Finite-time energy-to-peak control for Markov jump systems with pure time delays. (July 2022)

• Record Type: Journal Article
• Authors: Weng, Falu; Zeng, Yuqing; Yu, Zhongan; Ding, Yuanchun; Wang, Huan
• Is Part Of: Measurement and control. Volume 55:Number 7/8(2022)
• Page Start: 849
• Page End: 860
• Publication Date: 2022-07
• Subjects: Energy-to-peak control -- pure time delay -- Markov jump system -- finite-time stability theory; Automatic control -- Periodicals; Engineering instruments -- Periodicals; Production engineering -- Periodicals; 629.8
• DOI: 10.1177/00202940221104866
• Languages: English
• ISSNs: 0020-2940

Abstract

This study investigates finite-time energy-to-peak control for pure-time-delay Markov jump systems. The main objective is to obtain some theorems such that the corresponding pure-time-delay Markov jump systems are finite time energy-to-peak stable or stabilizable. First, based on mathematical transformation, the pure-time-delay Markov jump systems are described in a model description that includes the current system state and several distributed time-delay items. Second, according to linear matrix inequality (LMI) theory, a positive energy functional is constructed, which includes a triple integral item. Then, after some mathematical operations, some sufficient conditions are obtained for Markov jump systems to be finite-time energy-to-peak stable or stabilizable. The obtained results are expressed in LMIs, which can be conveniently solved by computers. Finally, examples are given to show the usefulness of the obtained theorems.