摘要
通过构造一比较系统,将Lurie型组合系统的稳定性问题转化为讨论维数较低的比较系统的稳定性问题,并利用M矩阵特性导出比较系统稳定的一个充分条件;为求取输出反馈增益,建立等价的稳定条件的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,给出的实例说明算法在实际工程应用中是有效的。
A comparing model is introduced to transfer the problem of output feedback for stabilizing the Lurie composite nonlinear systems into output feedback stabilizing the comparison systems of lower dimensions, by employing differential and Lyapunov stability theory integrally. A stability condition is developed in form of M matrix, the corresponding LMI expression is founded, which leads to an iterative approach to obtain the output feedback gain. An algorithm to obtain the output - feedback gain matrix is developed here based on the LMI technique. The key technique of developing iterative law of the matrix variable existing in QMI is discussed also. The character of the results proposed here is decreasing complexity. Finally, a numerical example is given to illustrate our results and its application.
出处
《计算技术与自动化》
2007年第4期12-16,共5页
Computing Technology and Automation
基金
湖南省科技计划项目资助(05GK2003)
