Title :
Solvability conditions for 4-block H∞ control with infinite and finite jω-axis zeros
Author :
Xin, Xin ; Mita, Tsutomu ; Anderson, Brian D O
Author_Institution :
Dept. of Control & Syst. Eng., Tokyo Inst. of Technol., Japan
Abstract :
The 4-block H∞ control problem with infinite and finite jω-axis is discussed in this paper. Via the eigenstructures related to the infinite and finite jω-zeros, this paper extends the Doyle-Glover-Khargonekar-Francis (1989) approach to the H∞ control problem without the constraints on the infinite or finite jω-axis zeros. The necessary and sufficient conditions are proposed for checking its solvability by solving two reduced-order Riccati equations and examining matrix norm conditions related to jω-axis zeros
Keywords :
H∞ control; Riccati equations; closed loop systems; computability; eigenvalues and eigenfunctions; poles and zeros; stability; H∞ control; closed loop systems; eigenstructures; matrix algebra; necessary conditions; reduced-order Riccati equations; solvability; stability; sufficient conditions; zeros; Artificial intelligence; Control systems; Eigenvalues and eigenfunctions; Error correction; H infinity control; Riccati equations; Stability; Sufficient conditions; Systems engineering and theory; Transfer functions;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707366
