一类非线性系统的鲁棒无源性综合问题

针对一类带有界范数不确定性的仿射非线性系统,研究它的鲁棒无源性综舍问题.首先,基于非线性矩阵不等式方法得到系统是鲁棒无源的充分条件;然后在此基础上,获得存在状态反馈控制器使得该系统鲁棒无源控制问题可解的充分条件,并给出所需控制器的参数化表达.最后,简单阐述了利用凸优化方法通过求解一系列相应的线性矩阵不等式来得到非线性矩阵不等式局部解的思想.

Robust passive control of nonlinear uncertain systems

The robust passivity synthesis problem is concerned for a class of affine nonlinear systems with bounded-norm uncertainties.Firstly,based on the nonlinear matrix inequality(NLMI) approach,the sufficient condition under which the unforced uncertain systems are robustly passive is derived;and then,again applying NLMI approach,the solvable conditions for the problem that there exists a state-feedback controller such that the closed loop systems are robust passive are proposed,and the parameterized controllers are explicitly expressed.Finally,the idea how to use the convex optimization technique in order to obtain the local solution of the nonlinear matrix inequality via solving a series of corresponding linear matrices inequalities is explained.