Observer-Based Relaxed H-infinity Control for Fuzzy Systems Using a Multiple Lyapunov Function
SCIE
SCOPUS
- Title
- Observer-Based Relaxed H-infinity Control for Fuzzy Systems Using a Multiple Lyapunov Function
- Authors
- Kim, SH; Park, P
- Date Issued
- 2009-04
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Abstract
- This short paper proposes a method of designing a fuzzy observer-based H-infinity controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To enhance the applicability of the output-feedback controller and improve its performance, this short paper first builds a set of fuzzy control rules with premise variables different from those of the T-S fuzzy system, and sets the overall controller to be dependent on not only the current time but also the one-step-past information on the estimated fuzzy weighting functions. Then, based on the fuzzy control rules, this short paper establishes a less conservative H-infinity stabilization condition incorporated with a multiple Lyapunov function dependent on the estimated fuzzy weighting functions. Through a two-step design procedure, the H-infinity stabilization condition is formulated in terms of parameterized linear matrix equalities (PLMIs), which are reconverted into LMIs with the help of an efficient and effective relaxation scheme.
- Keywords
- Fuzzy weighting-dependent Lyapunov function (FWDLF); H-infinity performance; observer-based fuzzy control; non-parallel distributed compensation (non-PDC) scheme; parameterized linear matrix inequalities (PLMIs); relaxation scheme; OUTPUT-FEEDBACK CONTROL; LMI-BASED DESIGNS; NONLINEAR-SYSTEMS; PERFORMANCE CONDITIONS; STABILITY; STABILIZATION; REGULATORS; FORM
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27664
- DOI
- 10.1109/TFUZZ.2008.2011136
- ISSN
- 1063-6706
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, vol. 17, no. 2, page. 476 - 484, 2009-04
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.