Local H ^sub [infinity]^ controller design for continuous-time T-S fuzzy systems

This paper addresses local H ^sub ∞^ 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 opt...

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Bibliographic Details
Published in:International journal of control, automation, and systems automation, and systems, 2015-12, Vol.13 (6), p.1499-1507
Main Authors: Lee, Dong Hwan, Park, Jin Bae, Joo, Young Hoon, Kim, Sung Kwan
Format: Article
Language:English
Subjects:
Control systems
Controllers
Design
Design engineering
Disturbances
Fuzzy
Fuzzy logic
Fuzzy set theory
Invariants
Optimization
Optimization techniques
Studies
Systems design
Variables
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Summary:This paper addresses local H ^sub ∞^ 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 ^sub ∞^ 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.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-014-0439-z