非线性不确定时滞系统观测器型鲁棒无源控制

将无源性概念引入到非线性不确定时滞系统中,研究了带有时滞和不确定性的非线性系统的鲁棒无源控制问题.首先,利用多层神经网络近似代替系统中的非线性部分,采用线性微分包含(LDI)技术来线性化该非线性环节.其次,基于LDI模型,构造适当的状态观测器和反馈控制器,利用Lyapunov稳定理论,通过一定的矩阵变换,将设计问题转化为线性矩阵不等式(LMI)的可行解问题.从而使控制器的设计简单易行.接着,引入无源化的损耗指标,给出具有指定损耗指标的鲁棒无源控制器设计方法.最后以Lo-gistic混沌系统为例进行仿真试验,结果表明该设计方法的有效性.

Robust passive control based on observer for uncertain nonlinear time-delay systems

The notion of passivity is proposed for nonlinear systems with uncertainties and time-delays and the robust passive control problem for nonlinear systems with uncertainties and time-delays is studied.Firstly,the neural network technology of linear difference inclusion(LDI) is employed to approximate the nonlinear terms.Then based on LDI model,choosing the appropriate observer and controller,utilizing Lyapunov theory,applying matrix manipulation and introducing a passive index,the design approach of the controller is proposed in terms of linear matrix inequality(LMI).Finally,a Lo-gistic chaotic system is demonstrated as an example to show the effectiveness of the proposed method.