Adaptive fuzzy prescribed performance control for MIMO nonlinear systems with unknown control direction and unknown...

Area of Science:

• Control Theory
• Nonlinear Systems
• Fuzzy Logic

Background:

• Uncertain multi-input and multi-output (MIMO) nonlinear systems present significant control challenges.
• Unknown control direction and dead-zone inputs further complicate controller design.

Purpose of the Study:

• To develop an adaptive fuzzy prescribed performance control approach for uncertain MIMO nonlinear systems.
• To address challenges posed by unknown control direction and dead-zone inputs.

Main Methods:

• Utilized properties of symmetric matrices for controller design.
• Incorporated a Nussbaum-type function to estimate unknown control direction.
• Developed an adaptive fuzzy prescribed performance controller.

Main Results:

• The controller does not require prior knowledge of control direction.
• Only three parameters require online updates for MIMO systems.
• All signals in the closed-loop system are proven to be bounded.
• Tracking errors converge to a small residual set within prescribed performance bounds.

Conclusions:

• The proposed adaptive fuzzy control approach effectively manages uncertain MIMO nonlinear systems.
• The method demonstrates robustness against unknown control direction and dead-zone inputs.
• Simulation results validate the effectiveness and prescribed performance of the developed controller.