Network‐based robust event‐triggered control for continuous‐time uncertain semi‐Markov jump systems

• Published in: International journal of robust and nonlinear control 2021-01, Vol.31 (1), p.306-323
• Main Authors: Zhang, Linchuang, Sun, Yonghui, Pan, Yingnan, Hou, Dongchen, Wang, Sen
• Format: Article
• Language: English
• Subjects: actuator fault; Actuators; Aircraft engines; Control systems design; Controllers; Delay; Event triggered control; Linear matrix inequalities; Markov processes; networked uncertain semi‐Markov jump systems; Parameters; quantization; Robust control; robust event‐triggered control
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.5274

Summary This article investigates the event‐triggered (ET) states feedback robust ℋ∞ control problem for a class of continuous‐time networked semi‐Markov jump systems (S‐MJSs). An ET scheme, which depends on semi‐Markov process, is presented to design a suitable controller and save communication resources. To cope with the network transmission delay phenomenon, a time‐delay S‐MJSs model under the ET scheme is introduced to describe this phenomenon. Then, it is assumed that the communication links between event detector and zero‐order holder are imperfect, where the signal quantization and the actuator fault occur simultaneously. The sufficient conditions are derived by means of linear matrix inequalities approach, which guarantees the stochastic stability of the constructed time‐delay S‐MJSs in an optimized ℋ∞ performance level. Based on these criteria, the parameters of controller under the ET scheme are readily calculated. Some simulation results with respect to F‐404 aircraft engine system for two kinds of ET parameters are given to validate the proposed method.