Exponential stabilization of singularly perturbed switched systems subject to actuator saturation

Lian, Jie; Wang, Xiaona

doi:10.1016/j.ins.2015.05.031

Cited by 33 publications

(19 citation statements)

References 29 publications

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“…In many SPSs, is usually a known physical parameter. Based on the fact that is available for feedback control, some synthesis problems are considered in [19,20,22]. In [22], for a given -bound 0 , under the dwell time switching law, the -dependent multiple Lyapunov function method was proposed to ensure exponential stability of the original switched system.…”

Section: Problem Formulationmentioning

confidence: 99%

“…However, few results on the -bound estimation are available for SPSSs. The exceptions were given by [21,22]. A convex optimization based method was presented to make the best estimate of -bound for SPSSs whose fast switched subsystems can not depend on the switching signal in [21].…”

Section: Introductionmentioning

confidence: 99%

“…A convex optimization based method was presented to make the best estimate of -bound for SPSSs whose fast switched subsystems can not depend on the switching signal in [21]. The -dependent stabilization and -bound problems were addressed by adopting dwell time switching signal and constructing -dependent multiple Lyapunov functions for SPSSs in [22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

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This paper is concerned with the design of fuzzy controller with guaranteed ∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter is developed. This controller is shown to work well for all ∈ (0, 0 ]. Then, for sufficiently small , an -independent controller design method is proposed. Furthermore, under the -independent controller, the -bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Wang

Zhou

Dai

et al. 2017

Mathematical Problems in Engineering

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“…Recently, some researchers have focused on SPSs subject to actuator saturation . However, there are a few results on SPSSs subject to actuator saturation . In the work of Lian and Wang, the ε‐dependent stabilization problem was solved by designing a time‐dependent switching law and the convex optimization problems were formulated to enlarge the basin of attraction.…”

Section: Introductionmentioning

confidence: 99%

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Wang

Zhou

et al. 2017

Intl J Robust & Nonlinear

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Summary This paper addresses the disturbance rejection problem for singularly perturbed switched systems subject to actuator saturation. We focus our attention on the synthesis of feedback control laws to achieve disturbance rejection for the systems. By using the average dwell‐time approach together with the piecewise Lyapunov function technique, sufficient conditions for the existence of a controller are derived in terms of LMIs, which are independent of the singular perturbation parameter ε. Some convex optimization problems are formulated to get a larger estimate of the basin of attraction and a better disturbance rejection ability. The state‐feedback controller depends on the singular perturbation parameter ε, but it is shown to be well posed for all ε∈(0,ε0]. In addition, if ε is sufficiently small, the ε‐dependent controller can be reduced to an ε‐independent one. Finally, a hydraulic servoposition system is used to show the feasibility and effectiveness of the obtained results.

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“…The multiple Lyapunov functions were employed in [5]. For slow switching systems, the average dwell time technique was suggested in several papers (see [6,7] and the references therein) to cope with the stability problem.…”

Section: Introductionmentioning

confidence: 99%

Robust H∞ Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach

Kchaou

Ahmadi

2017

Complexity

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This paper addresses the problem of sliding mode control (SMC) design for a class of uncertain switched descriptor systems with state delay and nonlinear input. An integral sliding function is designed and an adaptive sliding mode controller for the reaching motion is then synthesised such that the trajectories of the resulting closed-loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent times. Moreover, based on a new Lyapunov-Krasovskii functional, a delaydependent sufficient condition is established such that the admissibility as well as the ∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delay, external disturbances, and nonlinear input which comprises dead-zones and/or sector nonlinearities. The major contributions of this paper of this approach include (i) the closed-loop system exhibiting strong robustness against nonlinear dynamics and (ii) the control scheme enjoying the chattering-free characteristic. Finally, two representative examples are given to illustrate the theoretical developments.

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Exponential stabilization of singularly perturbed switched systems subject to actuator saturation

Cited by 33 publications

References 29 publications

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Robust H∞ Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach

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Exponential stabilization of singularly perturbed switched systems subject to actuator saturation

Cited by 33 publications

References 29 publications

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

Disturbance rejection of singularly perturbed switched systems subject to actuator saturation

Robust H∞ Control for Nonlinear Uncertain Switched Descriptor Systems with Time Delay and Nonlinear Input: A Sliding Mode Approach

Contact Info

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H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems

H_∞ Control for T‐S Fuzzy Singularly Perturbed Switched Systems