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Improved reachable set estimation of discrete‐time systems with time‐varying delay
Author(s) -
Feng Zhiguang,
Zheng Wei Xing
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2316
Subject(s) - mathematics , set (abstract data type) , bounded function , discrete time and continuous time , stability (learning theory) , control theory (sociology) , regular polygon , upper and lower bounds , mathematical optimization , computer science , mathematical analysis , statistics , control (management) , geometry , machine learning , artificial intelligence , programming language
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.