Reduced-order observer-based fault estimation and fault-tolerant control for a class of discrete Lipschitz nonlinear systems

Qian, Huaming; Yu, Pei; Yang, Guangyi

doi:10.1002/oca.2235

Cited by 12 publications

(20 citation statements)

References 44 publications

(64 reference statements)

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“…where S T (x n )S (x n ) ≤ 1. Moreover, by invoking the triangle inequalities (16) and (15), it can be obtained thaṫ…”

Section: Adaptive Fault Estimation Fuzzy Observer Designmentioning

confidence: 99%

Observer‐based adaptive fault estimation and fault‐tolerant tracking control for a class of uncertain nonlinear systems

Zhang

2020

IET Control Theory & Appl

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This paper considers the problem of adaptive fault estimation and fault‐tolerant tracking control for a class of uncertain nonlinear systems with model uncertainty and process fault. By utilising the approximation abilities of fuzzy logic systems, a novel fault estimation fuzzy observer is designed to estimate the unmeasured states, nonlinear functions and process fault. Based on backstepping technologies, a adaptive fuzzy fault‐tolerant controller with the adaptive updated laws is established, which can not only ensure the prescribed tracking performances, but also effectively compensate the process fault. It is proved that all the closed‐loop signals of systems are uniformly ultimately bounded and the tracking errors can constrain to the prescribed bounds. Finally, simulation results can verify the efficiency of the proposed approach.

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“…where S T (x n )S (x n ) ≤ 1. Moreover, by invoking the triangle inequalities (16) and (15), it can be obtained thaṫ…”

Section: Adaptive Fault Estimation Fuzzy Observer Designmentioning

confidence: 99%

Observer‐based adaptive fault estimation and fault‐tolerant tracking control for a class of uncertain nonlinear systems

Zhang

2020

IET Control Theory & Appl

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“…How to deal with the preview control problem of these nonlinear systems is a challenging task. Moreover, other complexities like actuator faults [19] and measurement delays [20] can be taken into account in the further studies besides the system uncertainties and the external disturbances. In addition, once the states of system (1) are unavailable, the present control scheme is invalid.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Many physical models can be described by Lipschitz systems, such as robotic manipulator [16] and Chua's circuit [17]. Due to its clear physical meaning, this class of systems has aroused considerable interest [18][19][20]. Meanwhile, the uncertainties and external disturbance frequently appear in control systems, and they can degrade performance of the systems or even lead to instability.…”

Section: Introductionmentioning

confidence: 99%

Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems

Deng

2018

Mathematical Problems in Engineering

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This paper considers the design of the robust preview controller for a class of uncertain discrete-time Lipschitz nonlinear systems. According to the preview control theory, an augmented error system including the tracking error and the known future information on the reference signal is constructed. To avoid static error, a discrete integrator is introduced. Using the linear matrix inequality (LMI) approach, a state feedback controller is developed to guarantee that the closed-loop system of the augmented error system is asymptotically stable with H∞ performance. Based on this, the robust preview tracking controller of the original system is obtained. Finally, two numerical examples are included to show the effectiveness of the proposed controller.

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“…16,25 For the aim of fault diagnosis, there are some methods based on residual generation using state observers or Kalman filters. [26][27][28][29][30] Paying attention to the importance of the fixed-order controllers in industrial applications and due to the potential threats of faults, there are several methods available in the literature for designing fault-tolerant fixed-order controllers 31,32 and fault-tolerant PID controllers. 16,17 Some of these methods rely on transforming the considered problem into a static output feedback problem.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective fault‐tolerant fixed‐order/PID control of multivariable discrete‐time linear systems with unmeasured disturbances

Karimi

Batmani

Khosrowjerdi

2018

Optim Control Appl Methods

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In this paper, a multiobjective fault-tolerant fixed-order output feedback controller design technique is proposed for multivariable discrete-time linear systems with unmeasured disturbances. Initially, a multiobjective fixed-order controller is designed for the system by transforming the problem of tuning the parameters of the controller into a static output feedback problem and solving a mixed H 2 ∕H ∞ optimization problem with bilinear matrix inequalities.Subsequently, the fixed-order controller is used to construct the closed-loop system and an active fault-tolerant control scheme is applied using the input/output data collected from the controlled system. Motivated by its popularity in industry, the proposed method is also used to tune the parameters of proportional-integral-derivative controllers as a special case of structured controllers with the fixed order. Two numerical simulations are provided to demonstrate the design procedure and the flexibility of the proposed technique.

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Reduced-order observer-based fault estimation and fault-tolerant control for a class of discrete Lipschitz nonlinear systems

Cited by 12 publications

References 44 publications

Observer‐based adaptive fault estimation and fault‐tolerant tracking control for a class of uncertain nonlinear systems

Observer‐based adaptive fault estimation and fault‐tolerant tracking control for a class of uncertain nonlinear systems

Robust Preview Control for a Class of Uncertain Discrete-Time Lipschitz Nonlinear Systems

Multiobjective fault‐tolerant fixed‐order/PID control of multivariable discrete‐time linear systems with unmeasured disturbances

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