Design of a fault-tolerant control scheme for Takagi-Sugeno fuzzy systems

2008 ◽  
Author(s):  
Marcin Witczak ◽  
Lukasz Dziekan ◽  
Vicenc Puig ◽  
Jozef Korbicz
Keyword(s):  
Fuzzy Systems ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Control Scheme ◽  
Takagi Sugeno

A predictive fault-tolerant control scheme for Takagi-Sugeno fuzzy systems*

2011 ◽  
Vol 44 (1) ◽  
pp. 4684-4689 ◽  
Author(s):  
Łukasz Dziekan ◽  
Marcin Witczak ◽  
Józef Korbicz
Keyword(s):  
Fuzzy Systems ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Control Scheme ◽  
Takagi Sugeno

Sliding mode fault-tolerant control for Takagi-Sugeno fuzzy systems with local nonlinear models: Application to inverted pendulum and cart system

2020 ◽  
pp. 014233122094936
Author(s):  
Riadh Hmidi ◽  
Ali Ben Brahim ◽  
Slim Dhahri ◽  
Fayçal Ben Hmida ◽  
Anis Sellami
Keyword(s):  
Fuzzy Systems ◽  
Inverted Pendulum ◽  
Fault Tolerant ◽  
Sliding Mode ◽  
Nonlinear Models ◽  
Fault Tolerant Control ◽  
Simultaneous Occurrence ◽  
Sensor Faults ◽  
Adaptive Sliding Mode ◽  
Takagi Sugeno

This paper proposes fault-tolerant control design for uncertain nonlinear systems described under Takagi-Sugeno fuzzy systems with local nonlinear models that satisfy the Lipschitz condition. First, by transforming sensor faults as ‘pseudo-actuator’ faults, an adaptive sliding mode observer is designed in order to simultaneously estimate system states, actuator and sensor faults despite the presence of norm-bounded uncertainties. Second, an adaptive sliding mode controller is suggested to provide a solution to stabilize the closed-loop system, even in the event of simultaneous occurrence of faults in actuators and sensors. Next, the main objective of the fault-tolerant control strategy is to compensate for the effects of fault based on the feedback information. Therefore, using the LMI optimization method, sufficient conditions are developed with [Formula: see text] to calculate the gains of the observer and the controller. Then, particular attention is paid to the simultaneous maximization, by convex multi-objective optimization, of the Lipschitz nonlinear constant in Takagi-Sugeno fuzzy modelling and uncertainties attenuation level. The results of the simulation illustrate the effectiveness of our fault-tolerant control approach using a nonlinear inverted pendulum with a cart system.

scholarly journals Fault Tolerant Control of Vehicle Lateral Dynamic Using a New Pneumatic Forces Multiple Model

Actuators ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 120
Author(s):  
Imane Abzi ◽  
Mohammed Nabil Kabbaj ◽  
Mohammed Benbrahim
Keyword(s):  
Fault Tolerant ◽  
Longitudinal Velocity ◽  
Fault Tolerant Control ◽  
Small Variation ◽  
Linear Matrix ◽  
Multiple Model ◽  
Control Scheme ◽  
Sufficient Stability ◽  
Vehicle Dynamic Model ◽  
Takagi Sugeno

This paper presents a new accurate multiple model of nonlinear pneumatic lateral forces. The bicycle representation is used in order to build up an easy implemented vehicle dynamic model. Moreover, the Takagi–Sugeno fuzzy approach is applied in order to handle the vehicle model nonlinearities. This structure allows for taking into account the small variation of the vehicle longitudinal velocity. Subsequently, a Fault Tolerant Control strategy that is based on a bank of fuzzy Luenberger observers is proposed. The robustness of the control scheme against external noises is guaranteed by applying H∞ performance. Sufficient stability conditions that are based on Lyapunov method are formulated as Linear Matrix Inequality. Thus, allowing the computation of the observers’ and the controllers’ gains by using MATLAB. Finally, the simulation examples are performed to show the effectiveness of our proposal.

Active fault-tolerant control design for Takagi-Sugeno fuzzy systems

2011 ◽  
Vol 59 (1) ◽  
pp. 93-102 ◽  
Author(s):  
Ł. Dziekan ◽  
M. Witczak ◽  
J. Korbicz
Keyword(s):  
Control Strategy ◽  
Fuzzy Systems ◽  
Active Fault ◽  
Fault Tolerant ◽  
Control Design ◽  
Fault Tolerant Control ◽  
The State ◽  
Fault Identification ◽  
Active Fault Tolerant Control ◽  
Takagi Sugeno

Active fault-tolerant control design for Takagi-Sugeno fuzzy systemsIn this paper, a virtual actuator-based active fault-tolerant control strategy is presented. After a short introduction to Takagi-Sugeno fuzzy systems, it is shown how to design a fault-tolerant control strategy for this particular class of non-linear systems. The key contribution of the proposed approach is an integrated fault-tolerant control design procedure of fault identification and control within an integrated fault-tolerant control scheme. In particular, fault identification is implemented with the suitable state observer. While, the controller is implemented in such a way that the state of the (possibly faulty) system tracks the state of a fault-free reference model. Consequently, the fault-tolerant control stabilizes the possibly faulty system taking into account the input constraints and some control objective function. Finally, the last part of the paper shows a comprehensive case study regarding the application of the proposed strategy to fault-tolerant control of a twin-rotor system.

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