Co-design of observer-based multiple weighting event-triggered and quadruple asynchronous control for fuzzy semi-Markov jump systems

Abstract

This paper studies the co-design issue of observer-based dual multiple weighting event-triggered and quadruple asynchronous control for the Takagi-Sugeno fuzzy semi-Markov jump systems with actuator faults. Owing to the network-induced delay, external disturbance and other factors, the premise variables and modes information among the system, event generators, observer and controller cannot always match. In addition, there are often unmeasurable state variables and waste of limited network resources in practical systems. Therefore, an asynchronous observer-based controller and two multiple weighting asynchronous event-triggered schemes are developed simultaneously for the fuzzy semi-Markov jump systems by using hidden semi-Markov models. Based on the above quadruple asynchronous control framework, new sufficient conditions are developed to ensure that the related parameters of the designed observer, controller and event generators can be obtained. Eventually, the effectiveness of the proposed method is demonstrated by two simulation examples, with the second example ensuring the stable operation of the tunnel diode circuit system.