Time-Driven Adaptive Control of Switched Systems With Application to Electro-Hydraulic Unit

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Theory
• Adaptive Control

Background:

• Switched systems present challenges in control due to inherent uncertainties and mode transitions.
• The H-infinity adaptive tracking problem aims to minimize errors under disturbances for uncertain systems.
• Existing methods often struggle with transient behaviors and require subsystem solvability.

Purpose of the Study:

• To develop a novel H-infinity adaptive tracking control strategy for uncertain switched systems.
• To design an adaptive switching controller that guarantees asymptotic tracking error convergence.
• To establish a solvability criterion that does not require individual subsystem solvability.

Main Methods:

• Utilizing a multiple piecewise Lyapunov function framework for controller design.
• Developing a time-driven adaptive switching controller with state-feedback and an adaptive law.
• Introducing a novel time-driven switching signal to manage transient responses and avoid frequent switching.

Main Results:

• The proposed controller ensures asymptotic convergence of tracking error to zero.
• All signals in the error dynamic system are bounded under a specified disturbance attenuation level.
• A solvability criterion is established for the overall system, irrespective of individual subsystem solvability.

Conclusions:

• The novel time-driven adaptive switching controller effectively addresses the H-infinity adaptive tracking problem in uncertain switched systems.
• The multiple piecewise Lyapunov function framework provides a robust approach to controller design.
• The method's applicability is demonstrated through its successful application to an electro-hydraulic unit.