Inequality path constraints in optimal control: a finite iteration -convergent scheme based on pointwise discretization |
| |
Authors: | Theodore W. C. Chen Vassilios S. Vassiliadis |
| |
Affiliation: | Department of Chemical Engineering, Cambridge University, Pembroke Street, Cambridge CB2 3RA, UK |
| |
Abstract: | This paper presents a new result in the analysis and implementation of path constraints in optimal control problems (OCPs). The scheme uses the well-known concept of discretizing path constraints on a finite number of points, yielding a set of interior-time point constraints replacing the original path constraints. The approach replaces the original OCP by a sequence of OCPs which is shown to converge in a finite number of steps to the solution of the original path constrained problem with -accuracy. Numerical results, verifying the theoretical analysis, are presented. The method is shown to be effective and promising for future applications, particularly in control vector parameterization implementations. |
| |
Keywords: | Nonlinear programming Inequality path constraints Constraint discretization Optimal control Dynamic optimization Differential– algebraic equations Control vector parameterization |
本文献已被 ScienceDirect 等数据库收录! |