T-S Fuzzy-Model-Based Output Feedback Tracking Control With Control Input Saturation

• Published in: IEEE transactions on fuzzy systems Vol. 26; no. 6; pp. 3514 - 3523
• Main Authors: Yu, Yan, Lam, Hak-Keung, Chan, Kit Yan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <inline-formula 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"> <tex-math notation="LaTeX"> H_\infty</tex-math> </inline-formula> performance; Actuators; Computer simulation; Control input saturation; Control stability; Control systems design; Control theory; Controllers; Feedback loops; Fuzzy control; Fuzzy systems; linear matrix inequalities (LMIs); Lower bounds; Lyapunov methods; Mathematical models; membership function dependent (MFD); Nonlinear control; Nonlinear systems; Nonlinearity; Output feedback; Saturation; Stability analysis; Tracking control; Trajectory
• ISSN: 1063-6706; 1941-0034
• DOI: 10.1109/TFUZZ.2018.2835761

This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to <inline-formula><tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of <inline-formula> <tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance and control input saturation rate according to the tracking result.