Title :
Eigenvalue assignment optimization for stable and unstable systems
Author :
Benton, Robert E. ; Smith, Dirk
Author_Institution :
Dept. of Mech. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
31 Mar-2 Apr 1996
Abstract :
A method for designing linear quadratic regulators (LQR) which meet performance specifications with minimal control-signal amplitude is developed. A non-derivative search routine is used to find a smaller gain vector which places the closed-loop eigenvalues in a specific sector-type region. The method may be used to specify arbitrary damping and settling-time characteristics for both stable and unstable systems. In this paper, controllers are designed for example systems to demonstrate the use of the method. The method is shown to yield smaller gain vectors than a previous method, and may be expanded to address more complicated design problems
Keywords :
closed loop systems; control system synthesis; damping; eigenvalues and eigenfunctions; linear quadratic control; matrix algebra; optimisation; stability; state feedback; closed-loop eigenvalues; damping; eigenvalue assignment optimization; gain vector; linear quadratic regulators; minimal control-signal amplitude; nonderivative search routine; performance specifications; settling-time characteristics; stable systems; unstable systems; Control systems; Damping; Design methodology; Eigenvalues and eigenfunctions; Mechanical engineering; Optimal control; Performance analysis; Regulators; Symmetric matrices; Vectors;
Conference_Titel :
System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on
Conference_Location :
Baton Rouge, LA
Print_ISBN :
0-8186-7352-4
DOI :
10.1109/SSST.1996.493531
