Pole Placement for a Scalar System with Two Delay

• Main Authors: Chen, Chung-Yi, 陳忠義
• Other Authors: Huang, Huang-Nan
• Format: Others
• Language: en_US
• Published: 2018
• Online Access: http://ndltd.ncl.edu.tw/handle/36y46r

碩士 === 東海大學 === 應用數學系 === 106 === The Lambert W function has many applications in the fields of pure and applied mathematics as well as physics and engineering. In particular, differential equations which represent time delay systems are employed to stability analysis and controller synthesis in the modern control theory. The main target of this study is to probe the stability of time delay systems and then to place the system's poles to desire locations. Firstly, we discuss how to solute the characteristic equation generated from a single delay system via Lambert W function, and expand further to two-lag linear delay differential equations. Since the positions of eigenvalues influence stability, the problem of delay systems with single or two delays via eigenvalue assignment are then considered. Finally, the pole placement problem is then solved with considerable controller to drive the delay system to have desire response implied by the location of system poles.