Adaptive safety critical compensation control for nonlinear jump systems with its application.

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Theory
• Stochastic Systems

Background:

• Nonlinear Markovian jump systems (NMJSs) present challenges in adaptive safety-critical tracking control.
• Existing compensation schemes often fail to address combined faults, disturbances, and limited measurement conditions.

Purpose of the Study:

• To develop an event-observer-based compensation strategy for NMJSs.
• To address actuator faults, lumped disturbances, nonlinear uncertainties, and limited computation resources.
• To improve system safety and tracking performance under complex conditions.

Main Methods:

• An integrated dynamic event-based state observer was constructed to handle limited measurable variables.
• A high-order lumped disturbance observer was established using state estimation error.
• An event-observer-based controller incorporating an observer-aided sliding mode surface was designed.
• Novel dynamic and multi-choice trigger schemes were proposed for communication efficiency.

Main Results:

• The proposed strategy effectively compensates for combined faults and disturbances in NMJSs.
• The integrated observer scheme successfully estimated system states and disturbances.
• The event-based controller achieved disturbance rejection and tracking convergence.
• Reduced communication load was demonstrated through dynamic and multi-choice triggering.

Conclusions:

• The developed event-observer-based compensation strategy enhances the safety and tracking control of NMJSs.
• The approach offers a robust solution for systems facing faults, disturbances, and limited measurements.
• The proposed triggering mechanisms improve communication efficiency in control systems.