Delay-dependent robust H infinity control for a class of uncertain switched systems with time delay

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Analysis
• Robust Control Theory

Background:

• Linear switched systems are prone to parameter uncertainties and time delays, complicating control design.
• Conventional controllers may not adequately address these combined uncertainties, leading to suboptimal performance.
• Robust control is essential for maintaining system stability and performance under disturbances.

Purpose of the Study:

• To formulate a delay-dependent sufficient condition for a robust H infinity feedback controller.
• To design a controller that utilizes delayed state information for enhanced performance.
• To extend the design methodology for scenarios with only delayed state availability.

Main Methods:

• Formulation of nonlinear matrix inequalities for controller existence.
• Utilization of a linear matrix inequality (LMI)-based iterative algorithm for solvability.
• Development of a robust H infinity feedback control strategy incorporating delayed states.

Main Results:

• A novel robust H infinity feedback controller was successfully designed for linear switched systems with uncertainties and time delays.
• The proposed controller demonstrated superior robust control performance compared to conventional state-feedback controllers.
• The controller's parameters were shown to adapt synchronously with the system's dynamic characteristics.

Conclusions:

• The developed controller effectively handles parameter uncertainties and time delays in linear switched systems.
• The incorporation of delayed state feedback significantly enhances robust control performance.
• The design methodology is applicable even when only delayed state information is available, showcasing its versatility.