摘要
综合讨论了一类Lipschitz非线性系统状态观测器的设计,给出观测器的结构形式。当输出相对状态为非线性时,采用LMI技术进行观测器增益矩阵的选取,并运用Lyapunov方法以线性矩阵不等式组的形式给出观测器渐近稳定的充分条件。结论推广至输出相对于状态为线性时的情况。该算法可以处理具有更大Lipschitz常数的非线性系统。当输出相对于状态为线性时,给出了两种求解采用Lyapunov方法所允许的最大Lipschitz常数的算法。通过仿真实例验证了结论的有效性。
Observer designing for a class of Lipschitz nonlinear systems was synthetically discussed. The structure form of the observer was given. When outputs versus to state were nonlinear, the LMI technology was used to get the gain matrix. The sufficient conditions ensuring the asymptotic stability of the observer were given using Lyapunov method in the form of a group of LMIs. Then the result was extended to situations when outputs versus to state were linear. The method could deal with the nonlinear systems with bigger Lipschitz constants. When outputs versus to state were linear,two algorithms were developed to calculate the biggest Lipschitz constant that could be dealt with using Lyapunov method. Finally the simulation examples testify the efficiency of the results.
出处
《化工自动化及仪表》
CAS
北大核心
2009年第2期19-22,共4页
Control and Instruments in Chemical Industry
