Title :
Pole placement algorithms for symmetric realisations
Author :
Mahony, Robert ; Helmke, U. ; Moore, John
Author_Institution :
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
In this paper we propose a numerical algorithm for determining optimal output feedback gains for the pole placement task for symmetric state space systems. The algorithm is based on minimising a least squares cost criterion which is well defined even when an exact solution to the pole placement task does not exist. Thus, the proposed algorithm provides an important tool in investigating the complex structure of the pole placement task as well as a means to compute optimal output feedback gain matrices to provide a “best fit” between the system poles and the desired poles
Keywords :
feedback; least squares approximations; linear systems; matrix algebra; minimisation; optimal control; poles and zeros; state-space methods; least squares cost criterion; linear symmetric feedback; minimisation; optimal output feedback gains; output feedback gain matrices; pole placement; symmetric state space systems; Adaptive systems; Algorithm design and analysis; Australia; Feedback loop; Least squares methods; Output feedback; Robustness; State feedback; State-space methods; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325407