Title :
A cutting plane algorithm for robustness analysis of periodically time-varying systems
Author :
Kao, Chung-Yao ; Megretski, Alexandre ; Jönsson, Ulf T.
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
fDate :
4/1/2001 12:00:00 AM
Abstract :
An algorithm for robustness analysis of periodic systems is derived. The system under consideration consists of a linear periodically time-varying plant in feedback interconnection with a structured uncertainty. Conditions for robust stability and robust performance can be formulated in terms of periodic integral quadratic constraints (IQCs). In this way, the robustness analysis becomes a problem of optimizing the parameters of the IQC. A cutting plane algorithm is suggested for solving this infinite-dimensional optimization problem
Keywords :
control system analysis; linear systems; optimisation; periodic control; robust control; time-varying systems; cutting plane algorithm; feedback interconnection; infinite-dimensional optimization problem; linear periodically time-varying plant; periodic integral quadratic constraints; periodic systems; robust performance; robust stability; robustness analysis; structured uncertainty; Algorithm design and analysis; Constraint optimization; Control systems; Feedback; Robots; Robust stability; Robustness; Stability analysis; Time varying systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
