【摘要】 针对一类具有范数有界不确定性的连续广义系统和一种具有时间乘积形式的二次性能指标,研究其状态反馈保性能控制器的设计问题.这种性能指标能够使系统状态响应随着时间的增加更快地趋于零,从而缩短系统达到稳定所需要的时间.文中给出了最优保性能控制器存在的充分必要条件并基于双线性矩阵不等式(BM I)、二次矩阵不等式(QM I)和LM I给出其设计方法,最后利用SDP软件和BM I软件举例说明所得结论的可行性.yh更多还原

【Abstract】 Design of state-feedback guaranteed cost controllers is considered for a class of norm bounded uncertain singular systems and a time-multiplied linear quadratic cost function.Such a cost function enables the state res-ponses to approach zero more quickly,and shortens stabilizing time of the systems.The sufficient and necessary condition and the optimal design method of guaranteed cost controllers based on bilinear matrix inequalities(BMIs),quadratic matrix inequalities(QMIs) and LMI are obtained.The numerical example shows the validity of our conclusion via the softwares of SDP and BMI.更多还原