• 作者： Liou, Ching-Tien
• 中文摘要： 本文提供一種使用非正交函數展開之新技術,來求得狀態空間方程式之近似解,並應用於線性時變系統之識別; 即利用片段線性函數做為展開的基底,經由操作矩陣的運算,將參數估測問題化成代數式的形式。另外,將片段線性函數展開,應用於非線性系統之分析與最適控制方面的研究; 結果顯示非線性系統的動態方程式之解,被簡化成為具有迴遞公式的一組代數式之解; 因此,計算工作更為簡單方便。文中提供一些數值例來佐證本方法能有效的運作。
• 英文摘要： A new technique, which used a non-orthogonal polynomial function expansion to approximate the state-space equation, is proposed for the parameter identification of a linear time-varying system. The piecewise linear functions form the basis of the expansions, and the parameter estimation problem is reduced to an algebraic form by means of the operational matrix. Furthermore, application of the piecewise linear function to the system analysis and optimal control of the nonlinear systems also is studied. The solution of dynamic equations of the nonlinear systems is reduced to the solution of a set of algebraic equations with the recursive formula. Therefore the computational work is more simple and convenient. Numerical examples are given to demonstrate the usefulness of this approach.
• 中文關鍵字： 參數估計; 最適控制; 非正交函數; 片斷線性函數
• 英文關鍵字： Parameter Estimation; Optimal Control; Non-Orthogonal Function; Piecewise Linear Function