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Switching Stabilization and l2 Gain Performance Controller Synthesis for Discrete-Time Switched Linear Systems
 

Summary: Switching Stabilization and l2 Gain Performance Controller Synthesis
for Discrete-Time Switched Linear Systems
Hai Lin and Panos J. Antsaklis
Abstract-- In this paper, the switching controller synthesis
problem for a class of discrete-time switched linear systems
is considered. In particular, a state dependent switching law is
designed to exponentially stabilize the switched systems, while a
finite l2 induced gain is achieved. Sufficient synthesis conditions
are proposed as bilinear matrix inequalities, which are derived
based on multiple Lyapunov functions.
I. INTRODUCTION
The stability issues of switched systems, especially
switched linear systems, have attracted a lot of attentions
recently and the literature on this topic is immense; see for
example the survey papers [15], [19], [7], [25], the recent
books [16], [26] and the references cited therein. Generally
speaking, the literature on switched systems' stability can
be divided into two groups. One is on the stability analysis
of switched systems under given switching signals (maybe
arbitrary, slow switching etc.); the other is on the synthesis

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering