Event-Based Robust Sampled-Data Model Predictive Control: A Non-Monotonic Lyapunov Function Approach

A novel event‐triggered extended state observer for networked control systems subjected to external disturbances

“…Up to date, some initial results have been reported in the literature concerning the NCSs with event‐triggered sampling schemes (see other works and the references therein). For instance, the event‐triggered mechanism with state‐independent threshold has been discussed to update the control input signals for multiagent systems in the work of Ding et al Two event‐based robust sampled‐data model predictive control strategies have been proposed for continuous‐time systems with disturbances . A stochastic energy‐dependent event‐triggering transmission protocol has been proposed to balance the communication rate and estimation performance according to the battery energy of the sensor .…”

“…For instance, the event-triggered mechanism with state-independent threshold has been discussed to update the control input signals for multiagent systems in the work of Ding et al 6 Two event-based robust sampled-data model predictive control strategies have been proposed for continuous-time systems with disturbances. 12 A stochastic energy-dependent event-triggering transmission protocol has been proposed to balance the communication rate and estimation performance according to the battery energy of the sensor. 13 In the work of Dhar et al, 14 a real-time event-triggered adaptive critic controller has been developed so as to achieve desired temperatures of a heating, ventilation, and air conditioning system.…”

“…min (P) ≜ 0.0199,12 ≜ max (P) ≜ 0.2849,13 ≜ 0.09,14 ≜ 0.1, ℏ 1 ≜ = 1.1047. Therefore, the quadratic functions V 1 (e(t)) and W 1 (e(t)) defined by(34) and (35) satisfy Assumption 1.…”

Distributed adaptive model‐based event‐triggered predictive control for consensus of multiagent systems

“…Some scholars have adopted the networked predictive control scheme (NPCS) to compensate for the communication delays actively, but most of them just applied this method to NCSs based on the traditional time-triggered control scheme, such as in the works of Wang et al 39 and Yang et al 40 Even though other works [41][42][43][44][45][46] have combined the event-triggered control with the predictive control idea and their purposes are variety, such as handling nonlinearities, reducing the frequencies of solving optimization problems, and thus saving computation resources, 46 or mainly focusing on the reduction problem of the communications, 42 or compensating for the communication channel imperfections (data dropout or communication delays), 41,47,48 all aforementioned works 41-46 also just considered single NCS with transmission delays, 47 or with data dropout, 41,48 or with output feedback, 45 or with bounded disturbances. 44,46 Despite the works of Mi and Li 49 and Liu et al 50 that have investigated the event-triggered predictive control (ETPC) design for distributed NCS, the main purpose of Mi and Li 49 is to reduce the unnecessary optimization (optimize and minimize the terminal constrained set in the maximal control invariant ellipsoid set to expand the feasible region) and the main purpose of Liu et al 50 is to further save the communication costs for the consensus of continuous-time linear MASs compared with existing relative works. Therefore, the methods proposed in other works [41][42][43][44][45][46]49,50 cannot be directly used to solve the consensus problem with communication delays compensation.…”

“…44,46 Despite the works of Mi and Li 49 and Liu et al 50 that have investigated the event-triggered predictive control (ETPC) design for distributed NCS, the main purpose of Mi and Li 49 is to reduce the unnecessary optimization (optimize and minimize the terminal constrained set in the maximal control invariant ellipsoid set to expand the feasible region) and the main purpose of Liu et al 50 is to further save the communication costs for the consensus of continuous-time linear MASs compared with existing relative works. Therefore, the methods proposed in other works [41][42][43][44][45][46]49,50 cannot be directly used to solve the consensus problem with communication delays compensation. As we know, even based on the traditional time-triggered control scheme, the protocol design for achieving consensus with predictive control is challenging due to MASs complexity, and by now, only few results can be available on this topic.…”