A remark on model reduction for singular systems

作者：Liu Chao; Zhang Qingling; Duan Xiaodong

来源：Optimal Control Applications and Methods, 2007, 28(4): 301-308.

DOI：10.1002/oca.799

• singular systems
• model reduction
• particle swarm optimization

This note comments oil the results of the following two papers, 'model reduction problem for singular systems via covariance approximation' (Optim. Contr. Appl. Meth. 2004; 25:263-278) and 'A remark on model reduction for singular systems via covariance approximation (Optim. Contr.. Appl. Meth. 2006; 27:293-298). which all studied the model reduction for singular systems. In this note the model reduction for singular systems is investigated based oil particle swarm optimization and the error criterion via covariance approximation. The reduced model for singular systems obtained in this note is stable and impulse controllable. Furthermore, compared with the above two papers, the reduced-order system approximates the original system better. Finally, an example is provided to show the effectiveness and improvement of the proposed algorithm.

• 出版日期2007-8
• 单位东北大学; 大连民族大学