Title :
Two-Riccati positive real synthesis: LMI approach
Author :
Turan, L. ; Huang, C.-H. ; Safonov, M.G.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
A simple derivation of the two Riccati formulae for controllers rendering a closed loop system strongly positive real is presented. We also show how the bounded real synthesis problem expressed as a bilinear matrix inequality (BMI) can be derived from the positive real synthesis BMI via a bilinear transformation, and how the two Riccati inequality solutions for the positive real synthesis problem can be derived from the two Riccati inequality solution for the bounded real synthesis problem via a bilinear transformation, and vice versa
Keywords :
Riccati equations; closed loop systems; control system synthesis; linear systems; matrix algebra; transforms; Riccati inequality; bilinear matrix inequality; bilinear transformation; bounded real synthesis; closed loop system; linear time invariant system; two-Riccati positive real synthesis; Closed loop systems; Control system synthesis; Control systems; Linear matrix inequalities; Matrices; Null space; Riccati equations; Sun;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.531410
