LMI-based design of T-S fuzzy controllers using fuzzy estimator Conference Paper

abstract

• In this paper we present a systematic design method for PDC (Parallel Distributed Compensation)-type Takagi-Sugeno 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.. LMI (Linear Matrix Inequalities) problems which represent the stability of the fuzzy state estimator are derived. Joh et al.'s pole placement constraints idea 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.

authors

• Langari, Gholamreza

published proceedings

• Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

• Kim, K., Joh, J., Langari, R., & Kwon, W.

complete list of authors

• Kim, K||Joh, J||Langari, R||Kwon, W

publication date

• December 1999

published in

• IEEE Conference on Decision and Control  Journal

start page

• 4343

end page

• 4348

volume

• 5