Computer-Aided Control System Design and Control Performance for Active Vibration Control Systems Based on μ Synthesis Theory
Kenzo Nonami* and Qi-fu Fan**
*Faculty of Engineering, Chiba UniversityYayoi-cho 1-33, Inage-ku, Chiba, 263 Japan
**Graduate School of Chiba University
Received:June 7, 1994Accepted:June 17, 1994Published:August 20, 1994
Keywords:Active vibration control, μ Synthesis theory, Robust control, Robust performance, Flexible structure, H∞ control
The H∞ control theory is currently the most powerful method for robust control theory, and is useful as well as practical because a great amount of software related to computer-aided control system design is available. However, it has some disadvantages in that the H∞ control system is a conservative one and cannot deal with robust performance. This is due to maximum singular values. Doyle proposed a structured singular value instead of a maximum singular value. This is called ∞ synthesis theory and actively deals with robust performance using D-K iteration. This paper is concerned with computeraided design of active vibration control systems based on the μ synthesis theory. First, the paradigm of the μ synthesis theory is described concerning μ, robust performance, and D-K iteration. Next, the relationships between the μ controller, robust performance, nominal performance, and robust stability are discussed for vibration control systems.
Cite this article as:K. Nonami and Q. Fan, “Computer-Aided Control System Design and Control Performance for Active Vibration Control Systems Based on μ Synthesis Theory,” J. Robot. Mechatron., Vol.6 No.4, pp. 304-311, 1994.Data files: