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Nonsynchronized robust filtering design for continuous-time T–S fuzzy affine dynamic systems based on piecewise
IEEE Transactions on Cybernetics
|June 13, 2013
Summary
This study presents a robust H(∞) state estimation method for nonlinear systems using Takagi-Sugeno (T-S) fuzzy models. The approach ensures system stability and disturbance attenuation, even with unmeasurable premise variables.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Nonlinear System Analysis
Background:
- Robust state estimation is crucial for controlling complex nonlinear systems.
- Takagi-Sugeno (T-S) fuzzy models offer a framework for representing nonlinear dynamics.
- Challenges arise from unmeasurable premise variables affecting filter synchronization.
Purpose of the Study:
- To develop a robust H(∞) state estimation method for continuous-time nonlinear systems modeled by T-S fuzzy affine dynamics.
- To design a full-order filter ensuring asymptotic stability and guaranteed H(∞) disturbance attenuation.
- To address filter design challenges when plant premise variables are not measurable.
Main Methods:
- Utilized piecewise quadratic Lyapunov functions for stability analysis.
- Employed the S-procedure and matrix inequality linearization techniques.
- Developed an admissible full-order filter design methodology.
Main Results:
- Achieved asymptotic stability for the filtering error system.
- Guaranteed a specific H(∞) disturbance attenuation level.
- Presented novel results for filtering design in T-S fuzzy affine systems.
Conclusions:
- The proposed methods effectively address robust H(∞) state estimation for T-S fuzzy affine systems.
- The design approach is validated through illustrative examples, demonstrating practical applicability.
- This work contributes to the advancement of state estimation techniques for nonlinear systems.
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