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Robust stability analysis of guaranteed cost control for impulsive switched systems
Honglei Xu1, Kok Lay Teo, Xinzhi Liu
1Department of Mathematics, Guizhou University, Guiyang 550025, China. hlxu@ieee.org
Summary
This study addresses robust stability for uncertain impulsive switched systems using LQ guaranteed cost control. We provide conditions ensuring the system remains stable with a guaranteed cost value.
Area of Science:
- Control Theory
- Systems Engineering
- Applied Mathematics
Background:
- Impulsive switched systems are prevalent in various engineering applications.
- Ensuring robust stability under uncertainty is crucial for system reliability.
- Linear Quadratic (LQ) guaranteed cost control offers a framework for performance optimization.
Purpose of the Study:
- To investigate the robust stability of uncertain impulsive switched systems.
- To develop conditions for a guaranteed cost control law.
- To demonstrate the effectiveness of the proposed control strategy.
Main Methods:
- Analysis of system dynamics under uncertainty.
- Development of sufficient conditions for robust stability.
- Design of an LQ guaranteed cost control law.
Main Results:
- Established criteria for robust stability in impulsive switched systems.
- Derived sufficient conditions for the existence of a guaranteed cost control.
- Demonstrated that the closed-loop system is robustly stable with a guaranteed cost.
Conclusions:
- The proposed LQ guaranteed cost control ensures robust stability for uncertain impulsive switched systems.
- The obtained conditions provide a theoretical basis for designing reliable control systems.
- This work contributes to the advancement of control theory for complex systems.
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