Adaptive decentralised dynamic surface control for non‐linear large‐scale systems against actuator failures

Hashemi, Mahnaz; Askari, Javad; Ghaisari, Jafar

doi:10.1049/iet-cta.2015.0418

Cited by 29 publications

(34 citation statements)

References 54 publications

(106 reference statements)

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“…Nevertheless, the backstepping design procedure suffers from the widely recognized "explosion of complexity" problem arising from the repeated derivations of the virtual controls. [27][28][29][30] Very recently, to deal with the unmodeled dynamics and state constraints, a neural network (NN) DSC approach was proposed for a class of strict-feedback systems in the work of Zhang et al, 31 and later, this method was extended to pure-feedback systems in other work of Zhang et al 32 Xia et al 33 proposed adaptive DSC (ADSC) scheme for stochastic pure-feedback nonlinear systems with state and input unmodeled dynamics. 3 After more than 10 years of development, the DSC design framework has enjoyed widespread applications in various types of dynamical systems, ranging from linear systems, [4][5][6] to strict-/semi-strict feedback uncertain systems, 7-13 to pure-feedback or nonaffine systems, [14][15][16][17][18] to constrained systems, [19][20][21][22] and to many more complex systems such as fault-tolerant systems, 23,24 stochastic systems, 25,26 and large-scale interconnected systems.…”

Section: Introductionmentioning

confidence: 99%

An improved adaptive dynamic surface control approach for uncertain nonlinear systems

Zhang

Duan

Hou

2018

Adaptive Control & Signal

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Dynamic surface control (DSC) was developed to eliminate the "explosion of complexity" problem in backstepping procedure. However, as demonstrated in this paper, the obtained results by the existing DSC technique are somewhat conservative, which may pose difficulties in system debugging for realistic applications. This work addresses a modification that yields an improved adaptive DSC approach for tracking control of a class of semi-strict feedback systems. The new method introduces nonlinear adaptive filters instead of the first-order low pass ones to avoid repeatedly differentiating the virtual control signals. Meanwhile, novel flat zone introduced Lyapunov functions, which have dead zones in the prespecified neighborhood of the origin, are employed to design and analyze the improved robust adaptive control law. As a result, the developed control scheme exhibits three distinct features in comparison with the existing DSC strategy as follows: (1) global rather than semiglobal tracking is achieved even in the presence of nonlinear function nonlinearities; (2) the ultimate tracking accuracy can be exactly known before the controller is implemented; and (3) the ranges of the design parameters to guarantee the closed-loop stability and ultimate tracking accuracy can be completely determined a priori, and the design parameters can be freely chosen from the feasible ranges to improve the control performance. Finally, two examples are presented to confirm the effectiveness of the established approach.

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Section: Introductionmentioning

confidence: 99%

An improved adaptive dynamic surface control approach for uncertain nonlinear systems

Zhang

Duan

Hou

2018

Adaptive Control & Signal

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“…On the other hand, owing to high system complexity and demand for productivity, further attention has been paid to the safety and reliability of these systems. In this case, fault detection and diagnosis (FDD) and fault-tolerant control (FTC) based on analytical redundancy have received significant attention with abundant results [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. However, most of the reported results are for one-dimensional (1-D) systems.…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis and compensation for two‐dimensional discrete time systems with sensor faults and time‐varying delays

Zhao

Shen

Wang

2017

Intl J Robust & Nonlinear

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Summary A fault diagnosis and compensation problem for two‐dimensional discrete time systems with time‐varying state delays is studied in this paper. The concerned two‐dimensional systems are described by the Fornasisi–Marchesini second model and are subject to unknown disturbances. First, a fault detection and diagnosis module is designed to obtain the information on sensor faults; a new fault detection and diagnosis integrated design, using the observer based on descriptor system approach, is proposed to detect and estimate the sensor faults. The integrated design can maximize the fault detection rate for a given false alarm rate. Sufficient conditions for the existence of the integrated fault detection and diagnosis design are derived in the context of norm evaluation and provided in terms of matrix inequalities. Second, a fault‐tolerant control module is proposed upon an existing output feedback controller. When the sensor fault occurs, the faulty measurement can be identified and corrected by the proposed fault detection and diagnosis module. In this case, the feedback controller can guarantee the performance of the closed‐loop system even when encountering sensor faults. Finally, the proposed method is applied to a thermal process to illustrate its effectiveness. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Some common properties of practical actuators, such as unknown nonlinearities [1][2][3], actuator uncertainties [4], unknown failures [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], utility decrements caused by actuator aging [22,23], etc, have great effects on the performance of control systems. The problem of actuator failure obtains much attention in the field of control theory.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, it can also handle system parametric uncertainties. For these reasons, in the context of unknown failure compensation, many schemes based on adaptive approaches have been proposed (see, for example, [7][8][9][10][11][12][13][14][15][16][17] and [19,20]). Initially, adaptive control scheme was proposed to handle unknown actuator failures only for linear systems.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we aim to address such a problem by considering a class of nonlinear systems with unknown parameters. Different from [7][8][9][10][11][12][13][14][15][16][17], the unknown failures of actuators with utility decrements is modeled into a linear parametric function with synthetical time-varying gain i i (t), as shown in (2). Therefore, the traditional method cannot be used in the controller design and stability analyses.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Failure Compensation for Uncertain Systems with Unknown Utility Decrement of Actuators

Cai

Zhang

Xing

et al. 2017

Asian Journal of Control

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Utility decrement caused by actuator aging and unknown failures of actuators is inevitable in practice. However, there is still no result available to compensate for instantaneous failures of actuators with unknown utility decrement. This paper aims at addressing this problem by considering a class of strict‐feedback nonlinear systems. The controller obtained by our proposed control scheme can be divided into two parts. The first one aims to handle the effects of unknown utility decrement, while the second one makes efforts to compensate for the uncertainties caused by unknown failures. Compared with the existing results, the proposed controller is able to compensate not only the uncertainties caused by unknown instantaneous failures but also the time‐varying utility decrement effect of actuators. Moreover, it does not require the prior knowledge about the sign of the constant control gain. In addition, the pre‐estimation functions of time‐varying gain based on the priori knowledge of utility decrements are fully used to improve the performance of the closed‐loop systems. It is shown that the proposed controller can guarantee the boundedness of all closed‐loop signals.

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Adaptive decentralised dynamic surface control for non‐linear large‐scale systems against actuator failures

Cited by 29 publications

References 54 publications

An improved adaptive dynamic surface control approach for uncertain nonlinear systems

An improved adaptive dynamic surface control approach for uncertain nonlinear systems

Fault diagnosis and compensation for two‐dimensional discrete time systems with sensor faults and time‐varying delays

Adaptive Failure Compensation for Uncertain Systems with Unknown Utility Decrement of Actuators

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