Robust reliable H_∞ control design for networked control systems with nonlinear actuator faults and randomly missing measurements

Abstract

Summary In this paper, the robust reliable H∞ controller is designed for the problem of nonlinear actuator fault case in the uncertain networked control systems with randomly occurring missing data. More precisely, the occurrence of missing measurements is modeled by a stochastic variable in terms of Bernoulli random distribution. Also, the consideration of a nonlinear term in the input control scheme is a novel work for the proposed model. Suitable robust reliable design of control for a practical actuator fault model is constructed to guarantee the asymptotic stability of the system with H∞ performance level. A new form of Lyapunov‐Krasovskii functional with triple integral terms are formulated, and the reciprocally convex technique is utilized to establish the sufficient stability criterion in the form of linear matrix inequalities. Finally, the effectiveness of the proposed control method is shown through numerical examples, and we can confirm that the derived condition attained less conservatism than the existing results.

Active fault‐tolerant load frequency control for multi‐area power systems with electric vehicles under deception attacks

“…Furthermore, defining ē(t ) = x(t ) − x(t ) and subtracting (17) to (18), we can obtain that S ̇e(t ) = S ̇x(t ) − S ẋ(t )…”

“…Fault tolerant control can ensure the safe operation of the controlled system when faults occur [18]. Among related researches, fault-tolerant control was used in different areas, such as islanded microgrids [19], satellite attitude control systems [20], wind turbines [21], and battery storage systems [22].…”

High‐degree cubature Kalman filter for nonlinear state estimation with missing measurements

“…The phenomena of missing measurements are inevitable in many practical situations because of certain factors of unreliable observations. For instance, the situations contain intermittent failures in the observation mechanism, fading phenomena in the propagation channels, accidental loss of some measurements, and inaccessibility of the data at some times [28][29][30][31][32][33][34]. Generally speaking, the phenomenon of missing measurements is characterized by the Markov chain or by the Bernoulli distributed random variable, and the latter is common [35][36][37].…”

Robust Exponential H ∞ Fault Tolerant Control for Sampled-Data Control Systems With Actuator Failure: A Switched System Method

“…In [7], some sufficient conditions are given to guarantee the asymptotic mean-square stability of the systems associated with the stochastic actuator failures. The robust reliable H ∞ controller is constructed for systems with nonlinear actuator fault in [8].…”