Event-Driven $\ell_{1}$-Gain Asynchronous Filter of Positive Markov Jump Systems

This paper investigates the event-driven asynchronous filter for positive Markov jump systems (PMJSs) by employing hidden Markov model. Based on the output of sensor measurement, a weighted event-driven threshold is established in the form of 1-norm. The stability of the corresponding augmented system is achieved by transforming the error signal into interval uncertain form. Under the established driven condition, an event-driven positive l
1
-gain asynchronous filter is constructed for PMJSs. Then, the asynchronous filter design for PMJSs with partial information of hidden Markov model is further addressed. All conditions are described in the linear programming (LP) form. Finally, one example is given to illustrate the validity of the proposed design.