Local H        ∞ controller design for continuous-time T-S fuzzy systems

Dong Hwan Lee; Jin Bae Park; Young Hoon Joo; Sung Kwan Kim

doi:10.1007/s12555-014-0439-z

Local H _∞ controller design for continuous-time T-S fuzzy systems

Dong Hwan Lee, Jin Bae Park, Young Hoon Joo, Sung Kwan Kim

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper addresses local H_∞ controller design problems for continuous-time Takagi–Sugeno (T–S) systems with magnitude- and energy-bounded disturbances. The design procedure is formulated as optimizations subject to linear matrix inequalities (LMIs) which can be solved by means of convex optimization techniques. The designed controllers not only guarantee the H_∞ performance but also ensure the state not to escape an invariant set that is included by the region where the T–S fuzzy model is defined. Finally, an example is given to illustrate the proposed method.

Original language	English
Pages (from-to)	1499-1507
Number of pages	9
Journal	International Journal of Control, Automation and Systems
Volume	13
Issue number	6
DOIs	https://doi.org/10.1007/s12555-014-0439-z
Publication status	Published - 2015 Dec 1

Bibliographical note

Publisher Copyright:
© 2015, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg.

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications

Access to Document

10.1007/s12555-014-0439-z

Cite this

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AU - Joo, Young Hoon

AU - Kim, Sung Kwan

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AB - This paper addresses local H∞ controller design problems for continuous-time Takagi–Sugeno (T–S) systems with magnitude- and energy-bounded disturbances. The design procedure is formulated as optimizations subject to linear matrix inequalities (LMIs) which can be solved by means of convex optimization techniques. The designed controllers not only guarantee the H∞ performance but also ensure the state not to escape an invariant set that is included by the region where the T–S fuzzy model is defined. Finally, an example is given to illustrate the proposed method.

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