Title :
H∞ Control of 2-D State-Delayed Systems with Uncertainties
Author :
Peng Dan ; Guan Xinping ; Long Chengnian
Author_Institution :
Inst. of Electr. Eng., Yanshan Univ., Qinhuangdao, China
Abstract :
This paper studies robust H∞ control problem for 2D discrete systems with state delays. Firstly, H∞ performance of 2D discrete state-delayed systems in local state-space (LSS) Fornasini-Marchesini (FM) second model is considered. The definition of H∞ performance is proposed and based on it, we obtain the sufficient conditions described by RDI and LMI, respectively, i.e. bounded real lemma, which assure the stability and H∞ performance of 2D state-delayed systems. Then we design a state feedback controller applying the LMI condition, which makes 2D uncertain state-delayed system have H∞ performance Υ. Moreover, an optimization problem is proposed to guarantee the minimum H∞ norm bound Υ and the according controller can be obtained. Finally, a numerical example is given to demonstrate the effectiveness of our results.
Keywords :
H∞ control; delays; discrete systems; linear matrix inequalities; optimisation; robust control; state feedback; uncertain systems; 2D discrete state-delayed system; 2D uncertain state-delayed system; Fornasini-Marchesini second model; bounded real lemma; linear matrix inequality; local state-space; robust H∞ control; state feedback controller; Control systems; Costs; Delay effects; Multidimensional systems; Output feedback; Performance analysis; Robust control; Robust stability; State feedback; Sufficient conditions; 2-D discrete state-delayed system; H∞ performance; bounded real lemma; linear matrix inequality (LMI); state feedback controller;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280741
