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HIERARCHICAL CONTROL FOR A CLASS OF UNCERTAIN PIECEWISE LINEAR HYBRID
 

Summary: HIERARCHICAL CONTROL FOR A CLASS OF
UNCERTAIN PIECEWISE LINEAR HYBRID
DYNAMICAL SYSTEMS
Hai Lin ,1
Xenofon D. Koutsoukos
Panos J. Antsaklis ,1

EE. Dept. Univ. of Notre Dame, Notre Dame IN-46556, USA

Xerox Palo Alto Research Center, Palo Alto, CA 94304, USA
Abstract: In this paper, we consider the hierarchical control problem for a class
of uncertain hybrid dynamical systems. The continuous dynamics of this class of
uncertain hybrid systems are described by linear difference state equations, whose
right side functions are unknown but lie within some convex hulls of known functions.
Our control objective is for the closed loop system to exhibit a desired behavior
under the dynamic uncertainty, continuous disturbances and uncontrollable events.
One of the main questions is the existence of appropriate controllers. We will focus
on this question here, and present a novel methodology for the analysis of uncertain
piecewise linear hybrid dynamical systems (PLHDS) based on backward reachability
analysis. For this purpose, we derive the predecessor operator for this class of uncertain

  

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

 

Collections: Engineering