Fault tolerant sampled-data <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si98.svg"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> control for networked control systems with probabilistic time-varying delay
Fang Fang, Haotian Ding, Yajuan Liu, Ju H. Park
Abstract
In this study, the problem of fault-tolerant sampled-data H∞ control for a networked control system with random time delays and actuator faults is investigated. Stochastic variables conforming with the Bernoulli distribution are considered to depict random time delays. A state feedback sampled-data controller is designed to ensure the asymptotical stability and H∞ performance of the resulting closed-loop system. By applying the Lyapunov–Krasovskii stability theory and the reciprocally convex combination lemma, a stability criterion for a random time-varying delay system is developed that guarantees the designed controller can satisfy the requirements of stability and maneuverability. The desired controller gain is then found based on the linear matrix inequalities. Finally, as a real application, a quarter-vehicle suspension system model is provided to demonstrate the benefits and validity of the proposed control law.