Title :
Robust pole assignment via dependently structured perturbations using real stability radii
Author :
Chang, Yeong-Hwa ; Wise, Gary L.
Author_Institution :
Dept. of Electr. Eng., Chung Cheng Inst. of Technol., Taoyuan, Taiwan
Abstract :
In this paper, linear time invariant systems with state space representation subject to perturbations are considered. The perturbations of concern are assumed to be time invariant with some given structures. Based on real stability radii, we present various stability robustness criteria such that all the eigenvalues of the perturbed systems are kept in a specified region, a wedge or a disk. We also propose a convergent algorithm to improve the stability bounds. Examples illustrate that less conservative bounds can be obtained. Both the cases in continuous time and discrete time systems are discussed
Keywords :
continuous time systems; convergence of numerical methods; discrete time systems; eigenvalues and eigenfunctions; iterative methods; linear systems; perturbation techniques; pole assignment; stability; stability criteria; state-space methods; continuous time systems; convergent algorithm; discrete time systems; eigenvalues; linear time invariant systems; pole assignment; real stability radius; robustness; stability bounds; stability criteria; state space representation; structured perturbations; Discrete time systems; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Lyapunov method; Robust stability; Space technology; Stability criteria; State-space methods; Time invariant systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479166
