共查询到19条相似文献，搜索用时 640 毫秒
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离散系统最优控制中动态规划的神经网络算法 总被引：1，自引：0，他引：1
王彦保 《内蒙古科技与经济》2003,(9):61-62
本文对解决动态规划中最优路径的Hopfield神经网络的算法进行了改进，提出了应用该神经网络算法解决离散系统最优控制中动态规划问题，讨论了系统中状态、控制和终点均有约束情形的具体实现步骤。 相似文献
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最优控制理论可以作为科研院所规划发展的辅助量化决策工具，本文提出了一个简单的动态决策模型和在双重目标下最优控制的解析方法，最后分析了决策过程中应注意的一些问题。 相似文献
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主要研究Gauss伪谱法在最优控制问题中的应用。首先介绍了Gauss伪谱法的原理,然后证明了通过Gauss伪谱法离散了的NLP问题的KKT条件和通过Gauss伪谱法离散一般连续时间最优控制问题的一阶最优性条件是等价的,最后对具体最优控制问题进行Gauss伪谱法的实践。 相似文献
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研究了开放量子系统的状态转移问题.利用刘维尔超算符将其矩阵动力学模型转换为向量形式.给定一个耗散的量子系统的动力学模型,在一个随时变化的外部控制场中,以系统状态和目标状态的密度矩阵的误差平方作为性能指标,推导出改进的状态转移最优控制律.在数值仿真实验中,我们研究了一个热浴中的自旋1/2粒子系统在单个外部控制场作用下的动力学特性.在所提出的最优控制作用下,分别选择本征态、纯态和混合态作为系统的初始状态和目标状态.对此系统中状态转移的实验结果进行了性能对比分析. 相似文献
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本文将随机最优控制理论应用于钢管混凝土系杆拱桥吊轩张拉施工过程，建立了系杆拱桥吊杆张拉施工过程的随机最优控制模型和卡尔曼滤波系统。 相似文献
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本文介绍了伪谱法在最优控制问题中应用。该方法是基于正交多项式的伪谱方法,在选取恰当的配置点后,将连续系统转化为离散系统,然后利用非线性规划理论进行求解,转化的关键是如何选取配置点以及如何构造微分方程。 相似文献
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文章讨论了参数不确定统一混沌系统的最优控制问题。文章给出了系统的平衡点且分析了平衡点的稳定性,根据Pontryagin极小值原理为混沌系统设计一个状态反馈最优控制器,理论分析说明该控制器能将不稳定的平衡点镇定。通过对参数不确定统一混沌系统的数值模拟表明了该方法的有效性。 相似文献
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Jian-Xin Xu 《Journal of The Franklin Institute》2012,349(4):1445-1458
In this paper, the sliding mode control (SMC) method is integrated with a nonlinear suboptimal control method based on control Lyapunov function (CLF). According to the system nominal part, a CLF is first constructed in general to facilitate the nonlinear optimal system design and Sontag's formula is used in particular to generate a suboptimal controller. To take system uncertainties into account, the SMC mechanism is designed based on the CLF. By integration, the suboptimal control and SMC are made to function in a complementary manner. When the system state is far away from the equilibrium and the system nominal part is predominant, the nonlinear optimal control part will govern the system response as well as drive the system state approach the equilibrium in an optimal fashion. On the contrary, when approaching the equilibrium such that system perturbations become the main factor, the SMC will take over the control task to warrant the desired robustness property and achieve precise control. 相似文献
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Meng Zhang Ming-Gang Gan Jie Chen Zhong-Ping Jiang 《Journal of The Franklin Institute》2019,356(12):6087-6105
This paper focuses on the optimal control of a DC torque motor servo system which represents a class of continuous-time linear uncertain systems with unknown jumping internal dynamics. A data-driven adaptive optimal control strategy based on the integration of adaptive dynamic programming (ADP) and switching control is presented to minimize a predefined cost function. This takes the first step to develop switching ADP methods and extend the application of ADP to time-varying systems. Moreover, an analytical method to give the initial stabilizing controller for policy iteration ADP is proposed. It is shown that under the proposed adaptive optimal control law, the closed-loop switched system is asymptotically stable at the origin. The effectiveness of the strategy is validated via simulations on the DC motor system model. 相似文献
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人工神经网络在经济控制中的应用 总被引：3，自引：0，他引：3
本文运用二次函数最优控制理论建立经济系统优化控制模型,以一个宏观经济模型为例,用神经网络建立的模型和控制器对所关心的经济变量进行控制,给出了仿真结果。 相似文献
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《Journal of The Franklin Institute》2022,359(8):3444-3465
This contribution is concerned with the application of optimal control theories and methods to an ecosystem. There are four major ingredients. The first ingredient is to present an optimal control problem for an ecosystem including infection and competition. The second ingredient is the existence results, which assert that in a given Hilbert space the controlled system admits a unique strong solution and the optimal control problem has at least one optimal pair. The third, which is the main new ingredient of this paper, is a maximum principle for the optimal control problem. The first-order necessary optimality condition for the optimal control is established by employing dual techniques. It provides a theoretical basis for the design of the optimal control strategy. The fourth ingredient is an example and its numerical simulation, which further confirm the results of this paper. 相似文献
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《Journal of The Franklin Institute》2023,360(9):6296-6320
The objective of this article is to present an adaptive neural inverse optimal consensus tracking control for nonlinear multi-agent systems (MASs) with unmeasurable states. In the control process, firstly, to approximate the unknown state, a new observer is created which includes the outputs of other agents and their estimated information. The neural network is used to reckon the uncertain nonlinear dynamic systems. Based on a new inverse optimal method and the construction of tuning functions, an adaptive neural inverse optimal consensus tracking controller is proposed, which does not depend on the auxiliary system, thus greatly reducing the computational load. The developed scheme not only insures that all signals of the system are cooperatively semiglobally uniformly ultimately bounded (CSUUB), but also realizes optimal control of all signals. Eventually, two simulations provide the effectiveness of the proposed scheme. 相似文献
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The study aims to explore the optimal actuator switching scheme of observer-based event-triggered state feedback control for distributed parameter systems. The performance of distributed parameter systems is improved through the observer-based event-triggered control, in which the state feedback is updated only when a triggered event happens. In such an event-triggered mechanism, the event-based closed-loop system and minimum time interval between consecutive events are bounded. Based on finite horizon linear quadratic regulator (LQR) optimal control, the optimal switching algorithm is proposed based on the event-triggered mechanism during an unfixed time interval. Finally, the proposed scheme is verified through a simulation case. 相似文献
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In this paper, the optimal synchronization controller design problem for complex dynamical networks with unknown system internal dynamics is studied. A necessary and sufficient condition on the existence of the optimal control minimizing a quadratic performance index is given. The optimal control law consists of a feedback control and a compensated feedforward control, and the feedback control gain can be obtained by solving the well-known Algebraic Riccati Equation (ARE). Especially, in the presence of unknown system dynamics, a novel adaptive iterative algorithm using the information of system states and inputs is proposed to solve the ARE to get the optimal feedback control gain. Finally, a simulation example shows the effectiveness of the theoretical results. 相似文献
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A direct approach to path planning of a 2-DOFs (Degrees of Freedom) spherical robot based on Bellman?s dynamic programming (DP) is introduced. The robot moves in an environment with obstacles and employs DP to find optimal trajectory by minimizing energy and preventing obstacle collision. While other path planning schemes rely on pre-planned optimal trajectories and/or feedback control techniques, in this approach there is no need to design a control system because DP yields the optimal control inputs in a closed loop (feedback) form. In other words, after completing the DP table, the optimal control inputs are known for every state in the admissible region and the robot can move toward the final position without colliding with obstacles. This enables the robot to function well in semi- or even non-observable environments. Results from several simulated experiments show that the proposed approach is capable of finding an optimal path from any given position/orientation towards a predefined target in an environment with obstacles within the admissible region. The method is very promising compared to other path planning schemes. 相似文献
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Michael Basin Pablo Rodriguez-Ramirez Antonella Ferrara Dario Calderon-Alvarez 《Journal of The Franklin Institute》2012,349(4):1350-1363
This paper addresses the optimal control problem for a linear system with respect to a Bolza–Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional linear feedback control fails to provide a causal solution. Performance of the obtained optimal controller is verified in the illustrative example against the conventional LQ regulator that is optimal for the quadratic Bolza–Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control. 相似文献