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非线性二次最优控制问题的插值系数混合有限元法收敛性
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作者 刘艳萍 熊之光 《湘南学院学报》 2014年第5期15-19,共5页
研究了用混合有限元法逼近由非线性椭圆方程控制的一般凸最优控制问题,并将插值系数的思想用于问题的非线性项用处理,得到了一种简单而高效的数值方法——插值系数混合有限元法,并对状态和控制变量分别推导出了其最优阶的先验误差估计.
关键词 非线性最优控制问题 插值系数法 混合有限元法 先验误差估计
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非线性椭圆最优控制问题的谱方法研究
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作者 程平 《佛山科学技术学院学报(自然科学版)》 CAS 2021年第1期66-71,共6页
主要是用谱方法解决非线性椭圆最优控制问题。相较于线性椭圆最优控制问题,其难点在于非线性项的处理。首先,通过变分法得到相应问题的变分形式,然后,通过相关文献得到非线性最优控制问题的最优性条件。用勒让德多项式构造多项式空间,... 主要是用谱方法解决非线性椭圆最优控制问题。相较于线性椭圆最优控制问题,其难点在于非线性项的处理。首先,通过变分法得到相应问题的变分形式,然后,通过相关文献得到非线性最优控制问题的最优性条件。用勒让德多项式构造多项式空间,对变分问题在勒让德多项式空间进行离散,并得出新的最优性条件。在知道控制变量和共轭状态变量之间的关系后,可以证明控制变量是无穷可谓的。利用相关文献提出的辅助系统得到辅助方程,然后通过辅助方程逐步推出先验误差估计,最后给出数值例子。 展开更多
关键词 非线性最优控制问题 Legendre-Galerkin谱方法 先验误差估计
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非线性抛物最优控制问题插值系数混合有限元解的先验误差估计 被引量:1
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作者 曹龙舟 鲁祖亮 李林 《云南民族大学学报(自然科学版)》 CAS 2017年第4期299-305,共7页
采用插值系数的思想去处理方程中的非线性项,建立了非线性抛物最优控制问题插值系数混合有限元的离散格式,对状态方程和对偶状态方程利用最低阶的Raviart-Thomas混合有限元逼近,控制变量利用分片常函数逼近,应用一些偏微分方程混合有限... 采用插值系数的思想去处理方程中的非线性项,建立了非线性抛物最优控制问题插值系数混合有限元的离散格式,对状态方程和对偶状态方程利用最低阶的Raviart-Thomas混合有限元逼近,控制变量利用分片常函数逼近,应用一些偏微分方程混合有限元的误差估计结果,得到状态变量和控制变量逼近解的最优阶先验误差估计. 展开更多
关键词 非线性抛物最优控制问题 插值系数混合有限元方法 先验误差估计
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Optimal design of coordination control strategy for distributed generation system
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作者 王爱华 Norapon Kanjanapadit 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第1期51-56,共6页
This paper presents a novel design procedure for optimizing the power distribution strategy in distributed generation system. A coordinating controller, responsible to distribute the total load power request among mul... This paper presents a novel design procedure for optimizing the power distribution strategy in distributed generation system. A coordinating controller, responsible to distribute the total load power request among multiple DG units, is suggested based on the conception of hierarchical control structure in the dynamic system. The optimal control problem was formulated as a nonlinear optimization problem subject to set of constraints. The resulting problem was solved using the Kuhn-Tucker method. Computer simulation results demonstrate that the proposed method can provide better efficiency in terms of reducing total costs compared to existing methods. In addition, the proposed optimal load distribution strategy can be easily implemented in real-time thanks to the simplicity of closed-form solutions. 展开更多
关键词 distributed generation coordination control strategy Kuhn-Tucker method
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Bellman Equation for Optimal Processes with Nonlinear Multi-Parametric Binary Dynamic System
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作者 Yakup H. Hacl Kemal Ozen 《Computer Technology and Application》 2012年第1期84-87,共4页
A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the pro... A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the process are Boolean functions, the optimal control problem related to the process can be solved by relating between the transfer functions and the objective functional. An analogue of Bellman function for the optimal control problem mentioned is defined and consequently suitable Bellman equation is constructed. 展开更多
关键词 Bellman equation bellman function galois field shift operator nonlinear multi-parametric binary dynamic system
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A novel policy iteration based deterministic Q-learning for discrete-time nonlinear systems 被引量:8
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作者 WEI QingLai LIU DeRong 《Science China Chemistry》 SCIE EI CAS CSCD 2015年第12期143-157,共15页
In this paper, a novel iterative Q-learning algorithm, called "policy iteration based deterministic Qlearning algorithm", is developed to solve the optimal control problems for discrete-time deterministic no... In this paper, a novel iterative Q-learning algorithm, called "policy iteration based deterministic Qlearning algorithm", is developed to solve the optimal control problems for discrete-time deterministic nonlinear systems. The idea is to use an iterative adaptive dynamic programming(ADP) technique to construct the iterative control law which optimizes the iterative Q function. When the optimal Q function is obtained, the optimal control law can be achieved by directly minimizing the optimal Q function, where the mathematical model of the system is not necessary. Convergence property is analyzed to show that the iterative Q function is monotonically non-increasing and converges to the solution of the optimality equation. It is also proven that any of the iterative control laws is a stable control law. Neural networks are employed to implement the policy iteration based deterministic Q-learning algorithm, by approximating the iterative Q function and the iterative control law, respectively. Finally, two simulation examples are presented to illustrate the performance of the developed algorithm. 展开更多
关键词 adaptive critic designs adaptive dynamic programming approximate dynamic programming Q-LEARNING policy iteration neural networks nonlinear systems optimal control
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L∞-ESTIMATES OF MIXED FINITE ELEMENT METHODS FOR GENERAL NONLINEAR OPTIMAL CONTROL PROBLEMS
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作者 Yanping CHEN Zuliang LU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第1期105-120,共16页
This paper investigates L∞--estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using mixed finite element methods. The state... This paper investigates L∞--estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. The authors derive L∞--estimates for the mixed finite element approximation of nonlinear optimal control problems. Finally, the numerical examples are given. 展开更多
关键词 L∞--error estimates mixed finite element methods nonlinear elliptic equations optimalcontrol problems pointwise control constraints.
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