Stability of Time-Delay Feedback Switched Linear Systems

Vu, Linh; Morgansen, Kristi A.

doi:10.1109/tac.2010.2053750

Cited by 193 publications

(90 citation statements)

References 10 publications

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“…In this paper, the controller's switching signal is a delayed version of the plant's switching signal, i.e. the control signal going into the plant is (2) where is the uncertain switching delay satisfying We assume that the maximal switching delay is known a priori and Then the corresponding closed-loop system is given by We will employ the merging signal technique in [18] …”

Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

“…Recently, the control issue of switched systems with asynchronous switching signal has drawn increasing attention [17][18][19][20][21][22][23]. In many situations, when the switching signal available to the controller is a delayed version of the system's switching, the closed-loop systems can have asynchronous switching.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [18] addressed stability of state feedback switched linear systems in which time-delays are present in both the feedback state and the switching signals of the controller. In [20], the issue of asynchronous H∞ control for a class of switched delay systems was investigated.…”

Section: Introductionmentioning

confidence: 99%

“…First, we consider a more general class of switched systems, in which the subsystem is singular systems and time-delay exists in both the state and the controller's switching signal. This class of switched systems covers those considered in [18], [20] and [21] as special cases, where only timeinvariant time-delays or switching delay was considered, or all subsystems were required to be nonsingular; Second, by constructing a new piecewise Lyapunov-Krasovskii functional and using the merging signal method, some sufficient conditions are derived to guarantee the closed-loop system to be exponential admissible. Third, we show that the influence caused by asynchronous switching can be compensated by designing the switching signal satisfying a switching delay-dependent average dwell time scheme.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asynchronous Stabilization of Switched Singular Systems with Interval Time-Varying Delays

Liu¹,

Wang²,

Wu³

2015

IJCA

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Section: Preliminaries and Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Asynchronous Stabilization of Switched Singular Systems with Interval Time-Varying Delays

Liu¹,

Wang²,

Wu³

2015

IJCA

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show abstract

“…Moreover, because of the existence of time-delay phenomena that destabilize the system, the stability analysis and control design of time-delay systems are more complex and difficult. For instance, [35] discussed the stability of time-delay feedback switched linear systems; furthermore, in [40], a piecewise Lyapunov-Krasovskii functional was utilized to deal with the stabilization problem for a class of switched stochastic time-delay systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fuzzy Output-Feedback Tracking Control for a Class of Switched Stochastic Nonlinear Time-Delay Systems

Liu

Niu

Chu

et al. 2015

Circuits Syst Signal Process

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In this paper, a design scheme for an adaptive fuzzy tracking controller is proposed for a class of switched stochastic nonlinear time-delay systems via dynamic output-feedback. First, a reduced-order observer is introduced to estimate the unmeasurable states of the switched system. During the adaptive controller design procedure, an appropriate stochastic Lyapunov-Krasovskii functional deals with the time-delay terms, and fuzzy logic systems are employed to approximate the unknown nonlinearities. Based on the designed controller, the semi-globally uniform ultimate boundedness of all the closed-loop signals is guaranteed and the tracking error converges to a small Circuits Syst Signal Process neighborhood of the origin. Finally, a simulation example is given to illustrate the validity of the proposed approach.

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Stabilization of Discrete‐time Switched Systems with State Constraints Based on Mode‐Dependent Average Dwell Time

Wang

et al. 2016

Asian Journal of Control

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This paper considers the stabilization problem for a class of switched systems with state constraints based on mode‐dependent average dwell time (MDADT) in discrete‐time context. An improved average dwell time method is proposed, which is less conservative than the common average dwell time method. The sufficient conditions and stabilizing state feedback controllers for stabilization of discrete‐time switched systems with state constraints under MDADT switching are derived. Finally, the simulation results show that the approach designed by this paper is effective.

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Stability of Time-Delay Feedback Switched Linear Systems

Cited by 193 publications

References 10 publications

Asynchronous Stabilization of Switched Singular Systems with Interval Time-Varying Delays

Asynchronous Stabilization of Switched Singular Systems with Interval Time-Varying Delays

Adaptive Fuzzy Output-Feedback Tracking Control for a Class of Switched Stochastic Nonlinear Time-Delay Systems

Stabilization of Discrete‐time Switched Systems with State Constraints Based on Mode‐Dependent Average Dwell Time

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