International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL
Foz do Iguassu, Brazil October 17th - 19th, 2007
| International Federation of Automatic Control | |
Session FE1: Robust Control IIChair: Shinji Hara - Japan Co-chair: Shankar Bhattacharyya - United States Room: Assunção 2007-10-19 From 16:00 to 18:00 | |
| A Unification of Analytical Expressions for Control Performance Limitations via Reciprocal Transform Shinji Hara Contact: Shinji Hara - Japan | |
| 17:00-17:20 | |
| Abstract: | |
| This paper proposes a new concept named "Reciprocal Transform" for unifying analytical expressions on control performance limitations achievable by feedback for continuous-time systems. The transform swaps the role of poles and zeros and takes the reciprocal values. We first show its several properties and the state-space form. We then investigate three typical cases on performance limitations, namely Bode integral type relations, optimal H2 tracking and regulation problems, and H∞ control problems including mixed sensitivity optimization and loop shaping design. The investigation confirms the role of reciprocal transform in control performance limitations. Copyright © 2007 IFAC. | |