Active fault tolerant control of piecewise affine systems with reference tracking and input constraints

Gholami, Mahdi; Cocquempot, Vincent; Schiøler, Henrik; Bak, Thomas

doi:10.1002/acs.2441

Cited by 7 publications

(3 citation statements)

References 30 publications

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“…In addition to their capability in modeling non-smooth dynamics, they can also be used as a model for nonlinear (smooth) systems by using hybridization methods such as those in [2][3][4][5]. Various analysis and control problems, such as model reduction [6,7], controllability and observability [8], identification [9][10][11], fault detection and estimation, tracking, stabilization, and control [12][13][14][15][16], [17,Chapters 4 and 5], have been studied for the class of PWA systems. The vast literature on PWA systems is primarily motivated by their significant modeling capabilities, but also by the fact that their description via affine equations and constraints can simplify analysis and design.…”

Section: Introductionmentioning

confidence: 99%

Set-based control for disturbed piecewise affine systems with state and actuation constraints

Schürmann

Vignali

Prandini

et al. 2020

Nonlinear Analysis: Hybrid Systems

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We address the finite horizon control of a discrete time piecewise affine (PWA) system, which is affected by an additive bounded disturbance. The goal is to robustly drive the state of the system to some target region, while satisfying state and actuation constraints. This problem is challenging due to the mixed discrete and continuous dynamics, requiring the exploration of many mode sequences. We address this problem by proposing a two-step approach which is based on designing a reference trajectory followed by a feedback controller that tries to make all solutions adhere to the reference mode sequence. As a result, the number of considered mode sequences can be drastically reduced. Termination is guaranteed since the time horizon and the number of modes are finite. Key to the computational efficiency of this procedure is the choice of the reference trajectory, which should be designed to avoid the branching of mode sequences from the reference sequence. The resulting set-based feedback control law is simple and easy to implement. Due to the use of reachability analysis, our results are formally correct. A quadrupletank benchmark example shows the effectiveness of our approach.

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Section: Introductionmentioning

confidence: 99%

Set-based control for disturbed piecewise affine systems with state and actuation constraints

Schürmann

Vignali

Prandini

et al. 2020

Nonlinear Analysis: Hybrid Systems

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“…It is able to deal with unforeseen faults and has the potential to achieve optimal performance for 2 Journal of Control Science and Engineering different system operating scenarios. Compared to PFTC, the AFTC method has a better overall performance and is more flexible in design, so it is used more widely [12][13][14][15][16]. In AFTC, the model-based method, the knowledge-based method, the data-based method, and other methods can be adopted [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Active Fault Tolerant Control Based on a Novel Tracking Differentiator for Elevating Stage Control System

Mao¹,

Li²,

Feng³

2018

Journal of Control Science and Engineering

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In view of the speed sensor faults in elevating stage control system, an active fault tolerant control approach based on a novel tracking differentiator is proposed in this paper. First, the analytical redundancy relationship between the velocity and displacement signals in a dual closed loop control system is used to detect a fault. When the deviation between the differential of normal displacement sensor signal and the fault speed sensor output exceeds a certain threshold value, a fault can be considered to occur. Secondly, after a fault is detected, the output of the fault sensor is replaced immediately with the differential signal of the output from a normal sensor to ensure the safety of the postfault system. In the process of signal differential, considering the drawbacks of the traditional method which uses inertial element to approximate differentiator and complex parameter tuning of Han's Tracking Differentiator (TD), a novel tracking differentiator based on hyperbolic tangent function (Tanh-TD) is designed. Thirdly, in order to avoid the switching vibration and improve the reliability of FDD, a continuous smooth switching tactic based on exponential function is constructed. The simulation results show that the fault diagnosis method is simple and timely, the designed tracking differentiator is fast and effective, and the effect of the fault tolerant control based on smooth switching strategy is also satisfactory.

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“…However, several aircraft have experienced major control system failures during recent years. Fault‐tolerant control (FTC) is viewed as one of the most effective methods to improve the safety and reliability of the flight control systems, which have become attractive topics and have recently drawn considerable attention . Depending on how redundancies are utilized, current FTC can be classified into two categories, namely, passive FTC and active FTC .…”

Section: Introductionmentioning

confidence: 99%

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

Qian

Yang

2016

Optim. Control Appl. Meth.

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SUMMARYThis paper addresses an issue on reduced-order observer-based robust fault estimation and fault-tolerant control for a class of uncertain nonlinear discrete-time systems. By introducing a nonsingular coordinate transformation, a new nonlinear reduced-order fault estimation observer (RFEO) is proposed with a wide application range in order to achieve an accurate estimation of both states and faults. Next, an improved algorithm is given to obtain the optimal estimation by using a novel iterative linear matrix inequality technique. Furthermore, an RFEO-based output feedback fault-tolerant controller, which is independent of the RFEO, can maintain the stability and performance of the faulty system. Simulation results of an aircraft application show the effectiveness of the proposed method.

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Active fault tolerant control of piecewise affine systems with reference tracking and input constraints

Cited by 7 publications

References 30 publications

Set-based control for disturbed piecewise affine systems with state and actuation constraints

Set-based control for disturbed piecewise affine systems with state and actuation constraints

Active Fault Tolerant Control Based on a Novel Tracking Differentiator for Elevating Stage Control System

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

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