IEEE Control Systems Society Workshop on Computer-Aided Control System Design

1989 ◽  
Keyword(s):  
Control System ◽  
System Design ◽  
Control Systems ◽  
Control System Design ◽  
Computer Aided

Computer-Aided Control System Design and Control Performance for Active Vibration Control Systems Based on μ Synthesis Theory

1994 ◽  
Vol 6 (4) ◽  
pp. 304-311
Author(s):  
Kenzo Nonami ◽  
◽  
Qi-fu Fan ◽  
Keyword(s):  
Control System ◽  
Vibration Control ◽  
System Design ◽  
Control Systems ◽  
Active Vibration Control ◽  
Singular Value ◽  
Control System Design ◽  
Robust Performance ◽  
Computer Aided ◽  
Active Vibration

The <I>H</I>∞ 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 <I>H</I>∞ 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.

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