Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:Abstract A novel Hybrid Observer that estimates the states of an oscillating system composed of a linear chain structure and an intrinsic pulse-modulated feedback is considered. This particular type of plant model appears in e.g. endocrine systems with pulsatile hormone secretion. The Observer reconstructs the continuous states of the model as well as the firing times and weights of the feedback impulses. Since the pulse-modulated feedback is intrinsic, no measurements of the discrete part of the plant are available to the Observer. For a periodical plant solution, to reconstruct the Hybrid state, the impulses in the Observer have to be synchronized with those in the plant. The Observer is equipped with two feedback loops driven by the output estimation error. One of these is utilized to correct the estimates of the continuous states. In contrast with previous Observer designs, the estimate of the next impulse firing time is implemented by means of a finite-memory convolution operator. A pointwise mapping capturing the propagation of the continuous plant and Observer states through the discrete cumulative sequence of the feedback firing instants is derived. Local stability properties of the synchronous mode are related to the spectral radius of the Jacobian of the pointwise mapping. The Observer design is based on assigning a guaranteed convergence rate to the local dynamics of a synchronous mode through the output error feedback gains to the continuous and discrete part of the Observer. The observation of a stable m -cycle in the plant is treated to establish a general scenario, whereas the special case of 1-cycle is worked out in detail as the most common one. A numerical example illustrates the Observer performance in the case of periodic modes of low multiplicity in an impulsive model of testosterone regulation in the male. Despite the local nature of the design approach, convergence to a synchronous mode is observed for a wide range of initial conditions for the discrete state estimate in the Observer.
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Hybrid Observer with finite memory output error correction for linear systems under intrinsic impulsive feedback
Automatica, 2019Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:Hybrid Observer with finite-memory output error correction for linear systems under intrinsic impulsive feedback
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robustification of the synchronous mode in a Hybrid Observer for a continuous system under an intrinsic pulse modulated feedback
European Control Conference, 2018Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:The paper deals with a Hybrid Observer for an oscillating system composed of a linear continuous chain structure controlled by an intrinsic pulse-modulated feedback. The observed plant portrays a biochemical system under pulsatile regulation, e.g., an impulsive mathematical model of endocrine regulation. The Observer reconstructs the continuous states of the model from only from the continuous system output and no measurements of the discrete part of the plant, i.e., the timing of the feedback firing events, are available. The problem of enlarging the basin of attraction of a synchronous Observer mode that corresponds to a zero solution of the Hybrid Observer error is considered. It is demonstrated that the asymmetricity of the basin of attraction in the case of a static Observer gain leads to a slow Observer convergence and can be effectively alleviated through the introduction of a dynamical feedback.
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Hybrid Observer for an intrinsic impulsive feedback system
IFAC-PapersOnLine, 2017Co-Authors: Alexander N Churilov, Diana Yamalova, Alexander MedvedevAbstract:Abstract This paper deals with continuous plants subject to intrinsic pulse-modulated feedback, thus exhibiting Hybrid closed-loop dynamics. The system structure implements a Hybrid oscillator and arises in living organisms, e.g. when episodically firing neurons control the production of hormones in endocrine glands. Hybrid Observers reconstructing both the continuous and discrete states of the Hybrid plant from only continuous measured outputs are considered. They excel over the existing solutions through the introduction of two co-ordinated feedbacks of the output estimation error: one correcting the continuous state estimates and another adjusting the discrete ones. Different types of the feedback operator to the discrete estimates are analyzed. The Observer design problem is reduced to synchronization of the Observer solution with that of the plant. The synchronous mode of the Observer is rendered locally stable by the selection of the feedback gains. Numerical illustration of the design procedure and Observer performance with respect to a pulse-modulated model of testosterone regulation is provided.
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design of a Hybrid Observer for an oscillator with an intrinsic pulse modulated feedback
Advances in Computing and Communications, 2017Co-Authors: Diana Yamalova, Alexander MedvedevAbstract:A Hybrid Observer estimating the states of an oscillating system composed of a linear chain structure and an intrinsic pulse-modulated feedback is considered. The observed plant corresponds to an intensively studied mathematical model of testosterone regulation in the male. The Observer reconstructs the continuous states of the model describing the concentrations of the involved hormones as well as the firing times and weights of the feedback impulses. The pulse-modulated feedback is intrinsic and no measurements of the discrete part of the plant are available to the Observer. The Observer design is based on assigning, through the output error feedback gains, a guaranteed convergence rate to the local dynamics of a synchronous mode. A Poincare mapping capturing the propagation of the continuous plant and Observer states through the discrete cumulative sequence of the feedback firing instants is derived. Local stability properties of the synchronous mode are related to the spectral radius of the Jacobian of the mapping.
Philippe Bogaerts - One of the best experts on this subject based on the ideXlab platform.
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Hybrid extended luenberger asymptotic Observer for bioprocess state estimation
Chemical Engineering Science, 2006Co-Authors: Xavier Hulhoven, Vande A Wouwer, Philippe BogaertsAbstract:Abstract State Observers generate estimates of non-measured variables based on a mathematical model of the process and some available hardware sensor signals. On the one hand, exponential Observers, such as Luenberger Observers or Kalman filters, have an adjustable rate of convergence, but strongly rely on the accuracy of the process model. On the other hand, asymptotic Observers use a state transformation in order to avoid using the (usually uncertain) kinetic model, but have a rate of convergence imposed by the process dilution rate. In an attempt to combine the advantages of both techniques, a Hybrid Observer is developed, which evaluates a level of confidence in the process model and, accordingly, evolves between the two above-mentioned limit cases (exponential or asymptotic Observer). In particular, attention is focused on a Hybrid “Luenberger-asymptotic” Observer, for which a rigorous stability/convergence analysis is provided. The efficiency and usefulness of the proposed Observer is demonstrated with a bioprocess application example.
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Hybrid extended luenberger asymptotic Observer for bioprocess state estimation
European Control Conference, 2003Co-Authors: Xavier Hulhoven, Vande A Wouwer, Philippe BogaertsAbstract:State Observers provide estimates of non-measured variables based on a mathematical model of the process and some available hardware sensor signals. On the one hand, exponential Observers, such as Luenberger Observers or Kalman filters, have an adjustable rate of convergence, but strongly rely on the accuracy of the process model. On the other hand, asymptotic Observers use a state transformation in order to avoid using the (usually uncertain) kinetic model, but have a rate of convergence imposed by the process dilution rate. In an attempt to combine the advantage of both techniques, a Hybrid Observer is developed, which estimates a level of confidence in the process model and, accordingly, evolves between the two above-mentioned limit cases (model perfectly known or kinetic model unknown). In particular, attention is focused on a Hybrid “Luenberger-asymptotic” Observer, for which a rigorous stability /convergence analysis is possible. The efficiency and usefulness of the proposed Observer is illustrated with an application example.
Abdelhamid Tayebi - One of the best experts on this subject based on the ideXlab platform.
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a globally exponentially stable nonlinear Hybrid Observer for 3d inertial navigation
Conference on Decision and Control, 2018Co-Authors: Miaomiao Wang, Abdelhamid TayebiAbstract:This paper considers the problem of orientation, position and linear velocity estimation for a rigid body navigating in 3D space. We propose a globally exponentially stable (GES) nonlinear Hybrid Observer, designed on the matrix Lie group SE 2 (3), relying on an inertial measurement unit (IMU) and landmark measurements. A rigorous stability analysis has been provided based on the framework of Hybrid dynamical systems. Simulation results are presented to illustrate the performance of the proposed Hybrid Observer.
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Hybrid attitude and gyro bias Observer design on so 3
IEEE Transactions on Automatic Control, 2017Co-Authors: Soulaimane Berkane, Abdelkader Abdessameud, Abdelhamid TayebiAbstract:This paper presents an approach for the design of globally exponentially stable Hybrid attitude and gyro-bias Observers on $SO(3) \times \mathbb {R}^3$ . First, we propose a Hybrid Observer developed in a generic manner involving a generic family of potential functions with specific properties. Thereafter, we present a design method for such potential functions via an appropriate angular warping transformation applied to a new potential function on $SO(3)$ . This results in a Hybrid Observer that uses directly body-frame measurements of known inertial vectors.
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a globally exponentially stable Hybrid attitude and gyro bias Observer
arXiv: Optimization and Control, 2016Co-Authors: Soulaimane Berkane, Abdelkader Abdessameud, Abdelhamid TayebiAbstract:This paper presents a Hybrid attitude and gyro-bias Observer designed directly on the Special Orthogonal group SO(3). The proposed Hybrid Observer, relying on a hysteresis-based switching between two configurations, guarantees global exponential stability using biased angular velocity and inertial vector measurements. Simulation results are given to illustrate the effectiveness of the proposed Observer.
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A globally exponentially stable Hybrid attitude and gyro-bias Observer
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Co-Authors: Soulaimane Berkane, Abdelkader Abdessameud, Abdelhamid TayebiAbstract:We propose a Hybrid attitude and gyro-bias Observer designed directly on the Special Orthogonal group SO(3). The proposed Hybrid Observer guarantees global exponential stability using biased angular velocity measurements and inertial vector observations. Simulation results are provided to illustrate the effectiveness of the proposed Observer.
Xavier Hulhoven - One of the best experts on this subject based on the ideXlab platform.
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Hybrid extended luenberger asymptotic Observer for bioprocess state estimation
Chemical Engineering Science, 2006Co-Authors: Xavier Hulhoven, Vande A Wouwer, Philippe BogaertsAbstract:Abstract State Observers generate estimates of non-measured variables based on a mathematical model of the process and some available hardware sensor signals. On the one hand, exponential Observers, such as Luenberger Observers or Kalman filters, have an adjustable rate of convergence, but strongly rely on the accuracy of the process model. On the other hand, asymptotic Observers use a state transformation in order to avoid using the (usually uncertain) kinetic model, but have a rate of convergence imposed by the process dilution rate. In an attempt to combine the advantages of both techniques, a Hybrid Observer is developed, which evaluates a level of confidence in the process model and, accordingly, evolves between the two above-mentioned limit cases (exponential or asymptotic Observer). In particular, attention is focused on a Hybrid “Luenberger-asymptotic” Observer, for which a rigorous stability/convergence analysis is provided. The efficiency and usefulness of the proposed Observer is demonstrated with a bioprocess application example.
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Hybrid extended luenberger asymptotic Observer for bioprocess state estimation
European Control Conference, 2003Co-Authors: Xavier Hulhoven, Vande A Wouwer, Philippe BogaertsAbstract:State Observers provide estimates of non-measured variables based on a mathematical model of the process and some available hardware sensor signals. On the one hand, exponential Observers, such as Luenberger Observers or Kalman filters, have an adjustable rate of convergence, but strongly rely on the accuracy of the process model. On the other hand, asymptotic Observers use a state transformation in order to avoid using the (usually uncertain) kinetic model, but have a rate of convergence imposed by the process dilution rate. In an attempt to combine the advantage of both techniques, a Hybrid Observer is developed, which estimates a level of confidence in the process model and, accordingly, evolves between the two above-mentioned limit cases (model perfectly known or kinetic model unknown). In particular, attention is focused on a Hybrid “Luenberger-asymptotic” Observer, for which a rigorous stability /convergence analysis is possible. The efficiency and usefulness of the proposed Observer is illustrated with an application example.
