Robust H∞ Adaptive Sliding Mode Fault Tolerant Control for T-S Fuzzy Fractional Order Systems With Mismatched Disturbances

Author(s):  
Xuefeng Zhang ◽  
Wenkai Huang ◽  
Qing-Guo Wang
2021 ◽  
pp. 107754632098018
Author(s):  
Xuefeng Zhang ◽  
Wenkai Huang

This article proposes an integral sliding mode control scheme for a class of uncertain nonlinear singular fractional-order systems subject to actuator faults. The interval type-2 Takagi–Sugeno model is used to represent the singular fractional-order systems. First, a novel integral sliding surface is constructed. A sufficient condition is given in terms of linear matrix inequalities which guarantees the admissibility and the robustness of the singular fractional-order systems against actuator faults. Then, aiming at the fault information which is difficult to get in the practical application, an adaptive estimation of fault information is proposed to update the sliding mode controller. A sliding mode fault tolerant control law is designed to make the singular fractional-order systems reach the sliding surface in a finite time. At last, the applicability and effectiveness of the proposed method is illustrated by a numerical simulation example.


2018 ◽  
Vol 22 (2) ◽  
pp. 788-802
Author(s):  
Ledi Zhang ◽  
Shousheng Xie ◽  
Yu Zhang ◽  
Litong Ren ◽  
Bin Zhou ◽  
...  

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Liang Zheng ◽  
Xuelian Dong ◽  
Qian Luo ◽  
Menglan Zeng ◽  
Xinping Yang ◽  
...  

In this paper, an adaptive sliding mode fault tolerant control (ASMFTC) approach is proposed for a class of nonlinear systems with actuator fault, uncertainty, and external disturbance. Specifically, first, a novel observer is proposed to estimate the state, actuator fault, and external disturbance. Then, by utilising the observed information, a novel output sliding mode observer is constructed. In the control method, an adaptive law and two compensators are designed to attenuate the unknown estimation errors, actuator fault, and disturbance. Furthermore, the reaching ability of the sliding motion is analysed and the H-infinite performance is introduced to ensure the robustness of the system. Finally, a flexible single joint manipulator system and a two-cart system are used to verify the effectiveness of the proposed method.


Author(s):  
Riadh Hmidi ◽  
Ali Ben Brahim ◽  
Slim Dhahri ◽  
Fayçal Ben Hmida ◽  
Anis Sellami

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.


2012 ◽  
Vol 503-504 ◽  
pp. 1647-1650
Author(s):  
Sheng Qi Sun ◽  
Xue Bin Li

In this paper, an adaptive sliding model design method is proposed to deal with the asymptotic stabilization problem for a class of fault-tolerant control systems with sensor failures and state time-delays. The considered faults on sensors are assumed to be unknown but depended on the system states without breaching the practical case, while the effects of time delays are also related to the states. For the sake of eliminating the effects of sensor faults and delays, an adaptive sliding mode controller is developed by using the fault signals transmitted by sensors with adjusting some adaptive estimations. Then the asymptotic stability results are ensured by using the proposed static output feedback controller via Lyapunov stability theory. The proposed design technique is finally evaluated in the light of a simulation example.


Sign in / Sign up

Export Citation Format

Share Document