具有非线性扰动的离散奇异时滞系统的保性能控制

为了设计系统的保性能控制器，使得闭环系统是正则、具有因果关系且稳定和性能指标有一上界，研究了扰动是满足Lipschitz条件的一类非线性离散奇异时滞系统的保性能控制问题．应用线性矩阵不等式方法，给出了系统的保性能控制器存在的充分条件，并在这些条件可解时．给出了保性能控制器的表达式．最后通过仿真实例表明了所给方法的有效性。

Guaranteed cost control for discrete-time singular systems with time-delay and nonlinear perturbation

To design a guaranteed cost controller that the closed-loop system not only is regular,causal and stable,but also guarantees an adequate level of performance for all admissible uncertainties,a guaranteed cost control problem for discrete-time singular systems with timedelay and nonlinear perturbation is discussed,which satisfies Lipschitz condition.By using the linear matrix inequality(LMI) approach,a sufficient condition for existence of guaranteed cost controller is presented.When these LMIs are feasible,an explicit expressions of guaranteed cost controller is obtained.Finally,a numerical example shows the effctiveness of the proposed method.