关于递阶控制的几个问题

本文论述了近几年关于递阶控制的几个问题.全文分四节.第一节较详细地介绍了从无限维凸规划出发提出的辅助问题原则和松弛原则,根据这两个原则形成的统一方法可以推导出若干分解-协调算法.第二节介绍了用递阶方法离线地计算线性和非线性系统的闭环控制律,并对稳态系统的在线控制问题作了较详细的介绍.第三节论述了stackelberg策略在递阶控制中的应用.第四节介绍了两种递阶系统状态估计的算法.

Several Problems of Hierarchical Control

In this paper, the (status of) several problems of hierarchical control are surveyed. The contents of this paper are as follows: In section I, the auxiliary problem and relaxation principle which are based on infinite-dimensional programming are discussed in detail. By these two principles, a unified apprach is formed, which can be used to derive several basic decomposition-coodination algorithms. In section II, the hierarchical method are used to obtain the closed-loop optimal control laws of linear and nonlinear systems; the on-line hierarchical control of the steady-state systems is also discussed. In section III, the Stackelberg strategies applied to hierarchical control are surveyed. In section IV, two algorithms of state estimation for hierarchical systems are derived.