Title :
Calculation and control design of stability margins: a solution to singularly perturbed systems
Author :
Cheng, Chiu-Pin ; Li, Tzuu-Hseng S.
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng-Kung Univ., Tainan, Taiwan
Abstract :
The theory of matrix perturbation is used to calculate the stability margins and design the feedback gain matrix which yields the specified stability margins for linear time-invariant multivariable systems. The calculation of stability margins is equivalent to the solution of a polynomial equation and the feedback gain design is equivalent to the problem of pole assignment. When these results are applied to singularly perturbed systems one will know why the stability of real dynamic systems can be analyzed from their mathematical models
Keywords :
closed loop systems; feedback; multivariable control systems; stability criteria; feedback gain design; feedback gain matrix; linear time-invariant multivariable systems; matrix perturbation theory; pole assignment; polynomial equation; singularly perturbed systems; stability margins; stability of real dynamic systems; Control design; Control systems; Equations; Feedback; Laboratories; MIMO; Polynomials; Regulators; Robust stability; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.252198
