2017
DOI: 10.1007/s00034-017-0547-0
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T–S Fuzzy-Affine-Model-Based Reliable Output Feedback Control of Nonlinear Systems with Actuator Faults

Abstract: This article presents a singular approach to the reliable H ∞ static output feedback (SOF) control for continuous-time nonlinear systems with Markovian jumping actuator faults. The nonlinear plants are approximated by a Takagi-Sugeno (T-S) fuzzy-affine (FA) model with parameter uncertainties, and the Markov process is adopted to characterize the actuator-fault phenomenon. Specifically, by utilizing a singular model transformation strategy, the initially constructed closedloop system is firstly converted into a… Show more

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Cited by 13 publications
(6 citation statements)
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“…e range of time-varying delay d(t) satisfies 0.1 ≤ d(t) ≤ 0.6 and _ d(t) ≤ 0.3 for 0 ≤ t ≤ 60. In this paper, the simulation example selects the fault expression f(t) that was used in many classic papers as the potential fault signal [31][32][33][34]. e fault detection graph simulated by this fault expression is not only simple but also clear; we can clearly see whether the fault detection filter is effective or not.…”
Section: Examplementioning
confidence: 99%
See 1 more Smart Citation
“…e range of time-varying delay d(t) satisfies 0.1 ≤ d(t) ≤ 0.6 and _ d(t) ≤ 0.3 for 0 ≤ t ≤ 60. In this paper, the simulation example selects the fault expression f(t) that was used in many classic papers as the potential fault signal [31][32][33][34]. e fault detection graph simulated by this fault expression is not only simple but also clear; we can clearly see whether the fault detection filter is effective or not.…”
Section: Examplementioning
confidence: 99%
“…In order to improve the safety performance of the control systems, when the systems fail, we need to quickly detect the faults and avoid accidents. In order to pursue higher security and reliability, many scholars have studied the fault detection problems of Markovian jump systems [29][30][31]. ese scholars only studied the fault detection problems of the ordinary Markovian jump systems.…”
Section: Introductionmentioning
confidence: 99%
“…10 A nonlinear plant was described by a discrete-time T-S fuzzy affine model with parametric uncertainties. 11 The disadvantage of these methods is that they rely on numerical or measured values to built system models. One of the biggest advantages of fuzzy logic-based algorithms is that it contains the language rules of expert systems and how to design the slip control system together with it.…”
Section: Introductionmentioning
confidence: 99%
“…Based on a fuzzy basis–dependent Lyapunov function, a reliable state-feedback control problem for T-S fuzzy systems with actuator failures and infinite-distributed delay was applied. 32 Wei et al, 33 applied and validated the effectiveness of the robust and reliable H static output feedback control for nonlinear systems, which is characterized by a dicrete-time Takagi–Sugeno fuzzy affine model with parameter uncertainties with actuator faults defined by a Markov chain model. The desired controller parameter can be evaluated in a convex optimization setup.…”
Section: Introductionmentioning
confidence: 99%