时变时滞奇异摄动Lurie系统的控制器设计

为进一步加强对洛尔系统的鲁棒控制，基于前期稳定性分析理论基础上，研究含有不确定性结构的时变时滞奇异摄动Lurie 系统在扇形区域［V1，V2］内的控制器设计问题。通过构造新的李雅普诺夫泛函利用新的交叉项界定法，由Lurie 系统的特性，设计含有不确定性结构的时变时滞奇异摄动Lurie 系统在一般的扇形区域［V1，V2］内的状态反馈控制器，推出时滞依赖和时滞独立两种情形下新的状态反馈控制率。最后，通过数值样例证明所设计方法的有效性和可行性。

Controller Design of Singularly Perturbed Lurie Systems with Time-Varying Delay

To further strengthen the robust control of Lurie system，based on the early theoretical study，a controller design theory for Lurie systems with time-varying delay uncertainty is discussed with the application of the new cross-term definition method． By constructing a new Lyapunov functional and following the characteristics of Lurie system，the new feedback controllers are designed for singularly perturbed Lurie systems with uncertain time-varying delay in the sector region ［V1，V2］，and the state feedback control laws of time-delay dependent and time-delay independent are deduced． Finally，the feasibility and effectiveness are illustrated by the correspanding numerical example．