Event‐triggered filter design for Markovian jump delay systems with nonlinear perturbation using quantized measurement

Abstract

Summary This paper deals with the problem of mixed passivity and H∞ filter design for a class of Markovian jump delay systems with nonlinear perturbation under event‐triggered scheme and quantization. Firstly, based on an integral inequality, a new sufficient condition for the stochastic stability and performance analysis of the filtering error system is proposed. Secondly, a mode‐dependent condition for the solvability of the filter design problem is given in terms of linear matrix inequalities (LMIs). The filter parameters can be derived using feasible solutions of the presented LMIs. Finally, three numerical examples are given to illustrate the effectiveness and advantages of the proposed filter design method.

Event‐triggered H∞ filtering for nonlinear discrete‐time stochastic systems with application to vehicle roll stability control

“…In addition, (x) = 1.3592x 2 and = 0.0029x 2 . We simulate nonlinear discrete-time stochastic system (37) and (38) for 50 times. Figure 2 shows the estimation error of z between (37) and (38).…”

“…We simulate nonlinear discrete-time stochastic system (37) and (38) for 50 times. Figure 2 shows the estimation error of z between (37) and (38). Based on these data, we calculate the approximate value of E ∑ k s=0 ||z(s)|| 2 and draw it in Figure 3.…”

“…Reference 33 further studied the case of the disturbance that has a predictable upper bound and designed a moving horizon estimator to handle these constraints. In order to deal with the disturbance with bounded energy, the H ∞ filtering based on event triggering has been studied; see, e.g., References 34–38. An event‐triggered communication mechanism was applied to the fault detection filtering problem for nonlinear networked systems in Reference 39.…”

Finite‐time boundedness of sliding mode control under periodic event‐triggered strategy

“…In fact, the system components (eg, controllers, sensors and actuators) are often jointed via communication networks. 14,15 In order to reduce the utilization of limited communication resources, a feasible method is to utilize some transmission protocols, including the event-triggered protocol, [16][17][18][19][20] the scheduling protocol of channels, [21][22][23] and so on. Under these protocols, only a part of the measured information may be transmitted via the shared communication channels.…”

Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays

“…As a result, the unnecessary communication resources are saved in the event-triggered scheme. In recent years, the event-triggered scheme has been utilized in the controller and filter design problem for various dynamic systems [31][32][33][34][35][36]. As for SMJSs, the event-triggered leader-following consensus for a multiagent system with semi-Markovian jumping parameters was studied in [37].…”