Observer-Based Finite-Time Adaptive Fuzzy Control for Nontriangular Nonlinear Systems With Full-State Constraints.
IEEE Transactions on Cybernetics
|May 2, 2020
Summary
This study introduces finite-time adaptive fuzzy control for nonlinear systems with unmeasurable states and constraints. The method ensures system stability and accurate tracking within a limited time.
Area of Science:
- Control Engineering
- Nonlinear Systems Theory
- Fuzzy Logic Systems
Background:
- Nontriangular nonlinear systems present challenges due to unmeasurable states and full-state constraints.
- Traditional control methods struggle with algebraic loops and complexity explosion in such systems.
Purpose of the Study:
- To develop a finite-time adaptive fuzzy output-feedback control strategy.
- To address full-state constraints and unmeasurable states in nontriangular nonlinear systems.
Main Methods:
- Fuzzy-logic systems and fuzzy state observers for approximation and estimation.
- Variable separation approach to resolve algebraic loops.
- Barrier Lyapunov functions and dynamic surface technique for constraint satisfaction and complexity management.
Main Results:
- Guaranteed boundedness of all closed-loop system signals.
- Finite-time convergence of tracking error to a small neighborhood of the origin.
- Ensured all states remain within predefined sets.
Conclusions:
- The proposed adaptive fuzzy control design effectively manages nonlinear systems with constraints and unmeasurable states.
- Simulation results validate the finite-time stability and performance of the control strategy.
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