Event-triggered feedback control for discrete-time piecewise affine systems subject to input saturation

Event-triggered $H_\infty$ static output feedback control of discrete time piecewise-affine systems

“…To relax this assumption, an event-triggered state feedback control of PWAs with guaranteed cost performance is discussed in [17] where a relative triggering manner is established on the control signal. This result is further extended by the same authors to the input saturation scenario [18]. It should be pointed out that these two results related to controller design are based on the availability of the system state.…”

“…Remark 1. Compared with [17] and [18] related to system states, the proposed triggering condition (7) just relies on system outputs. As a result, this could render new challenge of the co-design the affine term m i and static output feedback controller gain K i with the required disturbance attenuation performance.…”

“…Based on on distributed observers, [10] explores new dynamic triggering mechanisms for heterogeneous multiagent systems with nonuniform communication delays. However, only few are available to PWAs [16,17,18]. To be specific, in [16], the fault detection of a PWA T-S system with output saturation is set up in the event-triggered framework which is related to the fault.…”

Fixed‐time event‐triggered consensus of second‐order multi‐agent systems with fully continuous communication free

“…In these aforementioned works, the control strategies related to time‐triggered systems only focused on the desired convergence time. Such time‐triggered systems cannot avoid continuous communication and updating of the controller, which may result in the waste of network resources and unnecessary energy consumption [26, 27]. The event‐triggered control scheme provides an effective way to overcome these constraints, and many instructive results have been obtained [28, 29].…”

Multigradient recursive reinforcement learning NN control for affine nonlinear systems with unmodeled dynamics

“…In the work of Chen et al, the integral sliding mode control was developed for nonlinear affine system. In the work of Ma et al, the event‐triggered feedback control was developed for piecewise affine system. Based on the aforementioned discussions, however, there is no result about the MGR‐based RL optimal control strategy for affine systems, and this is a new challenge in the current study.…”