Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach

H. K. Lam; Hung Fat Frank Leung; P. K S Tam

Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach

H. K. Lam, Hung Fat Frank Leung, P. K S Tam

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (Linear Matrix Inequality) problem. The linear controller can be designed by solving the LMIs. To illustrate the merits and the design procedure of the proposed linear controller, an application example on stabilizing an inverted pendulum on a cart with unknown parameters is given.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Pages	1012-1015
Number of pages	4
Publication status	Published - 1 Dec 2001
Event	10th IEEE International Conference on Fuzzy Systems - Melbourne, Australia Duration: 2 Dec 2001 → 5 Dec 2001

Conference

Conference	10th IEEE International Conference on Fuzzy Systems
Country/Territory	Australia
City	Melbourne
Period	2/12/01 → 5/12/01

ASJC Scopus subject areas

Software
Safety, Risk, Reliability and Quality
Chemical Health and Safety

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http://hdl.handle.net/10397/1412

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title = "Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach",

abstract = "This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (Linear Matrix Inequality) problem. The linear controller can be designed by solving the LMIs. To illustrate the merits and the design procedure of the proposed linear controller, an application example on stabilizing an inverted pendulum on a cart with unknown parameters is given.",

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Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach. / Lam, H. K.; Leung, Hung Fat Frank; Tam, P. K S.
IEEE International Conference on Fuzzy Systems. 2001. p. 1012-1015.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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AB - This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (Linear Matrix Inequality) problem. The linear controller can be designed by solving the LMIs. To illustrate the merits and the design procedure of the proposed linear controller, an application example on stabilizing an inverted pendulum on a cart with unknown parameters is given.

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Linear controllers for fuzzy systems subject to unknown parameters: Stability analysis and design based on linear matrix inequality (LMI) approach

Abstract

Conference

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