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H(infinity) output tracking control for nonlinear systems via T-S fuzzy model approach
Summary
This study presents a new method for H(infinity) output tracking control in nonlinear time-delay systems using Takagi-Sugeno fuzzy models. The approach ensures system stability and effective tracking performance through an LMI-based design.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Nonlinear System Analysis
Background:
- Nonlinear time-delay systems present significant control challenges.
- Achieving robust H(infinity) output tracking is crucial for many applications.
- Existing methods may not adequately address the complexities of these systems.
Purpose of the Study:
- To develop an H(infinity) output tracking control strategy for nonlinear time-delay systems.
- To utilize the Takagi-Sugeno (T-S) fuzzy model approach for system representation.
- To propose a design method ensuring stability and performance.
Main Methods:
- Employing Takagi-Sugeno (T-S) fuzzy models to represent nonlinear time-delay systems.
- Developing a linear matrix inequality (LMI)-based control design.
- Utilizing H(infinity) control theory for performance guarantees.
Main Results:
- An effective LMI-based design method for H(infinity) output tracking control is proposed.
- The method is shown to be effective for nonlinear time-delay systems.
- Illustrative examples demonstrate the successful application of the control strategy.
Conclusions:
- The proposed Takagi-Sugeno fuzzy model-based approach provides a viable solution for H(infinity) output tracking control.
- The LMI-based design ensures robust performance and stability.
- The findings offer a valuable contribution to the field of control engineering for complex systems.
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