Brief paper: Quadratic boundedness via dynamic output feedback for constrained nonlinear systems in Takagi-Sugeno's form

Authors:
Baocang Ding
Affiliations:
Department of Automation, School of Electronic and Information Engineering, Xi'an Jiao Tong University, Xi'an, 710049, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper studies output feedback stabilization of Takagi-Sugeno fuzzy systems with input or state constraint and bounded noise. A dynamic output feedback controller is adopted, rather than a controller based on the state observer. The notion of quadratic boundedness specified by a common Lyapunov matrix, which is novel in fuzzy control, is invoked to handle the noise. Under the proposed controller, the state of the closed-loop system is stabilizing to an ellipsoid specified by this common Lyapunov matrix. Two numerical examples are given to show the effectiveness of the controller.