Admissibility analysis and control synthesis for switched linear singular systems

作者：Lin Jinxing^*; Fei Shumin; Shen Jiong

来源：Journal of Systems Engineering and Electronics, 2009, 20(5): 1037-1044.

• switched singular systems
• admissibility
• switched Lyapunov function
• switched state feedback
• switched static output feedback

The problem of admissibility analysis and control synthesis of discrete-time switched linear singular (SLS) systems for arbitrary switching laws is solved. By using the switched Lyapunov function approach, some new sufficient conditions under which the SLS system is admissible for arbitrary switching laws are derived in terms of linear matrix inequalities (LMIs). Based on the admissibility results, control synthesis is then to design switched state feedback and static output feedback controllers, guaranteeing that the resulting closed-loop system is admissible. The presented results can be viewed as the extensions of previous works on switched Lyapunov function approach from the regular switched systems to singular switched cases. Examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions.

• 出版日期2009-10
• 单位东南大学