Sampling Period

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Steven Liu - One of the best experts on this subject based on the ideXlab platform.

  • Stabilization of systems with variable and uncertain Sampling Period and time delay
    Nonlinear Analysis: Hybrid Systems, 2010
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract Stability and control issues of systems with uncertain and time-varying Sampling Period and time-delay are addressed in this paper. These arise, e.g., in embedded or networked control applications where limited computation or communication resources have to be scheduled. The uncertain and time-varying Sampling Period and time delay are transformed into polytopic and additive norm-bounded uncertainties in the discretized system description. Control design and stability analysis methods are given in the form of LMIs applying switched parameter-dependent quadratic Lyapunov functions. Two reduction algorithms are proposed in order to decrease the amount of LMIs necessary for stability analysis. The control design and stability analysis methods as well as the reduction algorithms are illustrated by an example.

  • Stability and Control of Systems with Uncertain Time-Varying Sampling Period and Time Delay
    IFAC Proceedings Volumes, 2008
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract This paper addresses stability and control issues of systems with uncertain and time-varying Sampling Period and time-delay. These arise e.g. in embedded or networked control applications where limited computation or communication resources have to be scheduled. The uncertain and time-varying Sampling Period and time delay are transformed into polytopic and additive norm-bounded uncertainties in the discretized system description. Control design and stability analysis methods are given in the form of LMIs applying switched parameter-dependent quadratic Lyapunov functions. A reduction algorithm is proposed in order to decrease the amount of LMIs necessary for stability analysis. The control design and stability analysis methods as well as the reduction algorithm are illustrated by an example.

  • ON STABILITY AND CONTROL OF SYSTEMS WITH TIME-VARYING Sampling Period AND TIME DELAY
    IFAC Proceedings Volumes, 2007
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract In this paper systems with time-varying Sampling Period and time delay are studied. Such problems arise e.g. in control applications where scheduling of limited computation or communication resources is necessary. Stability criteria are given for different types of Sampling Period and time delay variations. A control design method based on Lyapunov inequality minimizing a continuous-time quadratic cost function is presented. Using a simultaneous Lyapunov function, stability is guaranteed for arbitrary variations of Sampling Periods and time delays chosen from finite sets. The Lyapunov inequality is discretized and cast into LMIs for control design. The method is illustrated by an example.

Fang Hua-jing - One of the best experts on this subject based on the ideXlab platform.

  • Fault Detection for Networked Control System with Time-varying Sampling Period
    Computer Engineering, 2013
    Co-Authors: Fang Hua-jing
    Abstract:

    Aiming the problem that robust fault detection of Networked Control System(NCS) with time-varying Sampling Period and time delay,the uncertainties of time-varying Sampling Period and time delay in NCS are converted into the uncertainties of the parameter matrix by the real Jordan form approximation,and a discrete-time model with parameters uncertainties lying inside a polytypic framework is proposed.The residual generator is constructed and the problem of fault detection can be converted into the design of the Robust Fault Detection Filter(RFDF).The sufficient conditions for existence of the RFDF are established in terms of linear matrix inequalities.Simulation result shows the filter can repeat the fault signal well and it is robust for the disturbance and the uncertain Sampling interval and time delay.

  • A Survey on the Sampling Period for the Networked Control Systems
    Journal of Wuhan University of Technology, 2010
    Co-Authors: Fang Hua-jing
    Abstract:

    The research status of the Sampling Period in NCS was surveyed.Some issues about models,methodologies of controller designs,control algorithm and scheduling designs under the time-invariable and variable Sampling Period were presented.The strengths and the weaknesses of the methods were compared.Meanwhile,the achievements of the multi-rate Sampling in NCSs were introduced briefly.Some challenges about the Sampling Period in NCS were pointed out.

Michal Izák - One of the best experts on this subject based on the ideXlab platform.

  • Stabilization of systems with variable and uncertain Sampling Period and time delay
    Nonlinear Analysis: Hybrid Systems, 2010
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract Stability and control issues of systems with uncertain and time-varying Sampling Period and time-delay are addressed in this paper. These arise, e.g., in embedded or networked control applications where limited computation or communication resources have to be scheduled. The uncertain and time-varying Sampling Period and time delay are transformed into polytopic and additive norm-bounded uncertainties in the discretized system description. Control design and stability analysis methods are given in the form of LMIs applying switched parameter-dependent quadratic Lyapunov functions. Two reduction algorithms are proposed in order to decrease the amount of LMIs necessary for stability analysis. The control design and stability analysis methods as well as the reduction algorithms are illustrated by an example.

  • Stability and Control of Systems with Uncertain Time-Varying Sampling Period and Time Delay
    IFAC Proceedings Volumes, 2008
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract This paper addresses stability and control issues of systems with uncertain and time-varying Sampling Period and time-delay. These arise e.g. in embedded or networked control applications where limited computation or communication resources have to be scheduled. The uncertain and time-varying Sampling Period and time delay are transformed into polytopic and additive norm-bounded uncertainties in the discretized system description. Control design and stability analysis methods are given in the form of LMIs applying switched parameter-dependent quadratic Lyapunov functions. A reduction algorithm is proposed in order to decrease the amount of LMIs necessary for stability analysis. The control design and stability analysis methods as well as the reduction algorithm are illustrated by an example.

  • ON STABILITY AND CONTROL OF SYSTEMS WITH TIME-VARYING Sampling Period AND TIME DELAY
    IFAC Proceedings Volumes, 2007
    Co-Authors: Michal Izák, Daniel Gorges, Steven Liu
    Abstract:

    Abstract In this paper systems with time-varying Sampling Period and time delay are studied. Such problems arise e.g. in control applications where scheduling of limited computation or communication resources is necessary. Stability criteria are given for different types of Sampling Period and time delay variations. A control design method based on Lyapunov inequality minimizing a continuous-time quadratic cost function is presented. Using a simultaneous Lyapunov function, stability is guaranteed for arbitrary variations of Sampling Periods and time delays chosen from finite sets. The Lyapunov inequality is discretized and cast into LMIs for control design. The method is illustrated by an example.

Zhang Si-ying - One of the best experts on this subject based on the ideXlab platform.

Eugênio B. Castelan - One of the best experts on this subject based on the ideXlab platform.

  • Sampling Period assignment: A cooperative design approach
    53rd IEEE Conference on Decision and Control, 2014
    Co-Authors: Vitor M. Moraes, Marc Jungers, Ubirajara F. Moreno, Eugênio B. Castelan
    Abstract:

    In this paper, we assume that a set of non preemptive controller tasks should be implemented on a limited computational resource platform, and look for a Sampling Period assignment that allows to obtain the desirable performance. The problem is formulated as a multi-objective optimization problem under a resource constraint, where the cost functions depend on the Sampling Period. Linear-quadratic controllers are used, resulting on feedback gains that also depend on the Sampling Period. The global cost function is chosen as a weighted sum of all plants performances, translating the multi-objective optimization problem into a single-objective one which provides an additional degree of freedom and leads to a set of solutions denoted as Pareto efficient. To handle this additional variable, we assume a Nash bargaining cooperative game. An upper level task performs the update of the Sampling Period and of the plant input, to be used on a finite-horizon control strategy, for each control loop. A numerical example is provided to illustrate our approach.

  • CDC - Sampling Period assignment: A cooperative design approach
    53rd IEEE Conference on Decision and Control, 2014
    Co-Authors: Vitor M. Moraes, Marc Jungers, Ubirajara F. Moreno, Eugênio B. Castelan
    Abstract:

    In this paper, we assume that a set of non preemptive controller tasks should be implemented on a limited computational resource platform, and look for a Sampling Period assignment that allows to obtain the desirable performance. The problem is formulated as a multi-objective optimization problem under a resource constraint, where the cost functions depend on the Sampling Period. Linear-quadratic controllers are used, resulting on feedback gains that also depend on the Sampling Period. The global cost function is chosen as a weighted sum of all plants performances, translating the multi-objective optimization problem into a single-objective one which provides an additional degree of freedom and leads to a set of solutions denoted as Pareto efficient. To handle this additional variable, we assume a Nash bargaining cooperative game. An upper level task performs the update of the Sampling Period and of the plant input, to be used on a finite-horizon control strategy, for each control loop. A numerical example is provided to illustrate our approach.