Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471992 | Nonlinear Analysis: Hybrid Systems | 2017 | 18 Pages |
Abstract
In this paper, we consider an optimal control problem of switched systems with input and state constraints. Since the complexity of such constraint and switching laws, it is difficult to solve the problem using standard optimization techniques. In addition, although conjugate gradient algorithms are very useful for solving nonlinear optimization problem, in practical implementations, the existing Wolfe condition may never be satisfied due to the existence of numerical errors. And the mode insertion technique only leads to suboptimal solutions, due to only certain mode insertions being considered. Thus, based on an improved conjugate gradient algorithm and a discrete filled function method, an improved bi-level algorithm is proposed to solve this optimization problem. Convergence results indicate that the proposed algorithm is globally convergent. Three numerical examples are solved to illustrate the proposed algorithm converges faster and yields a better cost function value than existing bi-level algorithms.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Xiang Wu, Kanjian Zhang, Ming Cheng,