Title :
Optimal robust pole assignment
Author_Institution :
Sophia Univ., Tokyo, Japan
Abstract :
An optimal robust pole assignment scheme is presented. Robustness is measured by the spectral condition number of the closed loop eigenstructure. Since the spectral condition number is nondifferentiable, an approximate differentiable objective function, which includes an index p, is introduced. As p tends to infinity, the optimizer for the approximate objective function converges to that for the condition number. For each p, a steepest descent method is used to find the optimizer. In our example, the optimizer converges within a very small p
Keywords :
eigenstructure assignment; linear systems; multivariable control systems; optimal control; pole assignment; robust control; approximate differentiable objective function; closed loop eigenstructure; optimal robust pole assignment scheme; spectral condition number; steepest descent method; Closed loop systems; Control systems; Gradient methods; H infinity control; Optimal control; Optimization methods; Robust control; Robustness; State feedback; Transient response;
Conference_Titel :
SICE '98. Proceedings of the 37th SICE Annual Conference. International Session Papers
Conference_Location :
Chiba
DOI :
10.1109/SICE.1998.742952