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Fuzzy-Affine-Model-Based Sliding-Mode Control for Discrete-Time Nonlinear 2-D Systems via Output Feedback
This study presents a novel output-feedback sliding-mode control (SMC) for nonlinear 2-D Takagi-Sugeno fuzzy systems. The method ensures system stability and robust performance by analyzing sliding dynamics and guaranteeing state convergence.
Area of Science:
- Control Engineering
- Nonlinear Systems Theory
- Fuzzy Logic Systems
Background:
- Nonlinear 2-D systems present unique control challenges.
- Takagi-Sugeno fuzzy-affine models offer a framework for representing complex nonlinearities.
- Output-feedback control is crucial when all system states are not directly measurable.
Purpose of the Study:
- To develop an output-feedback sliding-mode control (SMC) strategy for nonlinear 2-D Takagi-Sugeno fuzzy-affine systems.
- To analyze the stability and robust performance of the sliding motion.
- To design a dynamic SMC approach ensuring system state convergence.
Main Methods:
- Formulating sliding-mode dynamics as a singular piecewise-affine system.
- Utilizing piecewise quadratic Lyapunov functions for stability analysis.
- Developing an output-feedback dynamic SMC controller.
Main Results:
- The proposed method successfully depicts sliding-mode dynamics.
- New criteria for stability and robust performance analysis of the sliding motion are established.
- The designed output-feedback dynamic SMC guarantees convergence of system states to a neighborhood of the sliding surface.
Conclusions:
- The developed output-feedback SMC scheme is effective for nonlinear 2-D Takagi-Sugeno fuzzy-affine systems.
- The approach provides a robust method for controlling systems with unmeasured states.
- Simulation results validate the efficacy of the proposed control strategy.
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