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提出了一种滑模等式约束的广义预测控制方法.该方法将广义预测控制与离散滑模控制结合起来用于具有大惯性、大时滞、时变和非线性的热力站换热机组的供水温度控制系统中,并采用柔化输入信号的方法,可避免广义预测控制算法中的矩阵求逆,有效缩短了预测时域,减小计算量.最后给出了稳定性分析并通过仿真验证了该方法的有效性. 相似文献
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广义时滞系统的时滞相关型H∞控制 总被引:1,自引:0,他引:1
研究了广义时滞系统的时滞相关型H∞控制问题.利用一个新构造的增广一离散化李亚普诺夫泛函并结合自由权矩阵方法,给出了使得系统正则、无脉冲、稳定且具有给定H∞性能界的时滞相关型有界实引理(BRL).在所得BRL基础上,得到了系统H∞状态反馈控制律的一个直接的设计方法.所给结果均以严格线性矩阵不等式( LMI)表示.数值实例表明了结果的有效性和较小保守性. 相似文献
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针对一类具有非线性扰动的不确定广义时滞系统,研究了鲁棒最优H∞控制问题.利用矩阵不等式和引入自由矩阵的方法,得到闭环系统正则、无脉冲、渐近稳定的且具有H∞范数有界的时滞相关充分条件.基于相应的线性矩阵不等式可行解,给出广义系统的H∞控制律,并且给出的数值仿真例子说明了方法的有效性。 相似文献
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针对具有空间依赖耦合系数的分数阶反应扩散系统, 利用反步法设计了基于观测器的边界输出反馈控制器, 证明了观测增益和控制增益核函数矩阵方程的适定性. 针对误差系统和输出反馈的闭环系统, 利用分数阶Lyapunov方法分析了系统的Mittag-Leffler稳定性, 且利用Wirtinger不等式改进了耦合系统稳定的条件. 当系统具有空间依赖的耦合系数时, 难以求得控制增益和观测增益核函数的解析解, 为此, 给出了核函数偏微分方程的数值解方法. 数值仿真验证了理论结果. 相似文献
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研究了时滞不确广义系统的时滞相关非脆弱H∞保成本控制器的设计问题。利用Lyapunov的稳定性理论和最近建立的积分不等式方法,得到了时滞不确定广义系统在非脆弱控制器作用下不仅内部渐近稳定,而且具有给定的H∞扰动抑制水平的时滞相关条件,以及相应的成本函数上界。假定其中的不确定项是范数有界的,但不需要满足严格的匹配条件.针对控制器增益具有加法式摄动和乘法式摄动两种情形,分别给出了非脆弱H∞保成本控制器的设计方法。这一方法不需要参数调节,利用Matlab的LMI工具箱求解方便。最后,数值仿真实例说明了所给方法的有效性。 相似文献
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对离散广义系统,考虑了关于二次型供给率严格耗散控制问题.建立了严格耗散与扩展严格正实之间的等价性.利用线性矩阵不等式(LMI),给出了离散广义系统严格耗散的充分必要条件,并着重推导了其成立的严格LMI条件.针对输入向量维数等丁状态向量维数的系统,分别利用非严格LMI及严格LMI,讨论了状态反馈下的严格耗散控制问题,并给出控制器的设计方法.也讨论了输入向量维数小于状态向量维数的情况.最后通过仿真算例说明所给方法的有效性和普遍性,同时显示了严格LMI条件在耗散控制问题中,比非严格LMI具有的优势. 相似文献
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研究一类同时具有比例收获和常量收获的近远海渔业系统的动力学行为和优化控制问题。在种群发展中近海鱼群和远海鱼群进行连续迁徙扩散,为了使得一个收获周期内有最大的经济净收益,应该研究制定合理的收获策略。利用Pontryagin极值原理和一些分析技巧,获得了最优收获策略,得到了收益的具体表达式。 相似文献
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V. V. Akimenko A. G. Nakonechnyi O. Yu. Trofimchuk 《Cybernetics and Systems Analysis》2007,43(6):838-847
An initial-boundary-value problem for a system of degenerate parabolic integro-differential equations is considered. The sufficient
conditions for the existence and uniqueness of its generalized solution and for the existence of at least one optimal control
for a given performance functional are obtained. A stable numerical solution to the initial-boundary-value problem is derived
for a locally one-dimensional case and conditions are formulated for constructing a stable numerical algorithm of the optimal
control problem on a class of piecewise-smooth control functions.
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 90–102, November–December 2007. 相似文献
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Moulay Rchid Sidi Ammi 《International journal of control》2013,86(11):1789-1801
We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e. in studying the heat transfer in the resistor device whose electrical conductivity is strongly dependent on the temperature. Existence of an optimal control is proved. The optimality system consisting of the state system coupled with adjoint equations is derived, together with a characterisation of the optimal control. Uniqueness of solution to the optimality system, and therefore, the uniqueness of the optimal control, is established. The last part is devoted to numerical simulations. 相似文献
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This paper deals with a numerical method for solving variable-order fractional optimal control problem with a fractional Bolza cost composed as the aggregate of a standard Mayer cost and a fractional Lagrange cost given by a variable-order Riemann–Liouville fractional integral. Using the integration by part formula and the calculus of variations, the necessary optimality conditions are derived in terms of two-point variable-order boundary value problem. Operational matrices of variable-order right and left Riemann–Liouville integration are derived, and by using them, the two-point boundary value problem is reduced into the system of algebraic equations. Additionally, the convergence analysis of the proposed method has been considered. Moreover, illustrative examples are given to demonstrate the applicability of the proposed method. 相似文献
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V. V. Skopetskii O. A. Marchenko T. A. Samoilenko 《Cybernetics and Systems Analysis》2008,44(4):524-536
A mixed initial-boundary-value problem for the nonlinear equations describing the dynamic consolidation of water-saturated
soils is considered. The error of a time-continuous approximate generalized solution is estimated using the finite-element
method.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 73–88, July–August 2008. 相似文献
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Rohit Patel V. Vijayakumar Juan J. Nieto Shimpi Singh Jadon Anurag Shukla 《Asian journal of control》2023,25(3):2113-2121
The optimal control problem consists of a performance index subject to a set of differential equations that describes the path of the control and state variables. The main aim of this article is to prove the existence and uniqueness of a mild solution, optimal control, and time-optimal control of a mixed Volterra–Fredholm-type third-order dispersion system. By applying the strongly continuous semigroup theory and the Banach fixed-point theorem, we prove the existence and uniqueness of the considered system. The optimal control results are proved by using Mazur's lemma, Gronwall's inequality, and the minimizing sequence technique. The discussion on the time-optimal control of the third-order dispersion system is also presented. 相似文献
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本文讨论了一类具有尺度结构的非线性时变害鼠扩散模型的适定性及最优不育控制问题. 状态系统由二阶偏微分–积分方程描述, 此系统有一种重要的特殊情形, 即死亡率分为自然死亡率和额外死亡率, 系统的解关于尺度和空间位置可分离, 从而将系统分为两个子系统, 利用比较原则和不动点定理证明了变量分离型解的存在唯一性和非负有界性. 本文运用Mazur定理证明了最优策略的存在性, 导出共轭系统并借助凸集的切锥–法锥技巧给出了最优策略的必要性条件, 为模型的实际应用奠定了理论基础. 最后, 采用向后差分格式和追赶法分别对子系统的解进行了数值模拟. 相似文献
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A model of competitive innovation diffusion is considered. The model is based on the Lotka-Volterra system and an initial-boundary
problem for a system of quasilinear parabolic equations. The maximum principle is proved for the problem of diffusion of two
competitive innovations, and sufficient conditions of existence of optimum control are obtained for the system. A numerical
algorithm is constructed for solving optimum control problems, and numerical results for a model example are presented.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 120–133, July–August 2008. 相似文献
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This paper is concerned with partial-information mixed optimal stochastic continuous–singular control problem for mean-field stochastic differential equation driven by Teugels martingales and an independent Brownian motion, where the Teugels martingales are a family of pairwise strongly orthonormal martingales associated with Lévy processes. The control variable has two components; the first being absolutely continuous, and the second singular. Partial-information necessary and sufficient conditions of optimal continuous–singular control for these mean-field models are investigated. As an illustration, this paper studies a partial-information linear quadratic control problem of mean-field type involving continuous–singular control. 相似文献
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V. V. Skopetskii O. A. Marchenko T. A. Samoilenko 《Cybernetics and Systems Analysis》2009,45(4):562-574
A discrete approximate generalized solution is derived for a nonlinear differential model of the dynamics of two-phase soil
media and its convergence is estimated for the corresponding generalized solution in the space W
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1 (Ω).
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 69–80, July–August 2009 相似文献