Improved reachable set estimation of discrete‐time systems with time‐varying delay. (27th March 2017)

• Record Type: Journal Article
• Authors: Feng, Zhiguang; Zheng, Wei Xing
• Is Part Of: Optimal control applications and methods. Volume 38:Number 6(2017)
• Page Start: 1081
• Page End: 1090
• Publication Date: 2017-03-27
• Subjects: discrete‐time systems -- reachable set estimation -- time‐delay systems; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2316
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: This paper is concerned with the problem of reachable set estimation of discrete‐time systems with time‐varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by‐product. Numerical examples are presented to validate the effectiveness of the obtained results.