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New method of fault-distribution-dependent memory-reliable controller design for discrete-time systems with stochastic input delays

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3 Author(s)
Gu, Z. ; Coll. of Power Eng., Nanjing Normal Univ., Nanjing, China ; Wang, D. ; Yue, D.

A new memory-reliable controller design for a class of discrete-time systems with time-varying input delays is proposed. By assuming that the actuator fault obeys a certain probabilistic distribution, a new practical actuator fault model is presented. Based on this fault model and the known past information, an augmented system with time-varying delay or non-delay, similar to switched systems, is established. By using the Lyapunov-Krasovskii approach, a sufficient condition for the existence of reliable controller is expressed by linear matrix inequalities. An illustrative example is exploited to show the effectiveness of the proposed design procedures.

Published in:

Control Theory & Applications, IET  (Volume:5 ,  Issue: 1 )