Abstract
For the conservatism issue of state-feedback control for Takagi-Sugeno (T-S) fuzzy systems, a novel local controller design method and stability analysis approach are proposed in this article. First, based on a membership function piecewise linearization technique, a local linear controller is proposed to form a closed-loop system. Then, a series of system stability conditions are derived using quadratic and piecewise function approaches. Further, with a designed fuzzy local controller and fuzzy Lyapunov function, less conservative stability conditions are obtained. Finally, a simulation example is adopted to make comparisons with existing and proposed methods. The results clearly show the conservatism reduction and excellent performance of the proposed approach.
Original language | English |
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Journal | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
DOIs | |
Publication status | Accepted/In press - 2020 |
Keywords
- Automation
- Closed loop systems
- Conservatism
- Cybernetics
- Fuzzy systems
- Lyapunov methods
- membership function (MF)
- Piecewise linear approximation
- Stability analysis
- state feedback
- Takagi-Sugeno (T-S) fuzzy system
ASJC Scopus subject areas
- Software
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Electrical and Electronic Engineering