chapter  6
60 Pages

Adaptive Reliable Control for Time-Delay Systems

Time-delays are frequently encountered in many practical systems such as chemical processes, electrical heaters and long transmission lines in pneumatic, hydraulic and rolling mill systems [12, 13, 29, 55, 76, 80, 103, 111, 116, 157]. Since the existence of a delay in a physical system often induces instability of poor performance, research on time-delay systems is a topic of great practical and theoretical importance [35, 36, 37, 39, 40, 45, 49, 50, 52, 53]. During the last decade, the control problem of systems with time-delay has received considerable attention [58, 59, 60, 61, 62, 82, 86, 160]. The main methods can be classified into two types: delay-independent ones [75, 91, 158] and delaydependent ones [13, 16, 22, 38, 73, 75, 77, 112, 144, 158, 163]. Usually, delaydependent ones can provide less conservative results than delay-independent ones. Both controllers with or without memory have been proposed for the study of delay-dependent control synthesis of time-delay systems.