Title :
Calculation of the structured singular value with gradient based optimization algorithms
Author :
Yi, Cheng ; Dehaene, Jeroen ; De Moor, Bart
Author_Institution :
ESAT, Katholieke Univ., Leuven, Heverlee, Belgium
Abstract :
The structured singular value problem, which is a basic problem in robustness analysis and synthesis for control systems with structured uncertainties, can be formulated as an optimization problem over the manifold of unitary matrices with a given structure. The authors show how geometric optimization methods, such as the steepest ascent method and the conjugate gradient method for optimization on a Riemannian manifold, lead to algorithms with guaranteed convergence to a lower bound for the structured singular value
Keywords :
control system analysis; control system synthesis; convergence; matrix algebra; optimisation; robust control; singular value decomposition; Riemannian manifold; conjugate gradient method; gradient based optimization algorithms; guaranteed convergence; robustness analysis; robustness synthesis; steepest ascent method; structured singular value; structured uncertainties; unitary matrices; Constraint optimization; Control system synthesis; Convergence; Counting circuits; Iterative algorithms; Optimization methods; Robust control; Robustness; Uncertainty;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532071
