Less conservative output-feedback tracking control design for polynomial fuzzy systems

• Published in: IET control theory & applications Vol. 12; no. 13; pp. 1843 - 1852
• Main Authors: Pakkhesal, Sajjad, Mohammadzaman, Iman
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 04.09.2018
• Subjects: control system synthesis; feedback; fuzzy systems; H∞ control; H∞ performance; less conservative output‐feedback tracking control design; Lyapunov matrix; Lyapunov matrix equations; mathematical programming; nonlinear control systems; polynomial‐fuzzy‐model‐based systems; Research Article; semidefinite programming; stability criteria; sum‐of‐squares optimisation; less conservative output-feedback tracking control design; control system synthesis; stability criteria; mathematical programming; feedback; sum-of-squares optimisation; semidefinite programming; Lyapunov matrix; polynomial-fuzzy-model-based systems; H∞ control; nonlinear control systems; Lyapunov matrix equations; H∞ performance; fuzzy systems
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2017.1271

In this study, the problem of output-feedback tracking control for polynomial-fuzzy-model-based systems is studied. In this problem, the objective is to drive the system states of a non-linear plant to follow the states of a given reference model using a fuzzy controller. The design problem is formulated as a sum-of-squares (SOS) optimisation, which can be solved efficiently using semidefinite programming. Here, unlike previous SOS-based tracking control approaches, Lyapunov matrix depends on all of the system states, which decreases the conservatism of the stability criteria. Moreover, the SOS conditions are derived to guarantee the system stability subject to a given H∞ performance. Two simulation examples are given to demonstrate the effectiveness and benefits of the proposed method.