共查询到20条相似文献,搜索用时 15 毫秒
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二级倒立摆的二次型最优控制研究 总被引:8,自引:2,他引:8
倒立摆系统以其自身的不稳定性而难以控制,也因此成为自动控制实验中验证控制策略优劣的极好的实验装置。针对二级倒立摆系统的平衡控制问题,对其进行数学建模,应用二次型最优控制理论设计了控制器。仿真结果表明,二次型最优控制对于典型非线性自不稳定系统有着很好的控制能力。 相似文献
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This paper presents a novel computational approach to deal with optimal multivariable control problems using a control vector parameterization approach with multiple time grids, where each of the control variables has its own time grid of parametrization. Both the control parameters and time nodes in the grid partition are treated directly as variables to be optimized. Based on the derived relationship between the gradients of time nodes and the ones of interval lengths, the gradient formulae for parameters are presented. Compared with the existing approaches, for which all the control variables are parameterized on the same time grid, the proposed method is more general and flexible. To illustrate, two numerical cases are tested, and the results demonstrate that fewer parameters are needed to achieve the same level of optimization. 相似文献
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New optimal control problems for distributed systems described by initial boundary-value problems are considered in the paper for an elliptic-parabolic equation with conjugation conditions and quadratic cost functions. Theorems of existence of a unique optimal control are proved for all the considered cases. 相似文献
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A. V. Plotnikov 《Cybernetics and Systems Analysis》2002,38(5):772-782
This paper deals with rapidity and rendezvous problems and with problems with multi-valued and vector quality criteria for objects whose behavior is described by linear differential inclusions that contain controls. 相似文献
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New optimal control problems are constructed and considered for distributed systems whose states are described by Neumann boundary-value problems with conjugation conditions and non-unique solutions. The paper proposes accurate higher-order computation schemes for discretization of optimization problems for the case where a control set coincides with a full Hilbert space. 相似文献
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提出一种解常微分方程最优控制问题的自适应拟谱方法.对状态函数和控制函数使用不同次数的多项式逼近.设计了一个自适应算法决定不同的次数,并给出了理论分析.数值算例比较了本文方法与一种常用的拟谱方法. 相似文献
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For a given initial state, a constrained infinite horizon linear quadratic optimal control problem can be reduced to a finite dimensional problem [12]. To find a conservative estimate of the size of the reduced problem, the existing algorithms require the on‐line solutions of quadratic programs [10] or a linear program [2]. In this paper, we first show based on the Lyapunov theorem that the closed‐loop system with a mixed constrained infinite horizon linear quadratic optimal control is exponentially stable on proper sets. Then the exponentially converging envelop of the closed‐loop trajectory that can be computed off‐line is employed to obtain a finite dimensional quadratic program equivalent to the mixed constrained infinite horizon linear quadratic optimal control problem without any on‐line optimization. The example considered in [2] showed that the proposed algorithm identifies less conservative size estimate of the reduced problem with much less computation. 相似文献
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Ulrich Brandt-Pollmann Ralph Winkler Sebastian Sager Ulf Moslener Johannes P. Schlöder 《Computational Economics》2008,31(2):181-206
We investigate a class of optimal control problems that exhibit constant exogenously given delays in the control in the equation
of motion of the differential states. Therefore, we formulate an exemplary optimal control problem with one stock and one
control variable and review some analytic properties of an optimal solution. However, analytical considerations are quite
limited in case of delayed optimal control problems. In order to overcome these limits, we reformulate the problem and apply
direct numerical methods to calculate approximate solutions that give a better understanding of this class of optimization
problems. In particular, we present two possibilities to reformulate the delayed optimal control problem into an instantaneous optimal control problem and show how these can be solved numerically with a state-of-the-art direct method by applying Bock’s
direct multiple shooting algorithm. We further demonstrate the strength of our approach by two economic examples.
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宏观经济管理中一类系统的最优控制问题研究 总被引:1,自引:0,他引:1
把宏观经济系统抽象成由状态方程相同但各自状态不同的系统构成的组合系统,运用分布参数系统的建模方法建立了数学模型,并研究了系统的最优控制问题。最后给出了这种建模与优化方法在最优广告策略中的一个应用例子。 相似文献
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New problems of optimal control of distributed systems described by a hyperbolic equation with conjugation conditions and a quadratic cost function are considered in the paper. Unique optimal control existence theorems are proved for all the analyzed cases. 相似文献
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针对伺服系统二次型最优控制存在的问题,提出了基于模糊神经网络补偿的二次型最优控制方法,该控制方法利用模糊神经网络的实时学习能力,能够及时补偿被控对象建模不准确、参数摄动和外界干扰等非线性因素对控制系统性能的影响,增强控制系统的自适应能力,有效提高控制系统的跟踪性能和抗干扰鲁棒性能.仿真试验结果验证了该控制方法的有效性. 相似文献
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Several approaches to the solution of inventory control problems are considered. These approaches are designed to find optimal
strategies, control parameters for a given strategy, and probability estimates of resource supply.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 101–106, July–August 2005. 相似文献
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《国际计算机数学杂志》2012,89(7):883-895
A new Chebyshev finite difference method for solving class of optimal control problem is proposed. The algorithm is based on Chebyshev approximations of the derivatives arising in system dynamics. In the performance index, we use Chebyshev approximations for integration. The numerical examples illustrate the robustness, accuracy and efficiency of the proposed technique. 相似文献
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A recurrent neural network is introduced for the N-stage optimal control problem. The new neural network is based on a reformulation of the original optimal control problem and the gradient method. The simulation results on two examples indicate that the new neural network is quite effective. 相似文献
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New multicomponent soil media ecology problems and respective optimal control problems are considered in the paper. Existence theorems for the unique optimal control are proved for all the cases considered. Computation algorithms of high-accuracy discretization are constructed for some new classes of problems with discontinuous solutions. 相似文献