2015Differential EquationsRequires access

Disturbance neutralization principle for optimized dynamical systems

É. R. Smol’yakov

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Abstract

We suggest a concept of optimal control of dynamical systems with arbitrary unmodelable disturbances by synthesizing an ordinary and a generalized optimal control, which is obtained preliminarily for a model of the undisturbed dynamical system but is then used for the control of the actual perturbed dynamical system. By an example we illustrate how to construct a generalized optimal control and an approximate but arbitrarily accurate synthesis of the optimal control providing an arbitrary desired neutralization level of arbitrary unmodelable disturbances.

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What this paper is about

We suggest a concept of optimal control of dynamical systems with arbitrary unmodelable disturbances by synthesizing an ordinary and a generalized optimal control, which is obtained preliminarily for a model of the undisturbed dynamical system but is then used for the control of the actual perturbed dynamical system. By an example we illustrate how to construct a generalized optimal control and an approximate but arbitrarily accurate synthesis of the optimal control providing an arbitrary desired neutralization level of arbitrary unmodelable disturbances.

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Available abstract

We suggest a concept of optimal control of dynamical systems with arbitrary unmodelable disturbances by synthesizing an ordinary and a generalized optimal control, which is obtained preliminarily for a model of the undisturbed dynamical system but is then used for the control of the actual perturbed dynamical system. By an example we illustrate how to construct a generalized optimal control and an approximate but arbitrarily accurate synthesis of the optimal control providing an arbitrary desired neutralization level of arbitrary unmodelable disturbances.

Key concepts: Mathematics, Ordinary differential equation, Optimal control, Dynamical systems theory, Dynamical system (definition), Control theory (sociology), Projected dynamical system, Linear dynamical system

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