Adaptive Fuzzy Output-Feedback Control for Switched Uncertain Nonlinear Systems With Full-State Constraints

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Fuzzy Logic Systems

Background:

• Switched nonlinear systems with full-state constraints present significant control challenges.
• Estimating unmeasured states is crucial for effective control design in such systems.
• Ensuring state variables remain within specified bounds is a key requirement.

Purpose of the Study:

• To develop an adaptive fuzzy tracking control strategy for switched uncertain nonlinear systems with full-state constraints.
• To design an adaptive fuzzy state observer to estimate unmeasured states.
• To guarantee that all system states are confined within their respective constraint sets.

Main Methods:

• Utilizing fuzzy approximation for the design of adaptive observers and controllers.
• Employing tangent barrier Lyapunov functions (BLF-Tans) to enforce state constraints.
• Applying the common Lyapunov function method for stability analysis.

Main Results:

• The proposed adaptive observer successfully estimates unmeasured states.
• The control strategy ensures all system states remain bounded within their constraints.
• Stability analysis confirms the boundedness of all signals in the closed-loop system.

Conclusions:

• The presented adaptive fuzzy tracking control approach is effective for switched nonlinear systems with state constraints.
• The use of BLF-Tans is critical for maintaining states within their bounds.
• Simulation results validate the performance of the proposed control strategy.