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H(infinity) control of uncertain dynamical fuzzy discrete-time systems
Summary
A novel dynamical fuzzy model addresses complex systems with linguistic data and uncertainties. This research introduces a new stability analysis and control design, including an H-infinity feedback control algorithm.
Area of Science:
- Control Engineering
- Fuzzy Systems
- Complex Systems Analysis
Background:
- Discrete-time complex systems often involve both linguistic information and inherent uncertainties.
- Existing models may not adequately capture these dual characteristics, limiting their applicability.
- Robust analysis and control design are crucial for reliable system operation.
Purpose of the Study:
- To propose a new dynamical fuzzy model capable of representing discrete-time complex systems with linguistic information and uncertainties.
- To develop a novel approach for stability analysis and control system design tailored to this new model.
- To present a constructive algorithm for obtaining the H-infinity feedback control law.
Main Methods:
- Development of a novel dynamical fuzzy model incorporating linguistic variables and uncertainty representation.
- Formulation of a stability analysis framework for the proposed fuzzy model.
- Design of a control system using a constructive algorithm to derive the H-infinity feedback control law.
Main Results:
- Successful proposal of a new dynamical fuzzy model for complex systems.
- Establishment of a robust stability analysis and control design methodology.
- Demonstration of the method's applicability through a relevant example.
Conclusions:
- The proposed dynamical fuzzy model effectively represents discrete-time complex systems with linguistic information and uncertainties.
- The developed stability analysis and control design approach provide a viable method for system stabilization.
- The constructive algorithm offers a practical way to obtain the H-infinity feedback control, validated by an example.
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