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Alexandre Trofino - One of the best experts on this subject based on the ideXlab platform.
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robust Switching Rule design for photovoltaic systems under non uniform conditions
Conference on Decision and Control, 2017Co-Authors: Tiago J M Dezuo, Henrique Lunardi, Alexandre TrofinoAbstract:This paper presents a technique for designing Switching Rules that guarantee convergence of the state of Photovoltaic (PV) systems to a desired operation point even under non-uniform conditions. The proposed method considers a Switching Rule using the ‘max’ composition of auxiliary functions, the results are given in terms of Linear Matrix Inequalities (LMIs) and they guarantee global asymptotic stability of the closed-loop system even if sliding modes occur on any Switching surface. The nonlinear I-V characteristic of the PV modules is treated as a sector-bounded function and a robust sector that contains the nonlinearity for any possible nonuniform condition is presented. The application of the method is illustrated through a numerical example of a PV system under partial shading and irregular temperature distribution, where the important requirement of global Maximum Power Point Tracking (MPPT) is achieved.
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CDC - Robust Switching Rule design for photovoltaic systems under non-uniform conditions
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017Co-Authors: Tiago J M Dezuo, Henrique Carlos Lunardi, Alexandre TrofinoAbstract:This paper presents a technique for designing Switching Rules that guarantee convergence of the state of Photovoltaic (PV) systems to a desired operation point even under non-uniform conditions. The proposed method considers a Switching Rule using the ‘max’ composition of auxiliary functions, the results are given in terms of Linear Matrix Inequalities (LMIs) and they guarantee global asymptotic stability of the closed-loop system even if sliding modes occur on any Switching surface. The nonlinear I-V characteristic of the PV modules is treated as a sector-bounded function and a robust sector that contains the nonlinearity for any possible nonuniform condition is presented. The application of the method is illustrated through a numerical example of a PV system under partial shading and irregular temperature distribution, where the important requirement of global Maximum Power Point Tracking (MPPT) is achieved.
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Switching Rule Design for Affine Switched Systems With Guaranteed Cost and Uncertain Equilibrium Condition
IEEE Transactions on Automatic Control, 2016Co-Authors: Guilherme A Senger, Alexandre TrofinoAbstract:This paper addresses the problem of determining Switching Rules for affine switched systems such that the system state is driven to a desired point and a guaranteed cost is minimized. The Switching Rule is determined by solving an LMI problem and global asymptotic stability of the tracking error dynamics is guaranteed even if sliding motions occur on any Switching surface of the system. The potential of the results is illustrated on a true refrigeration system, namely a domestic refrigerator, where the purpose is to control the temperature in the fresh food and the freezer compartments.
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Switching Rule design for a class of switched systems with uncertain equilibrium
Conference on Decision and Control, 2014Co-Authors: Guilherme A Senger, Alexandre TrofinoAbstract:This paper addresses the problem of determining the reference and control signals of Switching devices, e.g. the duty cycle of electronic valves and converters, in order to drive the system state to a desired value at the equilibrium. For this purpose, the closed loop system is represented as a switched system, where the model of the subsystems are known, and a Switching Rule (the control) is determined in order to solve the tracking problem. The model of the subsystems are affine and can be obtained by usual identification methods, typically by performing experiments with the system under specific operation conditions associated with the Switching devices. The Switching Rule is determined by solving an LMI problem where a guaranteed cost is minimized and global asymptotic stability of the tracking error dynamics is guaranteed even if sliding motions occur at any Switching surface of the system. The potential of the results are illustrated on a true refrigeration system, namely a domestic refrigerator, where the purpose is to control the temperature in two compartments of the refrigerator: the fresh food and the freezer compartments. In this case the control signals to be determined are those associated with the definition of the compressor rotation and the distribution of the refrigeration fluid to the compartments.
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Switching Rule design for affine switched systems using a max-type composition Rule☆
Systems & Control Letters, 2014Co-Authors: C C Scharlau, Alexandre Trofino, Mauricio C De Oliveira, Tiago J M DezuoAbstract:Abstract This paper presents conditions for designing a Switching Rule that drives the state of the switched dynamic system to a desired equilibrium point. The proposed method deals with the class of switched systems where each subsystem has an affine vector field and considers a Switching Rule using ‘ max ’ composition. The results guarantee global asymptotic stability of the tracking error dynamics even if sliding mode occurs at any Switching surface of the system. In addition, the method does not require a Hurwitz convex combination of the dynamic matrices of the subsystems. Two numerical examples are used to illustrate the results.
C C Scharlau - One of the best experts on this subject based on the ideXlab platform.
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Switching Rule design for affine switched systems using a max-type composition Rule☆
Systems & Control Letters, 2014Co-Authors: C C Scharlau, Alexandre Trofino, Mauricio C De Oliveira, Tiago J M DezuoAbstract:Abstract This paper presents conditions for designing a Switching Rule that drives the state of the switched dynamic system to a desired equilibrium point. The proposed method deals with the class of switched systems where each subsystem has an affine vector field and considers a Switching Rule using ‘ max ’ composition. The results guarantee global asymptotic stability of the tracking error dynamics even if sliding mode occurs at any Switching surface of the system. In addition, the method does not require a Hurwitz convex combination of the dynamic matrices of the subsystems. Two numerical examples are used to illustrate the results.
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Switching Rule Design for Sector-Bounded Nonlinear Switched Systems
IFAC Proceedings Volumes, 2014Co-Authors: Tiago J M Dezuo, Alexandre Trofino, C C ScharlauAbstract:Abstract This paper presents a technique for designing Switching Rules that drive the state of a class of nonlinear switched system to a desired constant reference. The system may contain state-dependent sector-bounded nonlinear functions. The proposed method considers a Switching Rule using the 'max' composition of auxiliary functions. The results are given in terms of Linear Matrix Inequalities (LMIs) and they guarantee global asymptotic stability of the closed-loop system even if sliding modes occur on any Switching surface of the system. The application of the method is illustrated through a numerical example based on a Photovoltaic (PV) system and important requirements are achieved, such as the Maximum Power Point Tracking (MPPT) and robustness with respect to the uncertain parameters of the PV array.
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Switching Rule design for inverter fed induction motors
Conference on Decision and Control, 2013Co-Authors: C C Scharlau, Alexandre Trofino, Tiago J M Dezuo, Romeu ReginattoAbstract:This paper presents a method for designing Switching Rules that drive the state of a class of nonlinear switched system to a desired constant reference. The proposed method is focused on an application of a three-phase squirrel-cage induction motor fed by an inverter and considers a Switching Rule using 'max' composition of auxiliary functions. The results are given in terms of linear matrix inequalities and they guarantee local asymptotic stability of the closed-loop system even if sliding modes occur on any Switching surface of the system.
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CDC - Switching Rule design for inverter-fed induction motors
52nd IEEE Conference on Decision and Control, 2013Co-Authors: C C Scharlau, Alexandre Trofino, Tiago J M Dezuo, Romeu ReginattoAbstract:This paper presents a method for designing Switching Rules that drive the state of a class of nonlinear switched system to a desired constant reference. The proposed method is focused on an application of a three-phase squirrel-cage induction motor fed by an inverter and considers a Switching Rule using 'max' composition of auxiliary functions. The results are given in terms of linear matrix inequalities and they guarantee local asymptotic stability of the closed-loop system even if sliding modes occur on any Switching surface of the system.
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Switching Rule design for affine switched systems with ℋ performance
Conference on Decision and Control, 2012Co-Authors: Alexandre Trofino, C C Scharlau, Tiago J M Dezuo, Mauricio C De OliveiraAbstract:In this paper we consider the class of affine switched systems subject to ℒ 2 disturbances and we propose a method for Switching Rule design such that an upper bound on the disturbance gain, in the ℋ ∞ sense, is minimized. In the absence of disturbances the Switching Rule drives the state of the switched system to a desired equilibrium point. The results are given in terms of linear matrix inequalities and they guarantee global asymptotic stability of the tracking error dynamics even if sliding motion occurs on any Switching surface of the system. An example is used to illustrate the approach.
Daniel Coutinho - One of the best experts on this subject based on the ideXlab platform.
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corrections to Switching Rule design for switched dynamic systems with affine vector fields sep 09 2215 2222
IEEE Transactions on Automatic Control, 2012Co-Authors: Alexandre Trofino, C C Scharlau, Daniel CoutinhoAbstract:In this note, we present corrections to our previous paper "Switching Rule design for switched dynamic systems with affine vector fields" [1], [2]. The correction is necessary to guarantee the stability of the system under sliding motion, which is not ensured from [1], [2] due to an error in the expressions (11) of the original paper [1]. To correct the results it is necessary to add a new condition to the results of [1], [2]. If there is no sliding motion or if the sliding motion dynamics, in the sense of Filippov, satisfies a quadratic stability condition, the additional condition is not necessary. The corrections in this note are restricted to the case of two operation modes.
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Corrections to “Switching Rule Design for Switched Dynamic Systems With Affine Vector Fields” [Sep 09 2215-2222]
IEEE Transactions on Automatic Control, 2012Co-Authors: Alexandre Trofino, C C Scharlau, Daniel CoutinhoAbstract:In this note, we present corrections to our previous paper "Switching Rule design for switched dynamic systems with affine vector fields" [1], [2]. The correction is necessary to guarantee the stability of the system under sliding motion, which is not ensured from [1], [2] due to an error in the expressions (11) of the original paper [1]. To correct the results it is necessary to add a new condition to the results of [1], [2]. If there is no sliding motion or if the sliding motion dynamics, in the sense of Filippov, satisfies a quadratic stability condition, the additional condition is not necessary. The corrections in this note are restricted to the case of two operation modes.
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CDC - Switching Rule design for switched dynamic systems with affine vector fields
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Co-Authors: Alexandre Trofino, C C Scharlau, D Assmann, Daniel CoutinhoAbstract:In this paper we propose a method for designing Switching Rules that drive the state of the switched dynamic system to a desired equilibrium point. The method deals with the class of switched systems where each mode of operation is represented by a dynamical system with an affine vector field. The results are given in terms of linear matrix inequalities and they guarantee global asymptotic stability of the tracking error dynamics. The Switching Rules can be designed from complete or partial state measurements. The case of uncertain polytopic systems is also considered and a numerical example illustrates the approach.
Jamal Daafouz - One of the best experts on this subject based on the ideXlab platform.
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Planning for optimal control and performance certification in nonlinear systems with controlled or uncontrolled switches
Automatica, 2017Co-Authors: Lucian Busoniu, Jamal Daafouz, Marcos Bragagnolo, Irinel-constantin MorarescuAbstract:We consider three problems for discrete-time switched systems with autonomous, general nonlinear modes. The first is optimal control of the Switching Rule so as to optimize the infinite-horizon discounted cost. The second and third problems occur when the Switching Rule is uncontrolled, and we seek either the worst-case cost when the Rule is unknown, or respectively the expected cost when the Rule is stochastic. We use optimistic planning (OP) algorithms that can solve general optimal control with discrete inputs such as switches. We extend the analysis of OP to provide certification (upper and lower) bounds on the optimal, worst-case, or expected costs, as well as to design Switching sequences that achieve these bounds in the deterministic case. In this case, since a minimum dwell time between Switching instants must often be ensured, we introduce a new OP variant to handle this constraint, and analyze its convergence rate. We provide consistency and closed-loop performance guarantees for the sequences designed, and illustrate that the approach works well in simulations.
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Min-Switching local stabilization for discrete-time Switching systems with nonlinear modes
Nonlinear Analysis: Hybrid Systems, 2013Co-Authors: Marc Jungers, Carlos Cavichioli Gonzaga, Jamal DaafouzAbstract:This paper deals with the discrete-time switched Lur'e problem in finite domain. The aim is to provide a stabilization inside an estimate of the origin's basin of attraction, as large as possible, via a suitable Switching Rule. The design of this Switching Rule is based on the min-Switching policy and can be induced by sufficient conditions given by Lyapunov-Metzler inequalities. Nevertheless instead of intuitively considering a switched quadratic Lyapunov function for this approach, a suitable switched Lyapunov function including the modal nonlinearities is proposed. The assumptions required to characterize the nonlinearities are only mode-dependent sector conditions, without constraints related to the slope of the nonlinearities. An optimization problem is provided to allow the maximization of the size of the basin of attraction estimate - which may be composed of disconnected sets - under the stabilization conditions. A numerical example illustrates the efficiency of our approach and emphasizes the specificities of our tools.
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Dynamic output feedback H-inf source control of switched linear systems
Automatica, 2011Co-Authors: Grace Silva Deaecto, José Cláudio Geromel, Jamal DaafouzAbstract:This paper is devoted to dynamic output feedback View the MathML source control design of switched linear systems in both continuous and discrete-time domains. More specifically, the main purpose is to jointly design a Switching Rule and a full order dynamic output feedback switched controller that render the associated closed-loop switched linear system globally asymptotically stable and impose a pre-specified upper bound to the View the MathML source gain. An example of practical importance is presented to illustrate the validity and efficiency of the theory.
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Stability and Stabilization of Two Time Scale Switched Systems in Discrete Time
IEEE Transactions on Automatic Control, 2010Co-Authors: Ivan Malloci, Jamal Daafouz, Claude IungAbstract:In this technical note, stability and stabilization of two time scale switched linear systems in the singular perturbation form are addressed in discrete time. We show that, under an arbitrary Switching Rule, stability of the slow and fast switched subsystems is not sufficient to assess stability of the original two time scale switched system, even if the singular perturbation parameter tends to zero. Therefore, we propose LMI based conditions that guarantee the asymptotic stability of the two time scale switched system using switched quadratic Lyapunov functions. These conditions express the fact that the coupling between fast and slow subsystems has to be taken into account in addition to stability properties of the two subsystems, when the Switching Rule is arbitrary. The presented conditions are extended to state feedback control design. A numerical example illustrates the features of the proposed approach.
Hanxiong Li - One of the best experts on this subject based on the ideXlab platform.
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robust stability of switched cohen grossberg neural networks with mixed time varying delays
Systems Man and Cybernetics, 2006Co-Authors: Kun Yuan, Hanxiong LiAbstract:By combining Cohen-Grossberg neural networks with an arbitrary Switching Rule, the mathematical model of a class of switched Cohen-Grossberg neural networks with mixed time-varying delays is established. Moreover, robust stability for such switched Cohen-Grossberg neural networks is analyzed based on a Lyapunov approach and linear matrix inequality (LMI) technique. Simple sufficient conditions are given to guarantee the switched Cohen-Grossberg neural networks to be globally asymptotically stable for all admissible parametric uncertainties. The proposed LMI-based results are computationally efficient as they can be solved numerically using standard commercial software. An example is given to illustrate the usefulness of the results
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Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays
IEEE transactions on systems man and cybernetics. Part B Cybernetics : a publication of the IEEE Systems Man and Cybernetics Society, 2006Co-Authors: Kun Yuan, Hanxiong LiAbstract:By combining Cohen-Grossberg neural networks with an arbitrary Switching Rule, the mathematical model of a class of switched Cohen-Grossberg neural networks with mixed time-varying delays is established. Moreover, robust stability for such switched Cohen-Grossberg neural networks is analyzed based on a Lyapunov approach and linear matrix inequality (LMI) technique. Simple sufficient conditions are given to guarantee the switched Cohen-Grossberg neural networks to be globally asymptotically stable for all admissible parametric uncertainties. The proposed LMI-based results are computationally efficient as they can be solved numerically using standard commercial software. An example is given to illustrate the usefulness of the results
