Adaptive fault-tolerant stabilization for nonlinear systems with Markovian jumping actuator failures and stochastic noises

Fan, Huijin; Liu, Bing; Wang, Wei; Chen, Wen

doi:10.1016/j.automatica.2014.10.084

Cited by 50 publications

(26 citation statements)

References 27 publications

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“…It should be pointed out that these uncertain systems involved in actuator failures are linear. Furthermore, robust adaptive fault-tolerant control problems for the nonlinear systems were considered in the references [6][7][8][9]. Besides, as common tools to deal with nonlinear systems, neural networks (NNs) and fuzzy logic systems (FLSs) have been widely applied to the adaptive control design [10][11][12][13][14][15][16][17] because of their universal approximation properties and adaption abilities.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fault-tolerant control of a class of nonaffine nonlinear systems with mismatched parameter uncertainties and disturbances

Yang

2015

Nonlinear Dyn

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This paper studies the problem of robust adaptive fuzzy fault-tolerant tracking control for a class of nonaffine nonlinear systems with mismatched parameter uncertainties, external disturbances and actuator faults. Without using complicated backstepping technique, a direct adaptive fuzzy tracking control approach is used to achieve the fault-tolerant control objective. First, to overcome the obstacle for the nonaffine nonlinear term with actuator faults, a nonaffine compensation term is constructed to eliminate the effect of the nonaffine fault parameters. Then, based on the implicit function theorem and the mean value theorem, a novel design scheme that converts the nonaffine system into the corresponding affine system is developed, and two effective fuzzy logic systems, which are introduced to approximate the appropriate nonlinear functions, are constructed to compensate the effect on mismatched parameter uncertainty and disturbance, respectively.

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Section: Introductionmentioning

confidence: 99%

Adaptive fault-tolerant control of a class of nonaffine nonlinear systems with mismatched parameter uncertainties and disturbances

Yang

2015

Nonlinear Dyn

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“…Fault tolerant control (FTC) schemes are designed to guarantee overall systems stability and acceptable performance in the presence of faults. This general problem is an active area of control systems research with recent work including [16,17,18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Parameter‐dependent Lyapunov function‐based robust iterative learning control for discrete systems with actuator faults

Ding

Cichy

Gałkowski

et al. 2016

Adaptive Control & Signal

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SUMMARYThis paper considers iterative learning control for a class of uncertain multiple-input multiple-output discrete linear systems with polytopic uncertainties and actuator faults. The stability theory for linear repetitive processes is used to develop control law design algorithms that can be computed using linear matrix inequalities. A class of parameter dependent Lyapunov functions are used with the aim of enlarging the allowed polytopic uncertainty range for successful design. The effectiveness and feasibility of the new design algorithms is illustrated by a gantry robot case study.

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“…Because of two kinds of mechanisms contained, it is very suitable to model such actual systems whose structures or parameters change [1,2]. Over the past years, many research topics on MJSs have been extensively studied, like stability analysis [3][4][5][6], stabilization [7][8][9][10][11], robust control [12][13][14][15], adaptive control [16][17][18][19], ∞ filtering and control [20,21], state estimation [22][23][24][25], synchronization [26][27][28][29][30], and so on.…”

Section: Introductionmentioning

confidence: 99%

Observer Design for Delayed Markovian Jump Systems with Output State Saturation

Wang

Feng

2018

Mathematical Problems in Engineering

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This paper considers the observer design problem of continuous-time delayed Markovian jump systems with output state saturation. Different from the traditionally observer-based saturation control methods, a kind of system output state saturation with a partially delay-dependent property is proposed, where both nondelay and delay states exist at the same time but happen asynchronously. By exploiting the Bernoulli variable, the probability distributions of such two states are described and considered in the observer design. Based on an improved equality applied to deal with saturation terms, sufficient conditions for the designed observer with three kinds of output saturations are all provided with LMI forms. Finally, a numerical example is given to indicate the effectiveness of the obtained results.

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Adaptive fault-tolerant stabilization for nonlinear systems with Markovian jumping actuator failures and stochastic noises

Cited by 50 publications

References 27 publications

Adaptive fault-tolerant control of a class of nonaffine nonlinear systems with mismatched parameter uncertainties and disturbances

Adaptive fault-tolerant control of a class of nonaffine nonlinear systems with mismatched parameter uncertainties and disturbances

Parameter‐dependent Lyapunov function‐based robust iterative learning control for discrete systems with actuator faults

Observer Design for Delayed Markovian Jump Systems with Output State Saturation

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