نتایج جستجو برای: fractional optimal control problems

تعداد نتایج: 2168254  

2015
Nasser H. Sweilam Tamer M. Al-Ajami

In this paper, the Legendre spectral-collocation method was applied to obtain approximate solutions for some types of fractional optimal control problems (FOCPs). The fractional derivative was described in the Caputo sense. Two different approaches were presented, in the first approach, necessary optimality conditions in terms of the associated Hamiltonian were approximated. In the second appro...

2012
Mihailo Lazarević

This paper presents the new algorithms of PID control based on fractional calculus (FC) and an optimal procedure in the position control of a 3 DOF robotic system driven by DC motors. The objective of this work is to find out the optimal settings for a fractional PI D α β controller in order to fulfill the proposed design specifications for the closed-loop system, taking advantage of the fracti...

The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.

Journal: :biquarterly journal of control and optimization in applied mathematics 2015
akbar hashemi borzabadi manije hasanabadi naser sadjadi

in this paper an approach based on evolutionary algorithms to find pareto optimal pair of state and control for multi-objective optimal control problems (moocp)'s is introduced‎. ‎in this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a piecewise linear control and a piecewise linear trajectory are obtained from the discretized time-control space using ...

2014
Andy D. Borum ANDY D. BORUM Dennis Matthews Aadeel Akhtar Jamie Norton Miles Johnson Mary Nguyen Xinke Deng David Hanley Jessica Mullins Sean Yen Jacob Wagner

In this thesis, we consider smooth optimal control systems that evolve on Lie groups. Pontryagin’s maximum principle allows us to search for local solutions of the optimal control problem by studying an associated Hamiltonian dynamical system. When the associated Hamiltonian function possess symmetries, we can often study the Hamiltonian system in a vector space whose dimension is lower than th...

Journal: :Communications in Advanced Mathematical Sciences 2019

Journal: :Journal of Mathematical Analysis and Applications 1994

Journal: :Mathematical Models and Methods in Applied Sciences 2017

Journal: :Annales de l'Institut Henri Poincaré C, Analyse non linéaire 1989

Journal: :Journal of Global Optimization 2015

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