Title :
A cutting plane algorithm for robustness analysis of periodically time varying systems
Author :
Kao, Chung-Yao ; Jönsson, Ulf ; Megretski, Alexandre
Author_Institution :
LIDS, MIT, Cambridge, MA, USA
Abstract :
An algorithm for robustness analysis of periodic systems is derived. Conditions for robust stability and robust performance can be formulated in terms of integral quadratic constraints (IQC). 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; optimisation; robust control; state-space methods; time-varying systems; cutting plane algorithm; infinite dimensional optimization problem; integral quadratic constraints; periodically time varying systems; robust performance; robust stability; robustness analysis; Algorithm design and analysis; Limit-cycles; Nonlinear dynamical systems; Nonlinear systems; Orbits; Robust stability; Robustness; Stability analysis; Time varying systems; Uncertainty;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786468
