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Fault detection for a class of nonlinear networked control systems. (English) Zbl 1200.93085
Summary: An observer-based Fault Detection (FD) method is presented for a class of nonlinear Networked Control Systems (NCSs) with Markov transfer delays. Firstly, based on Euler approximate method, a nonlinear NCS model with uncertainty is proposed using the Takagi-Sugeno (T-S) fuzzy model. Some geometric conditions are given to transfer the NCS model into an output-feedback form. Then, the ${H}_{\infty }$ FD observer is designed such that the estimation error (residual) converges to zero, if there exist no fault and uncertainty in the system, or the residual is minimized in the sense of ${H}_{\infty }$ norm, when system contains faults and uncertainties. Furthermore, to simplify the model, the approximate model without uncertainty is considered. Then, sufficient conditions for the existence of FD observer gain and the sampling time of NCSs are given to achieve the semiglobal practical property. An inverted pendulum example is used to illustrate the efficiency of the developed techniques.
##### MSC:
 93C42 Fuzzy control systems 93C10 Nonlinear control systems 93C41 Control problems with incomplete information 93C15 Control systems governed by ODE