NDLI: LMI-based design of T-S fuzzy controllers using fuzzy estimator

Content Provider	IEEE Xplore Digital Library
Author	Kwangtae Kim Joogseon Joh Langari, R. Woohyen Kwon
Copyright Year	1999
Description	Author affiliation: Doowon Tech. Coll., South Korea (Kwangtae Kim)
Abstract	In this paper we present a systematic design method for PDC (parallel distributed compensation)-type Takagi-Sugeno (T-S) fuzzy control systems which have inaccessible states. Fuzzy state estimator is introduced from existing T-S fuzzy model using the PDC structure of Wang et al. (1995). LMI (linear matrix inequalities) problems which represent the stability of the fuzzy state estimator are derived. Joh et al.'s pole placement constraints idea (1997) for each rules is adopted to determine the estimator gains and they are also revealed as LMI problems. These LMI problems are combined with Joh et al.'s LMI problems for PDC-type T-S fuzzy controller design to yield a systematic design method for PDC-type T-S fuzzy control systems which have inaccessible states. It is proved that the well-known separation property holds. Therefore, feedback control gains and fuzzy state estimator gains can be determined separately. The design method is verified by designing a PDC-type T-S fuzzy controller for an inverted pendulum with a cart.
Starting Page	4343
Ending Page	4348
File Size	486325
Page Count	6
File Format	PDF
ISBN	0780352505
ISSN	01912216
DOI	10.1109/CDC.1999.833225
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-12-07
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy control Design methodology State estimation Takagi-Sugeno model Linear matrix inequalities Stability State feedback Fuzzy systems Control systems Feedback control
Content Type	Text
Resource Type	Article

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