Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials

SB Chen, S Soradi-Zeid, M Alipour, YM Chu… - Fractals, 2021 - World Scientific
In this paper, a novel direct scheme to solve a set of time-delay fractional optimal control
problems is introduced. The method firstly uses a set of Dickson polynomials as basis …

Impact of spotted hyena optimized cascade controller in load frequency control of wave-solar-double compensated capacitive energy storage based interconnected …

A Saha, P Dash, NR Babu, T Chiranjeevi… - Energies, 2022 - mdpi.com
The concept of automatic generation control has an immense role in providing quality power
in an interconnected system. To obtain quality power by controlling the oscillations of …

A gradient-based optimization algorithm to solve optimal control problems with conformable fractional-order derivatives

Z Gong, C Liu, KL Teo, Y Wu - Journal of Computational and Applied …, 2025 - Elsevier
In this paper, we solve numerically a class of fractional optimal control problems in the
conformable sense. We first propose a nonlinear fractional optimal control problem subject …

Optimal fractional order control for nonlinear systems represented by the Euler-Lagrange formulation

AT Azar, FE Serrano, NA Kamal - International Journal of …, 2021 - inderscienceonline.com
In this paper a novel control strategy is shown for the control of fractional order systems
established in the Euler-Lagrange formulation. The objective is to find an optimal fractional …

Controllability of infinite-dimensional conformable linear and semilinear systems

T Ennouari, B Abouzaid, ME Achhab - International Journal of Dynamics …, 2023 - Springer
The current paper discusses the controllability of systems governed by infinite-dimensional
linear and semilinear conformable differential equations. By stating conformable …

Linear quadratic optimal control problem of fractional order continuous–time singular system

T Chiranjeevi, RK Biswas - Procedia Computer Science, 2020 - Elsevier
In this paper, formulation and an approximated numerical scheme for linear quadratic
optimal control problem (LQOCP) of fractional order singular system (FOSS) with fixed final …

[PDF][PDF] On optimal control problem subject to fractional order discrete time singular systems

T Chiranjeevi, RK Biswas, R Devarapalli… - Archives of Control …, 2021 - bibliotekanauki.pl
In this work, we present optimal control formulation and numerical algorithm for fractional
order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time …

[PDF][PDF] Fixed terminal time fractional optimal control problem for discrete time singular system

T Chiranjeevi, R Devarapalli, NR Babu… - Archives of Control …, 2022 - bibliotekanauki.pl
This paper presents the formulation and numerical simulation for linear quadratic optimal
control problem (LQOCP) of free terminal state and fixed terminal time fractional order …

Computational method based on reflection operator for solving a class of fractional optimal control problem

T Chiranjeevi, RK Biswas - Procedia Computer Science, 2020 - Elsevier
A computational method based on reflection operator and Grünwald-Letnikov (GL)
formulation for solving fractional optimal control problem (FOCP) of continuous-time singular …

[HTML][HTML] Control of electric machines using flower pollination algorithm based fractional order PID controller

T Chiranjeevi, NR Babu, A Yadav, VK Das… - Global Transitions …, 2021 - Elsevier
In this work, fractional order proportional integral derivative controller (FOPIDC) is proposed
and implemented for speed control of electric machines using nature-inspired metaheuristic …