Title :
Geometrical methods for pole assignment algorithms
Author :
Hüper, K. ; Helmke, U.
Author_Institution :
Inst. of Network Theory & Circuit Design, Tech. Univ. Munchen, Germany
Abstract :
A differential geometry approach for the design of output feedback pole assignment compensators is presented. In a first step, the output feedback control problem is formulated as an optimization problem for smooth objective functions on Grassmann manifolds, or related spaces. A Jacobi-type numerical algorithm is proposed that achieves minimization along sequences of simple, algebraic geodesics
Keywords :
compensation; differential geometry; feedback; linear systems; optimisation; pole assignment; Grassmann manifolds; Jacobi-type numerical algorithm; algebraic geodesics; compensators; differential geometry; linear systems; objective functions; optimization; output feedback; pole assignment; Circuit synthesis; Cost function; Eigenvalues and eigenfunctions; Geometry; Jacobian matrices; Linear systems; Mathematics; Output feedback; Polynomials; Sufficient conditions;
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.1995.480234
