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Hybrid H State Feedback Control for Discrete-Time Switched Linear Systems Hai Lin and Panos J. Antsaklis
 

Summary: Hybrid H State Feedback Control for Discrete-Time Switched Linear Systems
Hai Lin and Panos J. Antsaklis
Abstract-- In this paper, the co-design of continuous-variable
controllers and discrete-event switching logics, both in state
feedback form, for discrete-time switched linear control systems
is investigated. Sufficient synthesis conditions for this co-design
problem are proposed here in the form of bilinear matrix
inequalities, which is based on the argument of multiple
Lyapunov functions. The closed-loop switched system forms a
special class of piecewise linear hybrid systems, and is shown
to be exponentially stable with a finite l2 induced gain.
Index Terms-- Switched systems, controller synthesis, l2 in-
duced gain, Lyapunov methods.
I. INTRODUCTION
A remarkable feature of a switched system is that even
when all its subsystems are unstable it may still be possible
to stabilize it by properly designed switching laws [12],
[6], [15]. The synthesis of stabilizing switching signals for
a given collection of dynamical systems, especially linear
systems, has attracted a lot of attention recently; see for

  

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

 

Collections: Engineering