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Robust Invariant Control Synthesis for Discrete-Time Polytopic Uncertain Linear Hybrid Systems 1
 

Summary: Robust Invariant Control Synthesis for Discrete-Time
Polytopic Uncertain Linear Hybrid Systems 1
Hai Lin and Panos J. Antsaklis
Dept. of Electrical Engineering, Univ. of Notre Dame, Notre Dame, IN 46556, USA
Abstract
In this paper, a class of discrete-time uncertain linear
hybrid systems, which is affected by both parameter
variations and exterior disturbances, is considered. The
goal here is to synthesize a hybrid control law, which
includes the continuous variable control law and the
discrete event control signal, so as to guarantee the
controlled invariance for a specific region in the hybrid
state space. It turns out that the continuous variable
control law is a piecewise linear state feedback control
based on the partition of the given region's continuous
variable state space projection. A numerical example
is given for illustration.
1 Introduction
Most physical systems are subject to state and in-
put/output constraints due to safety requirements or

  

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

 

Collections: Engineering