Fuzzy adaptive two‐bits‐triggered control for nonlinear uncertain system with input saturation and output constraint

• Published in: International journal of adaptive control and signal processing Vol. 34; no. 4; pp. 543 - 559
• Main Authors: Chen, Zicong, Wang, Jianhui, Ma, Kemao, Huang, Xing, Wang, Tao
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.04.2020
• Subjects: Adaptive control; barrier Lyapunov function (BLF); fuzzy adaptive control; Fuzzy logic; Fuzzy systems; Hyperbolic functions; input saturation; Liapunov functions; Nonlinear control; Nonlinear systems; output constraint; Saturation; Signal processing; Signal transmission; two‐bits‐triggered control
• ISSN: 0890-6327; 1099-1115
• DOI: 10.1002/acs.3098

Summary In this work, a fuzzy adaptive two‐bits‐triggered control is investigated for the nonlinear uncertain systems with input saturation and output constraint. The considered systems are more widespread. Without sufficient transmission resources, how to resolve the constraint issues while guarantee the control performance is difficult and challenging. Then, hyperbolic tangent function and barrier Lyapunov function are integrated with the designed auxiliary system to solve input saturation and output constraint. Meanwhile, faced with the transmission resources limitation, this work both considers the triggering condition and the control signal transmission bits. A two‐bits‐triggered control is proposed to economize the transmission resources. Furthermore, improved fuzzy logic systems are established to further promote the control performance. It combines with the time‐varying approximation error for processing. The boundedness of all the system signals can be proved. Simulation results illustrate the validity of the proposed approach.