Title: On Irregular Linear Quadratic Control

Speaker: Huanshui Zhang (Shan Dong University)

Time and venue ：Jan 9， 15:00-16:00, N219

Abstract: This talk is concerned with a fundamental problem of linear quadratic (LQ) with irregular Riccati equation. Different from the classical control theory for regular LQ problems, a new approach of 'multi-layer optimization' is proposed. With the approach, we show that different controller entries of irregular-LQ controller need to be derived from different equilibrium conditions and a specified terminal constraint condition in different steps, which is much different from the classical regular LQ control where the all the controller entries can be obtained from equilibrium condition in one step based on regular Riccati equation. The presented results clarify the differences of open-loop control from closed-loop control in the aspects of solvability and controller design and also explores in essentially the differences of regular control from irregular control.

张焕水, 1997年获东北大学工业自动化工学博士学位。1998年至2003年先后在新加坡南洋理工大学和香港理工大学从事博士后以及访问学术研究。1994年晋升为副教授，1999年晋升为教授， 2003年8月受聘哈尔滨工业大学教授、博士生导师，2006年当选山东省首批“泰山学者”，并加入山东大学控制科学与工程学院。张焕水教授主要研究方向为最优估计与控制理论，随机系统，时滞系统，网络控制系统，多自主体系统。曾担任IEEE Trans. on Automatic Control 等国内外多家期刊编委及关肇直奖第八届评奖委员会委员。