Title :
Multiplier Km/μ-analysis - LMI approach
Author :
Ly, J.H. ; Chiang, R.Y. ; Goh, K.C. ; Safonov, M.G.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The theory of Km/μ-synthesis and analysis introduced by Safonov (1983) and Doyle (1983) essentially performs the following D-K iteration steps: 1) design a ℋ∞-controller K(s) such as to maximize the multivariable stabilty margin Km; and 2) for discrete frequencies, find a diagonal scaling frequency response matrix D(jw) as to maximize Km for a fixed K(s). Step 1 can be cast as a linear matrix inequalities (LMI) optimization problem for full order controller. The Km analysis in step 2 has been shown to be a LMI optimization problem. The paper reviews the fixed order optimal multiplier Km analysis theory and presents state space parameterization for the set of multipliers subject to mixed dynamic and real parametric uncertainties. A numerical example involving the robustness analysis of the Cassini spacecraft thrust vector control system is also included
Keywords :
H∞ control; Popov criterion; aerospace control; matrix algebra; multivariable control systems; optimisation; robust control; state-space methods; Cassini spacecraft; H∞ controller; Km/μ-synthesis; diagonal scaling; frequency response matrix; full order controller; linear matrix inequalities; multivariable stabilty margin; optimization; parametric uncertainties; robustness analysis; state space parameterization; thrust vector control; Frequency; Functional analysis; Linear matrix inequalities; Performance analysis; Robust control; Robustness; Space vehicles; Stability analysis; State-space methods; Uncertainty;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.529284
