Applications of Singular Perturbation Techniques to Control Problems

Singular Perturbation of Optimal Control Problems on MultiDomains

The goal of this paper is to study a singular perturbation problem in the framework of optimal control on multi-domains. We consider an optimal control problem in which the controlled system contains a fast and a slow variables. This problem is reformulated as an Hamilton-JacobiBellman (HJB) equation. The main difficulty comes from the fact that the fast variable lives in a multi-domain. The ge...

A new Approach to the Multi-Objective Control of Linear Singular Perturbation Systems

Applications of Singular Perturbation Methods in Queueing

A survey is presented describing the application of singular perturbation techniques to queueing systems. The goal is to compute performance measures by constructing approximate solutions to specific problems involving either the Kolmogorov forward or backward equation which contain a small parameter. These techniques are particularly useful on problems for which exact solutions are not availab...

On some anisotropic singular perturbation problems

We investigate the asymptotic behavior of some anisotropic diffusion problems and give some estimates on the rate of convergence of the solution toward its limit. We also relate this type of elliptic problems to problems set in cylinder becoming unbounded in some directions and show how some information on one type leads to information for the other type and conversely. 1. A model problem The g...

A Singular Perturbation Approach to Control of Lightweight Flexible Manipulators

The control of lightweight flexible manipulators moving along predefined paths is the focus of this work. The flexible manipulator dynamics is derived on the basis of a Lagrangian-assumed modes method. The full order flexible dynamic system does not allow the determination of a tracking control as for rigid ma~ipulators, since there are not as many control inputs as output variables. Thi~ drawb...