Abstract. This paper is concerned with the quadratic stabilization for a class of switched nonlinear singular systems. For this class of switched systems, when each individual subsystem fails to be minimum-phase, the quadratic stabilization problem is solved via designing switching law. This extends available results for non-switched nonlinear singular systems.
Dimirovski, Georgi M. (Dogus Author)This paper addresses the issues of passivity and feedback passivation of switched nonlinear systems via multiple storage functions. The concept of storage-like functions for switched systems is presented. A sufficient condition for passivity of switched nonlinear systems is given via multiple storage functions under some switching signal. Then, the result is extended to find conditions under which a switched system is feedback equivalent to a passive switched system. Furthermore, passivity of switched cascade systems is investigated
SUMMARYThe issue of observer-based tracking control for switched linear systems with time-varying delay is investigated in this paper. The possibility of designing switching control laws based on measured output is considered when the states are not available. Hysteresis based switching method and single LyapunovKrasovskii functional method are utilized to the stability analysis and controller design. By introducing the descriptor system method, the consideration of mixed mode is avoided sinceẋ(t) can be seen as state variable, and thus it is not necessary to substituteẋ(t) everywhere by the right-hand part of the system. The variation-of-constants formula is used to overcome the difficulties caused by the estimation error and exotic disturbance. Free weighting matrix scheme facilitates us to the stability analysis and control synthesis, and the numerical example shows the effectiveness of the proposed design methods.
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