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研究了具Frobenius有界不确定性广义系统的稳定与鲁棒镇定问题 .通过对代数Riccati不等式或代数Riccati方程的求解 ,获得了不确定广义系统广义二次稳定的充要条件 ,使得对所有容许的不确定参数 ,系统是稳定 ,正则和无脉冲 .而且 ,根据一类矩阵方程 ,构造了使不确定广义系统鲁棒镇定的状态反馈控制器的设计方法 .实例说明了上述方法的有效性 .
The stability and the robust stabilization of a generalized system with Frobenius bounded uncertainty are investigated. By solving the algebraic Riccati inequality or algebraic Riccati equation, a sufficient and necessary condition for the generalized quadratic stability of uncertain singular systems is obtained, , The system is stable, regular and pulseless. Furthermore, a class of matrix equations is constructed to design a state feedback controller that can robustly stabilize an uncertain singular system. The example shows the effectiveness of the above method.