【摘要】 提出一种积分不等式新方法 ,讨论不确定线性多时变时滞系统的鲁棒稳定性以及鲁棒稳定化问题 .首先利用 Park不等式建立了基于二次型项的积分不等式 ,利用这一不等式获得了系统基于 L MI的时滞相关、时滞导数相关鲁棒稳定条件 ;然后利用这一条件给出了时滞状态反馈控制器的一种新的设计方法 .数值例子说明了所得结论具有较小的保守性更多还原

【Abstract】 A new method called integral inequality method(IIM) is proposed to study the delay-dependent robust stability and stabilization for linear systems with multiple time-varying delays and norm-bounded uncertainties. First, an integral inequality for quadratic terms is established by using the Park inequality. Secondly, a new robust criterion of delay and its derivation dependent for determining the stability of systems with time-varying delays is obtained. This criterion is used to design an efficient stabilizing delayed state-feedback controller for systems with norm-bounded uncertainties. Finally, examples illustrate that the new results are of less conservative than that of the present literatures.更多还原