Research ArticleOpen accessPhrase in the titleOptimal Control of a Malaria Transmission Model with Saturated IncidencePerpetual Appiah, Henry Amankwah, Francis BenyahWe present a vector-host deterministic model for the transmission and control of malaria, using prevention and treatment as controls. A novel addition to our model is a new prevention function that highlights the role of prevention in reducing vector populations; an essential arsenal in the fight against malaria. Another innovation is the use of a novel treatment function, which reflects … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 29 Feb 2024 · 5,894 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleUniversal Singular Optimal Control: Affine SystemsAndres Gabriel Garcia, Juan Andrés Roteta LannesIn this study, the problem of finding an optimal controller for nonlinear systems with one input and a reference tracking signal is approached. With the problem's formulation, any desired signal can be tracked instantly with a closed-loop controller without the need for integral terms. Presentation lies at the heart of optimal control. This study, however, does not consider the integral … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 14 Dec 2022 · 5,452 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOptimal Control Techniques for the Role of Antiretroviral Therapy (ART) Abuse in HIV/AIDS Treatment DynamicsBassey Echeng Bassey, Adagba Odey HenryFrom the studies of HIV/AIDS transmission and treatment dynamicsusing mathematical modeling, literature reviews have shown that attention hadnot been given to the behavioral attitude of screen-aware infectives not readyto receive treatment, HIV-aware infectives that initiated treatment buttruncated only to resume treatment later (therapy abuse) and those onconsistent treatment protocols. Moreso, following the non-outright eradicationof the deadly HI-virus, recommendations have been … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 24 Nov 2022 · 5,819 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleApplication of Optimal Control to the Epidemiology of Fowl Pox Transmission Dynamics in PoultryUdofia Ekere Sunday, Inyama Simeon ChiomaProblem statement: In this study, we present the mathematical model of the transmission dynamics of fowl pox infection in poultry. Approach: It describes the interaction between the susceptible and the infected birds which results in a system of ordinary differential equation. Introducing the control which represents the effort in applying chemoprophylaxis control u1 and treatment control u2 in birds with … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 13 Jun 2012 · 6,955 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOptimal Control Design of Static Synchronous Series Compensator for Damping Power System OscillationPrechanon KumkratugProblem statement: In power systems, there exists a continuous challenge to improve dynamic performance of power system. Approach: The Static Synchronous Series Compensator (SSSC) is a power electronic based device that has capability of controlling the power flow through the line both in steady state and dynamic sate. This study applied the SSSC to damp power system oscillation. The optimal … …Journal of Computer Science, Vol. 7, Issue 6 · 14 Jun 2011 · 6,885 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOptimal Control Design of Static Var Compensator for Damping Power System OscillationPrechanon KumkratugProblem statement: The disturbance in power system is unavoidable situation. It causes in power system oscillation. Approach: This study applied the Static Var Compensator (SVC) to damp power system oscillation. The optimal control design is applied to derive the control strategy of SVC. The simulation results are tested on a Single Machine Infinite bus. The proposed method is equipped in … …American Journal of Applied Sciences, Vol. 8, Issue 5 · 17 May 2011 · 7,678 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleAn Optimal Control Approach to Inventory-Production Systems with Weibull Distributed DeteriorationMd. Azizul Baten, Anton Abdulbasah KamilProblem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help of an example. By the principle of … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,549 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleClosed Form Solution to an Optimal Control Problem by Orthogonal Polynomial ExpansionMohammad Ali Tavallaei, Behrouz TousiIn this study the use of orthogonal polynomials for obtaining a close form solution to optimal control problems with a weighed quadratic cost function, is proposed. The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control signal. This expansion results in a set of linear equations, from which the closed form solution … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,326 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOptimal Control Algorithms for Second Order SystemsDanilo Pelusi, Raffaele MascellaProportional Integral Derivative (PID) controllers are widely used in industrial processes for their simplicity and robustness. The main application problems are the tuning of PID parameters to obtain good settling time, rise time and overshoot. The challenge is to improve the timing parameters to achieve optimal control performances. Remarkable findings are obtained through the use of Artificial Intelligence techniques as … …Journal of Computer Science, Vol. 9, Issue 2 · 2 Apr 2013 · 7,029 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleImbedding the Multiplier in a Discretized Optimal Control Problem With Real Coefficients Via the Penalty and Multiplier MethodsO. OlotuProblem statement: Many earlier schemes, particularly the Function Space Algorithm (FSA) which sidetracks the knowledge of operator, for solving quadratic optimal control problems have been computationally involving and iteratively high. Approach: Though, some of these earlier schemes developed operators consisting of complicated integrals still very difficult to evaluate. Here, objectively, a new scheme, Discretized Continuous Algorithm (DCA), is proposed with … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,041 accessesView PDFCite