欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
针对无约束最优控制问题,建立求其近似解析解的微分变换法。对哈密顿正则方程组中状态方程、协态方程和控制方程构造基于初值的微分变换形式或基于终端的微分变换形式,将最优性条件化为相应的代数方程,得到最优控制问题的近似解析解。在特定条件下,对结构复杂的非线性最优控制问题,依据插值逼近原理,结合微分变换法,可构建离散型代数方程组得到其近似解析解。利用微分变换法将微分方程初边值问题和泛函优化问题构成的复杂系统化为易于求解的代数方程形式,简单可行,易于实现。最后,通过算例验证方法的有效性。
英文摘要：
The differential transform method used for solving the approximation analytic solution of the unconstrained optimal control problem is established.According to the state equation,costate equation and governing equation in the set of Hamilton regular equations,we first construct the differential transform form based on initial value or terminal station,by which the optimality condition is transformed into a corresponding algebraic equation,furthermore,the approximation analytic solution of the optimal control problem is obtained.In addition,to the nonlinear optimal control problem which is complex in structure,in particular condition,the discreteness set of algebraic equations can be constructed in light of the principle of approximation by interpolation and the differential transform method to obtain its approximation analytic solution.By using this method,the initial-boundary value problem of the differential equation and the complex system of the functional optimization problems are converted into algebraic equations which facilitate getting the solution,also are simple,feasible and easy to realize.Finally,the effectiveness of this method is verified by numerical examples.
同期刊论文项目
同项目期刊论文
Broadband three-dimensional diamond-shaped invisible cloaks composed of tetrahedral homogeneous bloc
Preparation and temperature dependence of electrostriction properties for PMN-based composite cerami
High Stability of Dielectric Permittity for K(0.5)Na(0.5)NbO(3)-Based Lead Free Piezoelectric Cerami
Experimental Verification of Left-Handed Metamaterials Composed of Coplanar Electric and Magnetic Re
The effects of Bi(Mg(2/3)Nb(1/3))O(3) on piezoelectric and ferroelectric properties of K(0.5)Na(0.5)
Effects of A-site non-stoichiometry on the structural and electrical properties of 0.96K(0.5)Na(0.5)
Wide-angle and polarization-independent three-dimensional magnetic metamaterials with and without su
All-dielectric left-handed metamaterial based on dielectric resonator: design, simulation and experi
THREE-DIMENSIONAL METAMATERIAL MICROWAVE ABSORBERS COMPOSED OF COPLANAR MAGNETIC AND ELECTRIC RESONA
期刊信息
位置：