Chaos-EP-Based Digital Redesign of Uncertain Hybrid Time-Delay Systems With State and Input Constraints

This paper presents a chaos and evolutionary programming (CEP)-based digital redesign scheme. This scheme can determine a practically implementable low-gain digital tracker for global optimization of hybrid uncertain input-delay systems with constraints on states and inputs. The proposed global-optimization searching technique, which was provided in the evolutionary programming together with a chaotic optimization algorithm, is utilized to determine the low-gain digital tracker. This technique takes into consideration the relatively large sampling time and the intersampling behavior for digital control of hybrid input-delay systems with unknown-but-bounded parameter uncertainties. Moreover, the newly developed CEP-based digital redesign scheme provides less conservative results than those obtained by the conventional interval methods. One illustrative example is given to demonstrate the effectiveness of the new scheme compared with the conventional methods.