Sensitivity Minimization with High Order Derivative Interpolation Constraints

• Main Authors: Wu, Jwo-Yuh, 吳卓諭
• Other Authors: Lin Ching-An
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/17321582769864130606

碩士 === 國立交通大學 === 電機與控制工程學系 === 86 === In this thesis we consider sensitivity minimization problem for plants containing a nonminimum phase zero with multiplicity . Stability requirement in this case imposes high order derivative interpolation constraints on the sensitivity function. Based on an interpretation of Pick*s Theorem, we proposed two methods to compute a lower bound on the achievable weighted sensitivity. We show that the lower bound is tight by using the result of the Carathe*odory problem. We extend the result to plants containing a real unstable pole. The analytic nature of our results allow a future study on how the minimal weighted sensitivity increases as the multiplicity of nonminimum phase zero increases.