Network‐based integral sliding mode control for descriptor systems with event‐triggered sampling scheme

Abstract

Summary This paper investigates event‐triggered sliding mode control for descriptor systems subject to networked‐induced delay. For handling disturbance and saving data transmission in networks for descriptor systems, sliding model control and event‐triggered control are combined, whereas how to combine them to design a stable controller is challenging due to the complexity of descriptor systems. Firstly, a new discrete event‐triggered scheme is introduced for deciding whether sampled data is sent out or not for networked‐based descriptor systems. Secondly, integral‐type switching surface and event‐triggered scheme are integrated resulting in a novel time‐delay system. The existence condition of integral‐type switching surface and the stability condition of the sliding mode dynamic are presented. An event‐triggered sliding mode controller is derived for driving the closed‐loop system trajectories to the practical switching surface in finite time. Finally, two examples are employed to show the effectiveness and advantages of the proposed method.

Event‐triggered integral sliding mode control for fractional order T‐S fuzzy systems via a fuzzy error function

“…In order to eliminate the reaching phase, the event-triggered integral sliding mode control (ETISMC) is proposed. [40][41][42][43] Although a lot of results have been achieved on ETSMC in various fields, [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] there is still an open problem for FO T-S fuzzy systems. On the one hand, since the FO T-S fuzzy system is more complex than the integer order one, the FO integral sliding mode surface is more sophisticated than the integer order.…”

“…Considering that the linear sliding mode has reaching phase, system dynamics does not possess the property of insensitivity to noises and uncertainties during reaching phase. In order to eliminate the reaching phase, the event‐triggered integral sliding mode control (ETISMC) is proposed 40‐43 …”

“…Although a lot of results have been achieved on ETSMC in various fields, 26‐43 there is still an open problem for FO T‐S fuzzy systems. On the one hand, since the FO T‐S fuzzy system is more complex than the integer order one, the FO integral sliding mode surface is more sophisticated than the integer order.…”

A novel adaptive event‐triggering scheme for network descriptor systems with time‐delay

“…There are a lot of triggering schemes with a preselected constant threshold which has been put forward. 10,11,13,17,19,20 In Reference 20, a discrete event-triggering communication scheme is proposed for networks controls systems. A preselected constant threshold determines whether or not to send the sampled data.…”

A novel adaptive event‐triggered scheme for network descriptor systems with randomly occurring uncertainties and nonlinearities

“…Compared with the time‐triggered method, event‐triggered sampling (ETS) mechanism is more effective method for saving the communication threshold. ETS scheme has received considerable studies in many literatures 16‐28 . For example, the author in Reference 20 investigates event‐triggered sliding mode control problem for the stochastic systems.…”