Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings

The asymptotic stabilization problem is studied for a cascade connection of passive switched nonlinear systems and a passive switched nonlinear system in this paper. When each subsystem is asymptotically zero state detectable and passive on active time intervals, asymptotic stabilization is achieved via co-design of switching laws and controllers without damping injection. First, an output-feedback controller is designed to asymptotically stabilize a cascade connection of two passive switched systems if outputs are measurable. Second, when the output of the first switched system is noisy or unmeasurable, a sampled integral stabilization (SIS) technique is employed to investigate asymptotical stabilization of a cascade connection by measuring only the storage function of the second switched system. Finally, as a special case of a cascade connection, the SIS technique is used to stabilize a passive switched system without damping injection. Under this circumstance, the controller is designed by sampling the integral of the passive output. The two-link robot manipulator is provided to illustrate the effectiveness of the SIS technique. KEYWORDS asymptotical stabilization, min-switching law, passivity-based control, sampled integral stabilization (SIS) technique, switched nonlinear systems

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“…Lemma 1. Consider system (1). If there exist functions q i j ≤ 0 and C 1 positive definite functions V i (x(t)), such that…”

Section: Definitionmentioning

confidence: 99%

Passivity‐based asymptotic stabilization for switched nonlinear systems using the sampled integral stabilization technique

Wang

Zhao

2019

Intl J Robust & Nonlinear

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“…Although Roesser model can be recast into second FM model in some special cases (usually without delays), it is often studied separately in the literature due to its wide applications and special structure [36]. In general, with special structure, better results can be achieved.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of two-dimensional Markovian jump state-delayed systems in the Roesser model with uncertain transition probabilities

Hien

Trinh

2016

Information Sciences

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“…From the literature of modern nonlinear control, it is known that the presence of dynamical uncertainties makes the feedback control problem extremely challenging in the context of nonlinear systems. As a result, the problem of designing adaptive and robust controller for nonlinear systems with uncertainties has attained considerable attention [5,10,13,16,24,[33][34][35]38,45,[51][52][53]57]. Among that, Mu et al [35] proposed a general design scheme of finite-time switching mode manifolds and corresponding nonsingular controllers.…”

Section: Introductionmentioning

confidence: 99%

Data-based robust optimal control of continuous-time affine nonlinear systems with matched uncertainties

Wang

Liu

et al. 2016

Information Sciences

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Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings

Cited by 180 publications

References 32 publications

Passivity‐based asymptotic stabilization for switched nonlinear systems using the sampled integral stabilization technique

Passivity‐based asymptotic stabilization for switched nonlinear systems using the sampled integral stabilization technique

Stability analysis of two-dimensional Markovian jump state-delayed systems in the Roesser model with uncertain transition probabilities

Data-based robust optimal control of continuous-time affine nonlinear systems with matched uncertainties

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