输出跟踪问题中内部动态有界解的存在性

由于系统的内部动态不稳定，非最小相位系统的输出跟踪问题是一个具有挑战性的非常困难的问题，非最小相位系统在跟踪期望的输出轨这时，内部动态的不稳定变量可能发散。研究表明，不稳定内部动态有界解的存在性是非最小相位系统能够稳定跟踪期望输出轨迹的关键。对于系统内部动态具有双曲型形式的情形，Ｄｅｖａｓｉａ，Ｐａｄｅｎ和Ｃｈｅｎ利用对于不稳内部动态变量反时间方向积分的方法，证明了系统的内部地部存在有界解。文中讨

Existence of Bounded Internal Dynamics in Output Tracking Problem

The output tracking problems of non minimum phase systems are very difficult, because the internal dynamics of the systems are unstable. In the process of output tracking, the unstable variable of the internal dynamics of the non minimum phase systems may be unbounded. The existence of the bounded solution of unstable internal dynamics is the key to tracking reference trajectory stably. For the case that the internal dynamics are hyperbolic, Devasia, Chen and Paden proved the bounded solution of the internal dynamics existed by integrating the unstable variable backward in time. The bounded solutions of non hyperbolic internal dynamics are discussed. Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbo lic internal dynamics is existed by using center manifold theory. The computational example confirms the existence of the bounded solution of the internal dynamics.