15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
AN APPROACH TO STABLE CONTROLLER DESIGN OF PIECEWISE DISCRETE TIME LINEAR SYSTEMS
Gang Feng, Dong Sun and Shaosheng Zhou
Dept. of Manufacturing Engineering & Engineering Management
City University of Hong Kong
Tat Chee Ave., Kowloon
Hong Kong
Email: megfeng@cityu.edu.hk

This paper presents a controller design method for piecewise discrete time linear systems based on a piecewise smooth Lyapunov function. It is shown that the resulting closed loop system is globally stable and the controller can be obtained by solving a set of linear matrix inequalities that is numerically feasible with commercially available software.
Keywords: Control system design, Discrete time systems, Linear matrix inequality, Lyapunov functions, Piecewise linear controllers, Stability
Session slot T-Th-M17: Discrete time linear systems/Area code 2b : Linear Systems