Disturbance decoupling of switched nonlinear systems

Zhang, Lin; Cheng, Daizhan; Li, C.

doi:10.1049/ip-cta:20051120

Cited by 17 publications

(9 citation statements)

References 9 publications

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“…In particular, in [15,16] it was shown that the reachable set of an SLS is equal to the smallest controlled invariant set containing the subspace spanned by all the input matrices of the individual subsystems. For switched nonlinear systems, the only work known to the authors is [20]. In [20] local versions of DDP with respect to continuous disturbances are solved using both modedependent and mode-independent static state feedback.…”

Section: Introductionmentioning

confidence: 99%

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Disturbance decoupling of switched linear systems

Yurtseven

Heemels

Camlibel

2012

Systems & Control Letters

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In this paper, we consider disturbance decoupling problems for switched linear systems. We will provide necessary and sufficient conditions for three different versions of disturbance decoupling, which differ based on which signals are considered to be the disturbance. In the first version, the exogenous input is considered as the disturbance, in the second, the switching signal and in the third both of them are considered as disturbances. All three versions of disturbance decoupling have direct counterparts for linear parameter-varying (LPV) systems, while the latter instance of the problem is relevant for disturbance decoupling of piecewise linear systems, as we will show. The solutions of the three disturbance decoupling problems will be based on geometric control theory for switched linear systems and will entail both mode-dependent and mode-independent static state feedback

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Section: Introductionmentioning

confidence: 99%

“…For switched nonlinear systems, the only work known to the authors is [20]. In [20] local versions of DDP with respect to continuous disturbances are solved using both modedependent and mode-independent static state feedback.…”

Section: Introductionmentioning

confidence: 99%

Disturbance decoupling of switched linear systems

Yurtseven

Heemels

Camlibel

2012

Systems & Control Letters

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“…The switching signal σ can be characterized by the switching sequence (2) in which t 0 is the initial time, x 0 is the initial state and N is the set of nonnegative integers. When t ∈ [t k , t k+1 ], σ(t) = i k , that is the i k th subsystem is active.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems

Lian

Zhao

2010

J. Control Theory Appl.

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This paper develops a new method to deal with the robust H-infinity control problem for a class of uncertain switched nonlinear systems by using integral sliding mode control. A robust H-infinity integral sliding surface is constructed such that the sliding mode is robust stable with a prescribed disturbance attenuation level γ for a class of switching signals with average dwell time. Furthermore, variable structure controllers are designed to maintain the state of switched system on the sliding surface from the initial time. A numerical example is given to illustrate the effectiveness of the proposed method.

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“…Some results for stability of switched nonlinear system are found in [24,11,13]. Other syntheses, such as controllability and disturbance decoupling of switched nonlinear system, have been investigated in [3,23]. Various methods, such as common Lyapunov function, LMI approach and nonlinear programming, etc.…”

Section: Introductionmentioning

confidence: 99%

On stability of switched homogeneous nonlinear systems

Zhang

Liu

Lan

2007

Journal of Mathematical Analysis and Applications

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In this paper, the problem of stability of switched homogeneous systems is addressed. First of all, if there is a quadratic Lyapunov function such that nonlinear homogeneous systems are asymptotically stable, a matrix Lyapunov-like equation is obtained for a stable nonlinear homogeneous system using semi-tensor product of matrices, and Lyapunov equation of linear system is just its particular case. Following the previous results, a sufficient condition is obtained for stability of switched nonlinear homogeneous systems, and a switching law is designed by partition of state space. In particular, a constructive approach is provided to avoid chattering phenomena which is caused by the switching rule. Then for planar switched homogeneous systems, an LMI approach to stability of planar switched homogeneous systems is presented. Similar to the condition for linear systems, the LMI-type condition is easily verifiable. An example is given to illustrate that candidate common Lyapunov function is a key point for design of switching law.

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Disturbance decoupling of switched nonlinear systems

Cited by 17 publications

References 9 publications

Disturbance decoupling of switched linear systems

Disturbance decoupling of switched linear systems

Robust H-infinity integral sliding mode control for a class of uncertain switched nonlinear systems

On stability of switched homogeneous nonlinear systems

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