Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 26, Issue 6, Pages 3301-3313Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2018.2821654
Keywords
Convex optimization; finite frequency H-infinity performance; memory control; output feedback control; Takagi-Sugeno (T-S) fuzzy systems
Funding
- Research Grants Council of Hong Kong [CityU-11261516]
- National Natural Science Foundation of China [61522306]
- State Key Laboratory of Robotics and Systems of Harbin Institute of Technology
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In this paper, we will investigate the problem of finite frequency memory fixed-order output feedback controller design for Takagi-Sugeno (T-S) fuzzy affine systems. It is assumed that the disturbances reside in a finite frequency range, i.e., the low, middle, or high frequency range. The objective is to design a memory piecewise affine (PWA) controller by using past output measurements to guarantee the asymptotic stability of the resulting closed-loop system with a prescribed finite frequency H-infinity performance. Via the system state-input augmentation, a novel descriptor system approach is proposed to facilitate the controller design. All the design conditions are formulated in the form of linear matrix inequalities. It is also proven that the H-infinity performance can be improved with the memory control strategy. Finally, simulation studies are presented to show the effectiveness of the proposed design method.
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