非线性时滞奇异系统的鲁棒同时H_∞控制

Nonlinear Singular Systems with Time-Delay Robust Simultaneous H_∞ Control

摘要: 针对一组具有不确定性状态非线性的时滞奇异系统鲁棒H_∞控制问题进行研究。基于Lyapunov-Krasovskii泛函和线性矩阵不等式(LMI)以及非线性不确定向量函数范数有界的条件下，得到自由奇异系统的稳定性判据，进而有状态反馈控制下闭环非线性时滞奇异系统的正则、无脉冲、稳定的充分条件。给出带有不确定性具有扰动的非线性时滞闭环系统的H_∞控制器的构造方法。最后，给出仿真算例说明本文方法的可行性。

Abstract: This paper considers the problems of robust simultaneous H-infinity control for nonlinear singular systems with uncertain state time-delay. The stabilization criterion for singular systems is derived by Lyapunov-Krasovskii functional, linear matrix inequality (LMI) and nonlinear uncertain vector function with norm bounded, then the sufficient condition of closed-loop nonlinear singular systems with time-delay is gained to guarantee regular, impulse-free, stable. The H-infinity controller design approach is given for nonlinear uncertain singular closed-loop systems with time-delay and distur-bance. Finally, a numerical example is presented to illustrate the feasibility of the proposed results.