Digital Stabilization of Fuzzy Systems with Time-Delay and Its Application to Backing up Control of a Truck-Trailer

10.30000/IJFS.200703.0003

Chang-Woo Park；Bong-Seok Kim；Jongbae Lee

Fuzzy control ； Digital fuzzy system ； Time-delay ； Linear matrix inequality

International Journal of Fuzzy Systems

9卷1期（2007 / 03 / 01）

14 - 21

英文

This paper presents the design methodology of digital fuzzy controller (DFC) for the systems with time-delay. We propose the fuzzy feedback controller whose output is delayed with unit sampling period and predicted. The analysis and the design problem considering time-delay become very easy because the proposed controller is syncronized with the sampling time. The stabilization problem of the digital fuzzy system with time-delay is solved by linear matrix inequality (LMI) theory. Convex optimization techniques are utilized to solve the stable feedback gains and a common Lyapunov function for designed fuzzy control system. Furthermore, we develop a control system for backing up a computer-simulated truck-trailer with the consideration of time-delay. By using the proposed method, we design a DFC which guarantees the stability of the control system in the presence of time-delay.