基于比较原理的非线性组合系统的输出反馈镇定

综合运用比较原理和LMI方法，通过构造一比较系统，将原组合系统的稳定性问题转化为维数较低的比较系统的稳定性问题，并利用M矩阵特性导出了比较系统稳定的一个充分条件．为了求取输出反馈增益，建立了等价稳定条件的QLMI表示形式．这一方法的特点是使大系统的稳定控制器设计的复杂度保持在子系统一级的水平上．数值实例说明了所提出算法在实际工程应用中的可行性和有效性．

Output feedback stabilization for composited nonlinear systems based on comparison principle

A comparing model is introduced to transfer the problem of output feedback for stabilizing the composited nonlinear systems into the problem of output feedback for stabilizing the comparison systems with lower dimensions, by employing comparison principle and LMI stability theory integrally. A stability condition is developed by using M matrix, and the equivalent LMI expression is founded, which is used to obtain the output feedback gain. The characteristic of the proposed method is to decrease the complexity of the design of stability controller. Finally, a numeral example shows its feasibility and effectiveness.