Variational Principles In Optimal Control And Their Applications
Author(s)
L. F. Liang
Abstract
Variational principles in optimal control and
their applications
L. F. Liang
Civil Engineering College, Harbin Engineering University,
Harbin 150001, P. R., China.
Abstract
In this paper, the classical variational principles and generalized variational
principles in optimal control are established, and the compatible model, hybrid
model, mixed compatible model and mixed hybrid model are provided. As an
example, using mixed compatible model, algorithm and modeling results are
presented. These classical variational principles and generalized variational
principles cannot only be valid for holonomic control systems but also be valid
for nonholonomic control systems.
1 Introduction
Optimal control theory plays an important role in modern automatic control
region. Many scientists have devoted themselves to the study of optimal control
theory and obtained many important achievements, such as maximum principle
[l], dynamic programming [2]. With the widespread use of computer, numerous
computational
Keywords
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