Robust controller synthesis for high order unstable processes with time delay using mirror mapping technique.
In this note, a general scheme is proposed for the high order unstable delay process with one or more positive poles, using the mirror mapping technique. The Nyquist criteria is employed to establish a systematic methodology to tune the parameter. The stabilizing parameter region could guarantee the prespecified robustness specification. In the scheme, a control law is designed based on the all-pole Padé approximated model. The unstable process was first mapped into a minimum-phase system, and the actual control is obtained by the closed-loop gain shaping algorithm (CGSA). The advantages are that one has a concise design procedure and can achieve good performance such as disturbance rejection and robustness. Finally, three highly cited examples are used to illustrate the effectiveness of the proposed method.
Navigation College, Dalian Maritime University, Dalian 116026, China. Electronic address: zgq_dlmu@163.com.
Guoqing
G
Zhang
Navigation College, Dalian Maritime University, Dalian 116026, China. Electronic address: zhangxk@dlmu.edu.cn.
Xianku
X
Zhang
Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China. Electronic address: wdzhang@sjtu.edu.cn.
Weidong
W
Zhang
Closed-loop gain shaping; High order; Mirror-mapping technique; Robust synthesis; Unstable delay process