Event‐triggered finite‐time reliable control for nonhomogeneous Markovian jump systems

• Published in: International journal of robust and nonlinear control Vol. 30; no. 5; pp. 1831 - 1849
• Main Authors: Gao, Xiaobin, Deng, Feiqi, Li, Xiao‐Meng, Zhou, Qi
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 25.03.2020
• Subjects: Actuators; Control systems design; Controllers; event‐triggered scheme; finite‐time control; H-infinity control; Linear matrix inequalities; Mathematical analysis; nonhomogeneous Markovian jump systems; Production planning; reliable control; time‐varying delays; Transition probabilities
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.4858

Summary This article investigates the event‐triggered finite‐time reliable control problem for a class of Markovian jump systems with time‐varying transition probabilities, time‐varying actuator faults, and time‐varying delays. First, a Luenberger observer is constructed to estimate the unmeasured system state. Second, by applying an event‐triggered strategy from observer to controller, the frequency of transmission is reduced. Third, based on linear matrix inequality technique and stochastic finite‐time analysis, event‐triggered observer‐based controllers are designed and sufficient conditions are given, which ensure the finite‐time boundedness of the closed‐loop system in an H∞ sense. Finally, an example is utilized to show the effectiveness of the proposed controller design approach.