Optimal control of linear time-varying systems using the Chebyshev wavelets (a comparative approach)

Saeed Radhoush, M. Samavat, M. Vali
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引用次数: 10

Abstract

This paper extends the application of continuous Chebyshev wavelet expansions to find the optimal solution of linear time-varying systems using two different approaches. By using the product of two time functions together with the operational matrix of integration, the system of state equations are changed into a set of algebraic equations which can be solved using a digital computer. In addition, the Chebyshev wavelets are more successful to find the optimal solution of linear time-varying systems when compared with the other existing mentioned algorithms. Finally, the main feature of this paper over similar possible works is that the use of the Lagrange multipliers approach gives more accurate results in comparison with the results of the Riccati approach. The given examples support these claims.
线性时变系统的切比雪夫小波最优控制(一种比较方法)
本文用两种不同的方法扩展了连续切比雪夫小波展开在线性时变系统求最优解中的应用。利用两个时间函数的乘积和积分运算矩阵,将状态系统方程转化为一组可在数字计算机上求解的代数方程。此外,与已有算法相比,切比雪夫小波更能成功地找到线性时变系统的最优解。最后,本文在类似可能的作品中的主要特点是,与里卡第方法的结果相比,拉格朗日乘子方法的使用给出了更准确的结果。给出的例子支持这些说法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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