非线性不确定时变时滞中立系统的非脆弱控制

Non-fragile Control for Nonlinear Uncertain Neutral Systems with Time-varying Delays

针对状态、控制输入均含有时变时滞的一类非线性不确定中立系统,探讨其基于Lyapunov稳定性理论的非脆弱控制问题.采用矩阵的各种分解和放大方法,并基于系统的非线性扰动信息,构造含有增益扰动的控制器,得到使得闭环系统具有渐近稳定的良好性能的稳定性判据.同时,应用积分引理来处理Lyapunov泛函导数中的积分项.最后通过一个数值例子展示控制器的设计思路,并通过数值仿真验证所提方法的有效性.

The non-fragile control for a class of nonlinear uncertain neutral systems with time-varing delays in state and control input is focused on. in Lyapunov stability theory framework, using various techni Ques of decomposing and magnifying for matrices, the control with gain persturbations is proposed, which can guaranteed the asymptotical stability of the close-loop systems. The stability critrerion is given based on the nonlinear persturbations. Also, a useful integral lemma is utilized to deal with the integral generated by differentiating the Lyapunov functional. Finally, an example is given to illustrate the design method of the control and show the effectiveness of the developed scheme.