Title :
Discrete time H∞ preview control
Author :
Wang, Hongxia ; Zhang, Huanshui ; Xie, Lihua ; Liu, Shuai
Author_Institution :
Shenzhen Grad. Sch., Harbin Inst. of Technol., Harbin, China
Abstract :
The paper discusses the H∞ preview control problem. We apply simple tools such as completion of square to solve the problem. The sufficient and necessary condition under which the finite-horizon problem is solvable is provided and is actually the inertia condition reflecting the aftereffect from the disturbance. Different from existing results, the proposed controller is given by a Riccati equation with the same dimension as the original state, which is similar to that of the standard H∞ control. Both the finite horizon and infinite horizon cases are considered. The idea can be extended to systems with multiple-channel preview.
Keywords :
H∞ control; Riccati equations; discrete time systems; infinite horizon; predictive control; Riccati equation; discrete time H∞ preview control; finite horizon; finite-horizon problem; inertia condition; infinite horizon; Control systems; Control theory; Delay systems; Differential equations; Electrical equipment industry; Infinite horizon; Jacobian matrices; Riccati equations; System performance; Transfer functions;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
