Once in the hands of end users, such durable equipment as spacecraft, aircraft, ships,automobiles, computers, etc. are in a state of debugging, working or storage. In either state, availability, reliability and super-efficiency are the ultimate goals, which have been achieved through constant monitoring as well as regular, preventive, routine and corrective maintenance. Although some advanced instruments can visualize certain invisible malfunctioning phenomena into visible ones, deeply hidden troubles cannot be found unless monitoring and testing data are addressed using tools that process the data statistically, analytically and mathematically. Some state-of-theart trouble-shooting and life-predicting techniques and approaches are introduced in this paper.
针对一类范数有界的不确定多项式非线性系统的H∞静态输出反馈控制器设计问题,以双线性矩阵不等式(bilinear matrix inequalities,BMIs)形式给出了此类控制器存在的充要条件。由于BMIs问题是非凸的,因此引入一种迭代平方和优化(iterative sum of squares,ISOS)算法。该算法能够有效的求解BMIs问题,并进一步得到H∞静态输出反馈控制器。最后,仿真算例证明了该方法的有效性。
