Title :
H∞ control: inverse free formulae for D11 ≠0 and eliminating pole-zero cancellations via interpolation
Author :
Goh, K.C. ; Safonov, M.G.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
Inverse free matrix pencil/descriptor form formulae for the two-Riccati solution of the suboptimal ℋ∞ problem for the case 0⩽σ¯(D11)<γ are presented and are used to provide a complete analysis of ℋ∞ plant/controller pole/zero cancellation phenomena. Using matrix Nevalinna-Pick interpolation theory, we further provide a method that enables us to generate a ℋ∞ controller that selectively avoids cancelling plant poles/zeros
Keywords :
interpolation; matrix algebra; optimal control; poles and zeros; H∞ control; inverse free formulae; inverse-free matrix pencil/descriptor form formulae; matrix Nevalinna-Pick interpolation theory; pole-zero cancellation elimination; suboptimal H∞ problem; two-Riccati solution; Closed-form solution; Cost function; Flexible structures; Information analysis; Interpolation; Open loop systems; Optimal control; Poles and zeros; State-space methods; Uncertainty;
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.1993.325364
