Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Subject: search.filters.subject.Optimal ControlWoS Q: search.filters.wosQuartile.Q2

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Now showing 1 - 10 of 10
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    No-Regret and Low-Regret Control for a Weakly Coupled Abstract Hyperbolic System
    (Wiley, 2025) Louafi, Meriem; Messaoudi, Mohammed; Abdeljawad, Thabet; Jarad, Fahd
    This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave-like phenomena and complexity, become even more challenging with weak coupling between subsystems. The study introduces no-regret and low-regret control strategies to handle missing information and achieve optimal performance. By deriving the Euler-Lagrange optimality system, it characterizes these control approaches in the context of weak coupling. Additionally, the paper establishes the existence and uniqueness of a no-regret and low-regret control, emphasizing the influence of uncertain coupling parameters. These findings are optimal control strategies for abstract weakly coupled hyperbolic systems under uncertainty. Finally, as highlighted in our conclusion, future research could explore integrating memory effects through fractional derivatives to improve the modeling of viscoelasticity, diffusion with memory, and wave damping.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 8
    On the New Hadamard Fractional Optimal Control Problems
    (Sage Publications Ltd, 2023) Tajani, Asmae; Jajarmi, Amin; Baleanu, Dumitru; Zguaid, Khalid
    The main goal of this manuscript is to investigate a fractional optimal control problem subject to a dynamical system involving Hadamard fractional derivatives. Necessary conditions for the optimality of the considered problem are derived in terms of the corresponding Euler-Lagrange equations. An iterative method is also proposed to numerically solve the obtained equations from the necessary optimality conditions. Two illustrative examples are considered and simulated in order to show the applicability and efficiency of the proposed method. Numerical simulations show that the used method presents some satisfying results regarding the absolute error values.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    Research on a Collocation Approach and Three Metaheuristic Techniques Based on Mvo, Mfo, and Woa for Optimal Control of Fractional Differential Equation
    (Sage Publications Ltd, 2023) Khanduzi, Raheleh; Beik, Samaneh P. A.; Baleanu, Dumitru; Ebrahimzadeh, Asiyeh; A Beik, Samaneh P
    Exploiting a comprehensive mathematical model for a class of systems governed by fractional optimal control problems is the significant focal point of the current paper. The efficiency index is a function of both control and state variables and the dynamic control system relies on Caputo fractional derivatives. The attributes of Bernoulli polynomials and their operational matrices of fractional Riemann-Liouville integrations are applied to convert the optimization problem to the nonlinear programing problem. Executing multi-verse optimizer, moth-flame optimization, and whale optimization algorithm terminate to the most excellent solution of fractional optimal control problems. A study on the advantage and performance between these approaches is analyzed by some examples. Comprehensive analysis ascertains that moth-flame optimization significantly solves the example. Furthermore, the privilege and advantage of preference with its accuracy are numerically indicated. Finally, results demonstrate that the objective function value gained by moth-flame optimization in comparison with other algorithms effectively decreased.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Optimal Control of a Mimo Bioreactor System Using Direct Approach
    (inst Control Robotics & Systems, Korean inst Electrical Engineers, 2021) Razminia, Abolhassan; Mobayen, Saleh; Baleanu, Dumitru; Simorgh, Abolfazl
    In this paper, the optimal control of a continuous type bioreactor with multi-input-multi-output signals is presented for the two active phases: growth and stationary. The underlying criterion to be minimized generalizes the classic quadratic forms to address some crucial objectives in controlling the bioreactor. In particular, the protection of actuators against fast switching in the controller output is considered by including a weighting term of the control signal derivatives. The direct optimal control approach is used to carry out the optimization in the presence of various limiting constraints. Direct methods are based on transcribing the infinite-dimensional problem to a finite-dimensional one. In this manuscript, direct single shooting and trapezoidal collocation methods are used for transcription, and the successive quadratic programming method is employed to solve the resulting nonlinear programming problem. It is shown that the trapezoidal method is an effective method for controlling the bioreactor in all the active phases, whereas the single shooting fails in dealing with the unstable one (i.e., growth). To analyze solutions in a more accurate manner, an auxiliary criterion is defined, and then the cheap control analysis is studied. The convergence to the lowest value of the auxiliary cost function and the effects on the optimal state and control trajectories are then examined by varying cheap parameters. Several numerical simulations support the presented theoretical formulation.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 5
    A Mathematical Model To Optimize the Available Control Measures of
    (Elsevier, 2021) Nasidi, Bashir Ahmad; Baleanu, Dumitru; Saadi, Sultan Hamed; Baba, Isa Abdullahi
    In the absence of valid medicine or vaccine for treating the pandemic Coronavirus (COVID-19) infection, other control strategies like; quarantine, social distancing, self- isolation, sanitation and use of personal protective equipment are effective tool used to prevent and curtail the spread of the disease. In this paper, we present a mathematical model to study the dynamics of COVID-19. We then formulate an optimal control problem with the aim to study the most effective control strategies to prevent the proliferation of the disease. The existence of an optimal control function is established and the Pontryagin maximum principle is applied for the characterization of the controller. The equilibrium solutions (DFE & endemic) are found to be locally asymptotically stable and subsequently the basic reproduction number is obtained. Numerical simulations are carried out to support the analytic results and to explicitly show the significance of the control. It is shown that Quarantine/isolating those infected with the disease is the best control measure at the moment.
  • Article
    Citation - WoS: 173
    Citation - Scopus: 173
    On the Fractional Optimal Control Problems With a General Derivative Operator
    (Wiley, 2021) Baleanu, Dumitru; Jajarmi, Amin
    This paper deals with a general form of fractional optimal control problems involving the fractional derivative with singular or non-singular kernel. The necessary conditions for the optimality of these problems are derived and a new numerical method is designed to solve these equations effectively. Simulation results indicate that the proposed method works well and provides satisfactory results with regard to accuracy and computational effort. Comparative results also verify that a particular case with Mittag-Leffler kernel improves the performance of the controlled system in terms of the transient response compared to the other fractional- and integer-order derivatives.
  • Article
    Citation - WoS: 125
    Citation - Scopus: 137
    A New Fractional Hrsv Model and Its Optimal Control: A Non-Singular Operator Approach
    (Elsevier, 2020) Yusuf, Abdullahi; Baleanu, Dumitru; Inc, Mustafa; Jajarmi, Amin
    In the current work, a fractional version of SIRS model is extensively investigated for the HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo sense (ABC). The fixed-point theory is employed to show the existence and uniqueness of the solution for the model under consideration. In order to see the performance of this model, simulation and comparative analyses are carried out according to the real experimental data from the state of Florida. To believe upon the results obtained, the fractional order is allowed to vary between (0, 1) whereupon the physical observations show that the fractional dynamical character depends on the order of derivative operator and approaches an integer solution as a tends to 1. These features make the model more applicable when presented in the structure of fractional-order with ABC derivative. The effect of treatment by an optimal control strategy is also examined on the evolution of susceptible, infectious, and recovered individuals. Simulation results indicate that our fractional modeling and optimal control scheme are less costly and more effective than the proposed approach in the classical version of the model to diminish the HRSV infected individuals. (C) 2019 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 14
    Citation - Scopus: 18
    Optimal Control of Nonlinear Dynamical Systems Based on a New Parallel Eigenvalue Decomposition Approach
    (Wiley, 2018) Baleanu, Dumitru; Jajarmi, Amin
    This manuscript aims to investigate a new approach based on the modal series method and eigenvalue decomposition technique to solve a class of nonlinear optimal control problems. For this purpose, a sequence of decoupled linear two-point boundary value problems is solved iteratively instead of solving the coupled nonlinear two-point boundary value problem derived from the maximum principle. The convergence analysis of the suggested technique is also investigated. In addition, the problem that needs to be solved at each iteration is composed of lower-order decoupled subproblems; hence, they can be solved in parallel. Thus, the new scheme has a parallel computing property improving its computational effectiveness. Numerical simulations and comparative results show that the proposed approach is efficient and provides satisfactory results.
  • Article
    Citation - WoS: 85
    Citation - Scopus: 97
    Suboptimal Control of Fractional-Order Dynamic Systems With Delay Argument
    (Sage Publications Ltd, 2018) Baleanu, Dumitru; Jajarmi, Amin
    In this paper, an efficient linear programming formulation is proposed for a class of fractional-order optimal control problems with delay argument. By means of the Lagrange multiplier in the calculus of variations and using the formula for fractional integration by parts, the Euler-Lagrange equations are derived in terms of a two-point fractional boundary value problem including an advance term as well as the delay argument. The derived equations are then reduced into a linear programming problem by using a Grunwald-Letnikov approximation for the fractional derivatives and introducing a new transformation in the calculus of variations. The new scheme is also effective for the delay fractional optimal control problems influenced by the external persistent disturbances. Numerical simulations and comparative results verify that the proposed approach is efficient and easy to implement.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 17
    A New Approach for the Optimal Control of Time-Varying Delay Systems With External Persistent Matched Disturbances
    (Sage Publications Ltd, 2018) Hajipour, Mojtaba; Baleanu, Dumitru; Jajarmi, Amin
    The aim of this study is to develop an efficient iterative approach for solving a class of time-delay optimal control problems with time-varying delay and external persistent disturbances. By using the internal model principle, the original time-delay model with disturbance is first converted into an augmented system without any disturbance. Then, we select a quadratic performance index for the augmented system to form an undisturbed time-delay optimal control problem. The necessary optimality conditions are then derived in terms of a two-point boundary value problem involving advance and delay arguments. Finally, a fast iterative algorithm is designed for the latter advance-delay boundary value problem. The convergence of the new iterative technique is also investigated. Numerical simulations verify that the proposed approach is efficient and provides satisfactory results.