Mixed [Formula Omitted] Fuzzy Control Plus Mobile Actuator/Sensor Guidance for Semilinear Parabolic Distributed Parameter Systems

• Published in: IEEE transactions on fuzzy systems Vol. 29; no. 7; p. 1874
• Main Authors: Xiao-Wei, Zhang, Wu, Huai-Ning, Jun-Wei, Wang
• Format: Journal Article
• Language: English
• Published: New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.07.2021
• Subjects: Actuators; Attenuation; Distributed parameter systems; Feedback control; Fuzzy control; Guidance (motion); Linear matrix inequalities; Mathematical models; Optimization; Optimization techniques; Sensors; Transient response; Upper bounds
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2020.2988844

This article addresses the issue of fuzzy control design subject to a mixed [Formula Omitted] performance constraint and guidance law design for semilinear parabolic distributed parameter systems (DPSs) with mobile collocated actuator/sensor pairs. Initially, via the local sector nonlinearity method, a Takagi–Sugeno (T–S) fuzzy model is constructed to accurately describe the spatiotemporal dynamics of the DPSs. Then, based on the obtained T–S fuzzy model and Lyapunov technique, a membership-function-dependent mixed [Formula Omitted] fuzzy control design is developed and the mobile actuator/sensor guidance laws are also determined simultaneously, such that the resulting closed-loop system is exponentially stable while providing an [Formula Omitted] performance bound under the given [Formula Omitted] performance of disturbance attenuation, and the transient response of closed-loop state is improved. Moreover, a suboptimal mixed [Formula Omitted] fuzzy control design is derived in the sense of minimizing the upper bound of the given [Formula Omitted] performance function by applying the existing linear matrix inequality optimization techniques. At last, some simulation results for a numerical example are presented to verify the proposed method.