Iterative identification and control design with optimal excitation signals based on υ-gap

• Published in: Science China. Information sciences Vol. 52; no. 7; pp. 1120 - 1128
• Main Authors: Dou, LiQian, Zong, Qun, Zhao, ZhanShan, Ji, YueHui
• Format: Journal Article
• Language: English
• Published: Heidelberg SP Science in China Press 01.07.2009; Springer Nature B.V
• Subjects: Closed loops; Computer Science; Control systems design; Controllers; Excitation; Feedback control; Information Systems and Communication Service; Iterative methods; Special Focus; System identification; Uncertainty; control design; iterative identification; excitation signals design; gap
• ISSN: 1009-2757; 1674-733X; 1862-2836; 1869-1919
• DOI: 10.1007/s11432-009-0105-x

An iterative identification and control design method based on υ -gap is given to ensure the stability of closed-loop system and control performance improvement. The whole iterative procedure includes three parts: the optimal excitation signals design, the uncertainty model set identification and the stable controller design. Firstly the worst case υ -gap is used as the criterion of the optimal excitation signals design, and the design is performed via the power spectrum optimization. And then, an uncertainty model set is attained by system identification on the basis of the measure signals. The controller is designed to ensure the stability of closed-loop system and the closed-loop performance improvement. Simulation result shows that the proposed method has good convergence and closed-loop control performance.