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Characterizing Uniformly Ultimately Bounded Switching Signals for Uncertain Switched Linear Systems
 

Summary: Characterizing Uniformly Ultimately Bounded Switching Signals for
Uncertain Switched Linear Systems
Hai Lin and Panos J. Antsaklis
Abstract-- In this paper, the uniformly ultimately bounded
(UUB) switching control problem is investigated for a class
of continuous-time switched linear systems with parametric
uncertainties and exterior disturbances. It is assumed that each
subsystem is UUB. First, a class of switching signals, which may
contains infinite number of switching and preserves the UUB of
the switched systems, is characterized. Then, a switching law is
synthesized to improve the disturbance attenuation properties
in the sense that all state trajectories can converge into a smaller
region than any single subsystem acts alone. The switching law
is given as a static state feedback form, and provides a conic
partition of the state space. To avoid unstable sliding motions,
some modifications are introduced later. The techniques are
based on multiple polyhedral Lyapunov functions.
I. INTRODUCTION
A switched system is a dynamical system that consists
of a finite number of subsystems described by differential

  

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

 

Collections: Engineering