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本文讨论了当非线性系统的线性近似部分具有一对位于虚轴上的不可观极点时的输出反馈镇定问题,分别得到了利用静态和动态输出反馈系统可镇定的充分条件。文中证明了:当输出维数大于1时,几乎所有的上述这一类非线性系统都可用静态反馈来镇定。对于标量输出情形,本文讨论了不能用静态反馈镇定的系统用动态补偿镇定的充分条件。
This paper deals with the output feedback stabilization problem when the linear approximation of a nonlinear system has a pair of unobserved poles on the imaginary axis. The sufficient conditions for the stabilization of output feedback systems using both static and dynamic output feedback systems are obtained. The paper proves that almost all the above nonlinear systems of this kind can be stabilized by static feedback when the output dimension is greater than 1. For the case of scalar output, this paper discusses the sufficient conditions for the system to be dynamically compensated for stabilization that can not be stabilized by static feedback.