Event‐triggered H‐infinity stabilization for singular systems with state delay

Abstract

This paper is concerned with the problems of stability analysis, controller design, and H∞ control for singular systems with state delay and disturbance based on event‐triggered control. Firstly, the corresponding model of this system is proposed, taking into consideration issues of regular, impulse free, and stability. According to the model, the admissible condition is derived in terms of Lyapunov‐Krasovskii stability theory, and the co‐design method of the H∞ controller and event‐triggered scheme is also presented based on the above results. The presented method emphasizes the employment of event‐triggered control to a class of singular systems with time delay. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed method.

Dynamic output‐feedback event‐triggered H∞ control for singular active seat suspension systems with a human body model

“…Set G = (PĒ + ZQ) T and M = G 12 K . Substituting them to inequalities ( 7) and ( 8), we can get inequalities (15) and (16). Based on the proof of Theorem 1, Theorem 2 is conformed.…”

“…An event‐triggered static output‐feedback controller is designed for active vehicle suspension systems with network‐induced delays in [14]. Based on event‐triggered control, control for singular systems with state delay and disturbance is concerned in [15].…”

Event-Triggered H-Infinity Control for Continuous-Time Singular Networked Cascade Control Systems With State Delay

“…Lemma 2 [38]: For any real matrix E, P, and symmetric positive-definite matrix Z with appropriate dimensions, the following inequality holds…”

“…For SNCCS with state delay and event-triggered control, because of the existence of algebraic subsystems, eventtriggered control, and cascade control, the entire structure of SNCCS becomes very complex and many issues should be considered simultaneously, such as regularity, impulse, stability, network-induced delay, state delay, cooperative work of event-triggered scheme and two controllers. Although Lyapunov-Krasovskii method is a popular and efficient one to analyze the problem for dynamical systems [37], [38], the problems of modeling, selection of Lyapunov-Krasovskii functional, and the calculation and processing of its derivative along the motion of SNCCS may be challenging for scholars.…”

H∞ output quantized control for networked control systems under resilient event‐triggered mechanism and aperiodic denial‐of‐service attacks

“…To save system resources, ETC is presented [11], which executes control tasks only when triggering conditions are satisfied. Since the ETC performs control tasks only when needed, unnecessary waste of system resources can be effectively reduced [12]. Although many important ETC results have been presented, few works consider effects of DoS attacks on ETC systems, which is another motivation.…”