Title :
State feedback H∞ optimal control for linear fractional-order systems
Author :
Jiao Zhuang ; Zhong Yisheng
Author_Institution :
Dept. of Autom. Control, Tsinghua Univ., Beijing, China
Abstract :
For linear fractional-order systems, state feedback H∞ optimal control problem is considered. It is shown that essential infimum of the H∞ norm of the closed-loop transfer function over all static stabilizing state-feedback laws can be completely characterized via a Fractional-order Algebraic Riccati Equation (FARE). Accordingly, the state-feedback H∞ optimal controller design can be performed by iteratively solving an FARE.
Keywords :
H∞ control; Riccati equations; closed loop systems; control system synthesis; iterative methods; linear systems; stability; state feedback; H∞ optimal control; closed-loop transfer function; fractional-order algebraic Riccati equation; iterative method; linear fractional-order system; state feedback; static stabilization; Computed tomography; Optimal control; Riccati equations; Stability analysis; State feedback; Transfer functions; Fractional-Order Algebraic Riccati EQUATION; Linear Fractional-Order Systems; Optimal Control;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6