optimal control of singularly perturbed linear systems and applications pdf

Optimal Control Of Singularly Perturbed Linear Systems And Applications Pdf

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Nguyen Thi Hoai. The direct scheme method is applied to construct an asymptotic approximation of any order to a solution of a singularly perturbed optimal problem with scalar state, controlled via a second-order linear ODE and two fixed end points. The error estimates for state and control variables and for the functional are obtained.

An illustrative example is given. Bawa , Spline based computational technique for linear singularly perturbed boundary value problem, Appl. Math, Comput. Google Scholar. Natesan , A computational method for self adjoint singular perturbation problems using quintic spline, Int. Computers Math. Dmitriev , Direct scheme in optimal control problems with fast and slow motions, Systems Control Lett. Boglaev , A variational difference scheme for a boundary value problem with a small parameter in the highest derivative, USSR Comput.

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Optimal harvesting policy for the Beverton--Holt model. Diana Keller. Conference Publications , , special : Xingchun Wang , Yongjin Wang. Variance-optimal hedging for target volatility options. High-precision computations of divergent asymptotic series and homoclinic phenomena. An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. American Institute of Mathematical Sciences. Previous Article A new methodology for solving bi-criterion fractional stochastic programming.

Global and regional constrained controllability for distributed parabolic linear systems: RHUM approach. Keywords: Singular perturbation , asymptotic expansion , optimal problem , second-order ODE. Citation: Nguyen Thi Hoai. Asymptotic approximation to a solution of a singularly perturbed linear-quadratic optimal control problem with second-order linear ordinary differential equation of state variable. References: [1] R.

Singular perturbations and optimal control

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The Hamiltonian boundary-value problem, associated with a singularly-perturbed linear-quadratic optimal control problem with delay in the state variables, is considered. A formal asymptotic solution of this boundary-value problem is constructed by application of the boundary function method. The justification of this asymptotic solution is done. The asymptotic solution of the Hamiltonian boundary-value problem is constructed and justified assuming boundary-layer stabilizability and detectability. This is a preview of subscription content, access via your institution. Rent this article via DeepDyve. Bensoussan, A.

Nguyen Thi Hoai. The direct scheme method is applied to construct an asymptotic approximation of any order to a solution of a singularly perturbed optimal problem with scalar state, controlled via a second-order linear ODE and two fixed end points. The error estimates for state and control variables and for the functional are obtained. An illustrative example is given. Bawa , Spline based computational technique for linear singularly perturbed boundary value problem, Appl. Math, Comput. Google Scholar.


Request PDF | On Jan 4, , Zoran Gajić and others published Optimal control of singularly perturbed linear systems and applications.


Subject Terms: keyword: singularly perturbed ODE , keyword:Robin boundary function , keyword:energetic Robin boundary function , keyword:collocation method , mscB Relation: mr:MR; zbl; reference:[1] Ascher; U. Zbl A survey and comparison of some one-step formulae. The development and analysis of highly stable deferred correction formulae.

Mathematical Control Theory pp Cite as. These lecture notes are intended to provide an elementary account of some of the recent mathematical effort in applying singular perturbations theory to optimal control problems, to demonstrate the practical importance of this asymptotic technique to current engineering studies, and to suggest several open problems needing further research. Readers are referred to the survey article by Kokotovic, O'Malley, and Sannuti for a discussion of related topics and for additional references.

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