Title :
Fixing the state-feedback gain by choice of closed-loop eigensystem
Author :
Verghese, George ; Kailath, T.
Author_Institution :
Stanford University, Stanford, CA
Abstract :
The purpose of this short paper is to round out recent results in the literature on fixing the state-feedback gain by choice of closed-loop eigensystem. The constraints on attainable eigensystems and a formula for the feedback gain are derived in a direct manner, and interpreted using the idea of ´eigen-inputs´. The well-known formula for the feedback gain of an optimal quadratic regulator is re-examined in this light; using a polynomial-matrix-fraction, a matrix generalization of the scalar ´root-square characteristic equation´ is also obtained.
Keywords :
Feedback; Information systems; Laboratories; Polynomials;
Conference_Titel :
Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, 1977 IEEE Conference on
Conference_Location :
New Orleans, LA, USA
DOI :
10.1109/CDC.1977.271760
