Adaptive Reliable $H_\infty $ Control for a Class of T-S Fuzzy Systems With Stochastic Actuator Failures

• Main Authors: Ding Zhai, Xuan Liu, Changjiang Xi, Heng Wang
• Format: Article
• Language: English
• Published: IEEE 2017-01-01
• Series: IEEE Access
• Subjects: Adaptive reliable <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ control; T-S fuzzy systems; actuator failures
• Online Access: https://ieeexplore.ieee.org/document/8078182/

This paper studies the problem of adaptive reliable H control for a class of T-S fuzzy systems with actuator failures. In contrast to work found in the literature, stochastic actuator failures are considered, and stochastic functions are used to denote failure scaling factors. By combining an adaptive method with a switching-type control mechanism, a novel and reliable static output feedback control scheme is developed, where adaptive parameters are updated such that failure effects are compensated effectively. Furthermore, an H_&#x221E; performance index is proposed to attenuate the effects of sensor noises. Finally, a nonlinear massspring-damper example is presented to verify the effectiveness of the method proposed in this paper.