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1
Content available Extremal problems for second order hyperbolic systems involving multiple time delays
Kowalewski Adam
Archives of Control Sciences
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2023
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Vol. 33, No. 1
101--126
EN
Extremal problems for multiple time delay hyperbolic systems are presented. The optimal boundary control problems for hyperbolic systems in which multiple time delays appear both in the state equations and in the Neumann boundary conditions are solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived.
2
Content available A semi-active control of lateral vibrations of the overhung rotor using dampers with the magneto-rheological fluid
Michajłow M., Konowrocki R., Szolc T.
Vibrations in Physical Systems
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2016
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Vol. 27
273--280
EN
In the paper there is proposed an algorithm of an efficient semi-active control of steady-state periodic lateral vibrations of the overhung rotor-shaft system. This algorithm has been developed using fundamentals of the Optimal Control Theory. In the considered system the control is realized by means of the linear dampers with the magneto-rheological fluid built in the bearing housing. The computational example demonstrates possibilities of the applied approach resulting in an additional reduction of out-of-resonance and near-resonance harmonic oscillation amplitudes in comparison with an analogous passive control.
3
Content available Financing university education in Nigeria : a proposal for infrastructure replenishment in universities
Ekhosuehi V., Iguodala W. A., Osagiede A. A.
Operations Research and Decisions
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2016
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Vol. 26, No. 4
33--47
EN
The subject of replenishment of infrastructure in Nigerian public universities has been of great concern to stakeholders in the educational system. How to obtain an appropriate replenishment plan that would give the desired infrastructure for a university after a certain period of time is a long-standing problem. We attempt to find a solution to this problem from an engineering perspective based on optimal control theory. The revenue generated through the payment of school fees and the costs of investment in infrastructure are used to construct the objective function. The state variables are the amount budgeted for such an investment and the stock of infrastructure, while the rate of replenishment is used as the control variable. The problem is solved by utilising Pontryagin’s principle. The dynamics of the replenishment plan is illustrated with an example. The results show that there should be a steady increase in the amount budgeted, in order to attain the desired infrastructure.
4
Zastosowanie dwuosobowej gry różniczkowej o sumie zerowej do sterowania elementem mechatronicznym
Hendzel Z., Penar P.
Modelowanie Inżynierskie
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2016
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T. 29, nr 60
21--27
PL
W artykule opisano zastosowanie teorii gier różniczkowych do sterowania modułem napędowym mobilnego robota kołowego. Omówiono rozwiązanie dwuosobowej gry różniczkowej o sumie zerowej wynikające z teorii punktu siodłowego Nasha. Teoria dwuosobowych gier o zerowej sumie i związana z nią teoria sterowania typu H∞ wynika z rozwiązania równania Hamiltona-Jacobiego-Isaaca (HJI). Ta problematyka występuje w teorii optymalnego sterowania obiektami dynamicznymi. Zastosowanie sterowania wynikającego z teorii gier różniczkowych gwarantuje optymalne rozwiązanie względem przyjętego wskaźnika jakości przy założeniu, że występują najbardziej niekorzystne zakłócenia. Przyjęte rozwiązania zweryfikowano na obiekcie rzeczywistym. Uzyskane wyniki potwierdziły poprawność przyjętych założeń i efektywność metody.
EN
In the paper we discuss the application of the differential game theory to motor control of a wheeled robot. We present the solution of two-player zero-sum differential game obtained from the Nash equilibrium theory. Two-player zero-sum game theory and related control theory of H∞ type are following from the solutions of the Hamilton-JacobiIsaacs (HJI) equations of the optimal control theory in dynamics. Differential game control guarantee optimal solution for a performance index assuming that wrost case disturbance. The proposed solution is verified for a real object. The obtained results demonstrated the correctness of assumptions and efficiency of used method.
5
Content available Determination of the optimal exchange rate via control of the domestic interest rate in Nigeria
Ekhosuehi V. U., Ogbonmwan S. M.
Operations Research and Decisions
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2014
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Vol. 24, No. 1
23--36
EN
An economic scenario has been considered where the government seeks to achieve a favourable balance-of-payments over a fixed planning horizon through exchange rate policy and control of the domestic interest rate. The dynamics of such an economy was considered in terms of a bounded optimal control problem where the exchange rate is the state variable and the domestic interest rate is the control variable. The idea of balance-of-payments was used as a theoretical underpinning to specify the objective function. By assuming that, changes in exchange rates were induced by two effects: the impact of the domestic interest rate on the exchange rate and the exchange rate system adopted by the government. Instances for both fixed and flexible optimal exchange rate regimes have been determined. The use of the approach has been illustrated employing data obtained from the Central Bank of Nigeria (CBN) statistical bulletin.
6
Content available Infinite time horizon optimal current control of a stepper motor exploiting a finite element model
Bernat J., Stępień S., Stranz A., Szymański G., Sykulski J. K.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2014
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Vol. 62, nr 4
835--841
EN
An optimal control theory based method is presented aiming at minimizing the energy delivered from source and the power loss in a stepper motor circuit. A linear quadratic current regulator with an infinite time horizon is employed and its appropriateness for this type of a problem explained. With the purpose of improving the accuracy of the control system, the self and mutual inductances of windings are calculated using a finite element model. The numerically computed results are verified experimentally.
7
Content available Joint queue-perturbed and weakly coupled power control for wireless backbone networks
Olwal T. O., Djouani K., Kogeda O. P., van Wyk B. J.
International Journal of Applied Mathematics and Computer Science
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2012
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Vol. 22, no. 3
749-764
EN
Wireless Backbone Networks (WBNs) equipped with Multi-Radio Multi-Channel (MRMC) configurations do experience power control problems such as the inter-channel and co-channel interference, high energy consumption at multiple queues and unscalable network connectivity. Such network problems can be conveniently modelled using the theory of queue perturbation in the multiple queue systems and also as a weak coupling in a multiple channel wireless network. Consequently, this paper proposes a queue perturbation and weakly coupled based power control approach for WBNs. The ultimate objectives are to increase energy efficiency and the overall network capacity. In order to achieve this objective, a Markov chain model is first presented to describe the behaviour of the steady state probability distribution of the queue energy and buffer states. The singular perturbation parameter is approximated from the coefficients of the Taylor series expansion of the probability distribution. The impact of such queue perturbations on the transmission probability, given some transmission power values, is also analysed. Secondly, the inter-channel interference is modelled as a weakly coupled wireless system. Thirdly, Nash differential games are applied to derive optimal power control signals for each user subject to power constraints at each node. Finally, analytical models and numerical examples show the efficacy of the proposed model in solving power control problems in WBNs.
8
Content available remote Geometric optimal control and two-level dissipative quantum systems
Bonnard B., Sugny D.
Control and Cybernetics
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2009
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Vol. 38, no 4A
1053-1080
EN
The objective of this article is to present techniques of geometric time-optimal control developed to analyze the control of two-level dissipative quantum systems. Combined with numerical simulations they allow to compute the time-minimal control using a shooting method. The robustness with respect to initial conditions and dissipative parameters is also analyzed using a continuation method.
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