非线性反馈控制优化的Lyapunov函数模型
发布时间：2018-07-29 10:17
【摘要】：针对标准Lyapunov函数在工业复杂系统预测控制的应用中还存在控制约束力较差等问题,本文提出了一种基于非线性反馈控制优化的Lyapunov函数模型。首先采用GB公式引入Lyapunov函数,通过其变分方程来构造Lyapunov函数,同时可以将线性方程化为不同的等价系统,然后采用连续映射对原函数的反馈控制能力进行优化,将其转换为线性赋范空间,扩大非线性仿射控制系统的镇定问题,控制Ly Paunov函数的寻找范围,最后将改进算法对某工业复杂系统进行预测控制的实例仿真。仿真实验结果表明,本文提出的基于非线性反馈控制优化的Lyapunov函数具有更好的约束性,能很好地对复杂工业系统进行预测控制。
[Abstract]:In order to solve the problem of poor control constraint in the application of standard Lyapunov function in the predictive control of industrial complex systems, a Lyapunov function model based on nonlinear feedback control optimization is proposed in this paper. Firstly, the Lyapunov function is introduced into the GB formula and the Lyapunov function is constructed by its variational equation. At the same time, the linear equation can be transformed into different equivalent systems, and then the feedback control ability of the original function can be optimized by continuous mapping. It is transformed into a linear normed space, the stabilization problem of nonlinear affine control system is extended, the search range of Ly Paunov function is controlled, and the example simulation of predictive control for a complex industrial system is given. The simulation results show that the optimized Lyapunov function based on nonlinear feedback control has better constraint and can be used for predictive control of complex industrial systems.
【作者单位】： 江苏食品药品职业技术学院基础教学部;
【分类号】：O231
[Abstract]:In order to solve the problem of poor control constraint in the application of standard Lyapunov function in the predictive control of industrial complex systems, a Lyapunov function model based on nonlinear feedback control optimization is proposed in this paper. Firstly, the Lyapunov function is introduced into the GB formula and the Lyapunov function is constructed by its variational equation. At the same time, the linear equation can be transformed into different equivalent systems, and then the feedback control ability of the original function can be optimized by continuous mapping. It is transformed into a linear normed space, the stabilization problem of nonlinear affine control system is extended, the search range of Ly Paunov function is controlled, and the example simulation of predictive control for a complex industrial system is given. The simulation results show that the optimized Lyapunov function based on nonlinear feedback control has better constraint and can be used for predictive control of complex industrial systems.
【作者单位】： 江苏食品药品职业技术学院基础教学部;
【分类号】：O231
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