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Piecewise controller design for affine fuzzy systems via dilated linear matrix inequality characterizations.
1College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China. wanghuimin702@yahoo.cn
ISA Transactions
|July 24, 2012
Summary
This study presents a new method for designing state feedback controllers for nonlinear fuzzy systems. The approach uses linear matrix inequality (LMI) characterizations for improved stability and broader applicability.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Nonlinear System Analysis
Background:
- State feedback controller design is crucial for nonlinear systems.
- Affine fuzzy models offer a framework for representing complex nonlinear dynamics.
- Existing methods often lead to conservative controller designs.
Purpose of the Study:
- To develop a novel state feedback controller design method for continuous-time affine fuzzy systems.
- To reduce conservatism in controller design and expand applicability.
- To extend the methodology to H(∞) state feedback synthesis.
Main Methods:
- A convex piecewise affine controller design is proposed.
- A new dilated linear matrix inequality (LMI) characterization is utilized.
- System and Lyapunov matrices are separated for independent controller parametrization.
Main Results:
- The proposed method offers less conservative LMI characterizations.
- The controller design demonstrates a wider scope of applicability.
- The results are effectively extended to H(∞) state feedback synthesis.
Conclusions:
- The new LMI-based approach provides a more effective controller design for affine fuzzy systems.
- The method enhances stability and performance compared to existing techniques.
- Numerical examples validate the superiority and effectiveness of the proposed approach.
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