Robust H-infinity control of uncertain singular systems with delay in state
不确定性奇异时滞系统的鲁棒H∞控制

This paper examines the problem of robust H-infinity control for linear singular state delayed systems with norm-bounded parameter uncertainty. First, one sufficient algebraic condition is given to guarantee the stability and H-infinity norm-boundness of the corresponding unforced nominal singular systems with delay in state. Then, the sufficient condition is obtained for the existence of robust H-infinity controller using the method of LMI. The controller can be solved by two LMIs. Finally, an illustrative example is presented.