Authors:
Isaac Yaesh
1
and
Uri Shaked
2
Affiliations:
1
IMI Advanced Systems Div., Israel
;
2
Tel Aviv University, Israel
Keyword(s):
Takagi-Sugeno fuzzy systems, Polytopic uncertainties, H∞-optimization, ℓ∞-optimization, S -procedure, Linear
matrix inequalities.
Related
Ontology
Subjects/Areas/Topics:
Artificial Intelligence
;
Computational Intelligence
;
Fuzzy Control
;
Fuzzy Systems
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Nonlinear Signals and Systems
;
Optimization Algorithms
;
Optimization Problems in Signal Processing
;
Signal Processing, Sensors, Systems Modeling and Control
;
Soft Computing
Abstract:
The problem of designing gain-scheduled filters with guaranteed induced ℓ∞ norm for the estimation of the state-vector of finite dimensional discrete-time parameter-dependent Takagi-Sugeno Fuzzy Systems systems is considered. The design process applies a lemma which was recently derived by the authors of this paper, characterizing the induced ℓ∞ norm by Linear Matrix Inequalities. The suggested filter has been successfully applied to a guidance motivated estimation problem, where it has been compared to an Extended Kalman Filter.