Robust non-fragile hybrid control for delayed uncertain singular impulsive jump systems based on improved impulse...

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Systems Theory

Background:

• Delayed uncertain singular impulsive jump systems (USIMJSs) present significant control challenges.
• Existing control methods often struggle with gain uncertainties and external disturbances.

Purpose of the Study:

• To design robust non-fragile hybrid state feedback controllers for USIMJSs.
• To ensure controllers are insensitive to controller gain uncertainties and provide tuning margins.

Main Methods:

• Development of non-fragile normal and impulsive state feedback controllers.
• Construction of an improved impulse-time-dependent Lyapunov-Krasovskii functional.
• Utilization of linear matrix inequalities (LMIs) for robust admissibilization criteria.

Main Results:

• Novel criteria for robust admissibilization of delayed USIMJSs were derived.
• The designed controllers effectively handle internal impulses, external disturbances, and Markovian mode switching.
• The controllers demonstrated robustness against controller gain uncertainties.

Conclusions:

• The proposed non-fragile hybrid control strategy is effective for delayed USIMJSs.
• Simulation results confirm the method's validity using benchmark systems like inverted pendulums and active suspension models.