State Nullification of Switched Systems by Linear Output Feedback
نویسنده
چکیده
The problem of state nullification of switched systems is studied. Specifically, we study the possibility to steer the state of a single-input singleoutput linear switched system to the origin in finite time by output feedback with finite memory. We show that if the system is in a controller canonical form, a causal state nullifying controller exists. We also show that, generically, only acausal feedback can achieve state nullification. This is in contrast with the fact that state nullification is generically possible when there is no unpredictable switching (linear time varying systems).
منابع مشابه
A new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملEigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملState Nullification by Memoryless Output Feedback
We examine linear single-input single-output finite-dimensional systems. It is shown that a continuous time controllable and observable system can be nullified utilizing periodic sampling of the output with time-varying linear feedback. Almost any sampling rate can be used. The result relies on a characterization of linear output feedback nullification of discrete time observable and controllab...
متن کاملMemoryless output nullification and canonical forms, for time varying systems
We study the possibility of nullifying time-varying systems with memoryless output feedback. The systems we examine are linear single-input single-output finite-dimensional time-varying systems. For generic completely controllable and completely observable discrete-time systems, we show that any state at any time can be steered to the origin within finite time. An algorithm for nullification an...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007