【摘要】：針對標準Lyapunov函數(shù)在工業(yè)復(fù)雜系統(tǒng)預(yù)測控制的應(yīng)用中還存在控制約束力較差等問題,本文提出了一種基于非線性反饋控制優(yōu)化的Lyapunov函數(shù)模型。首先采用GB公式引入Lyapunov函數(shù),通過其變分方程來構(gòu)造Lyapunov函數(shù),同時可以將線性方程化為不同的等價系統(tǒng),然后采用連續(xù)映射對原函數(shù)的反饋控制能力進行優(yōu)化,將其轉(zhuǎn)換為線性賦范空間,擴大非線性仿射控制系統(tǒng)的鎮(zhèn)定問題,控制Ly Paunov函數(shù)的尋找范圍,最后將改進算法對某工業(yè)復(fù)雜系統(tǒng)進行預(yù)測控制的實例仿真。仿真實驗結(jié)果表明,本文提出的基于非線性反饋控制優(yōu)化的Lyapunov函數(shù)具有更好的約束性,能很好地對復(fù)雜工業(yè)系統(tǒng)進行預(yù)測控制。
[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.
【作者單位】： 江蘇食品藥品職業(yè)技術(shù)學(xué)院基礎(chǔ)教學(xué)部;
【分類號】：O231

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