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

|