A new digital approach to design multivariable robust optimal control systems

• Published in: Journal of Zhejiang University. A. Science Vol. 6; no. 7; pp. 707 - 710
• Main Author: 刘翔 陈琳 孙优贤
• Format: Journal Article
• Language: English
• Published: National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China 01.07.2005
• Subjects: 优化设计; 多变量控制系统; 特征函数; 矩阵控制; 鲁棒控制; l∞/H; Dynamic decoupling; Normal matrix; Row characteristic function
• ISSN: 1673-565X; 1862-1775
• DOI: 10.1631/jzus.2005.A0707

This paper presents a new design of robust optimal controller for multivariable system. The row characteristic functions of a linear multivariable system and dynamic decoupling of its equivalent system, were applied to change the transfer function matrix of a closed-loop system into a normal function matrix, so that robust H^∞ optimal stability is guaranteed. Furthermore, for the decoupled equivalent control system the I^∞ optimization approach is used to have the closed-loop system embody optimal time domain indexes. A successful application on a heater control system verified the excellence of the new control scheme.