Solving optimal control problems of the time-delayed systems by a neural network framework

Nazemi, Alireza; Fayyazi, Ensieh; Mortezaee, Marziyeh

doi:10.1080/09540091.2019.1604627

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Cited by 7 publications

(1 citation statement)

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“…We can use some techniques like the Taylor series approximation in [23] and Páde approximation in [24,25] for systems characterized…”

Section: Proofmentioning

confidence: 99%

A General Framework for Optimal Control of Fractional Nonlinear Delay Systems by Wavelets

Malmir¹

2020

Stat., optim. inf. comput.

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An iterative procedure to find the optimal solutions of general fractional nonlinear delay systems with quadraticperformance indices is introduced. The derivatives of state equations are understood in the Caputo sense. By presenting and applying a general framework, we use the Chebyshev wavelet method developed for fractional linear optimal control to convert fractional nonlinear optimal control problems as a sequence of quadratic programming ones. The concepts and computational procedure that are used for fractional linear optimal control are applied on fractional nonlinear optimal control. Different types of nonlinear optimal control problems with fractional or integer order can be solved. To see this, some numerical examples are solved. Another operational property of Chebyshev wavelets is presented.

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“…We can use some techniques like the Taylor series approximation in [23] and Páde approximation in [24,25] for systems characterized…”

Section: Proofmentioning

confidence: 99%

A General Framework for Optimal Control of Fractional Nonlinear Delay Systems by Wavelets

Malmir¹

2020

Stat., optim. inf. comput.

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show abstract

On fractional infinite-horizon optimal control problems with a combination of conformable and Caputo–Fabrizio fractional derivatives

Yavari

Nazemi

2020

ISA Transactions

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Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach

Hoseini

2023

International Journal of Systems Science

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Solving optimal control problems of the time-delayed systems by a neural network framework

Cited by 7 publications

References 67 publications

A General Framework for Optimal Control of Fractional Nonlinear Delay Systems by Wavelets

A General Framework for Optimal Control of Fractional Nonlinear Delay Systems by Wavelets

On fractional infinite-horizon optimal control problems with a combination of conformable and Caputo–Fabrizio fractional derivatives

Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach

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