Robust Pole Assignment for Structured Uncertain Systems

• Main Authors: Shyu, Goang-Yau, 徐廣堯
• Other Authors: Prof. Chung, Hung-Yuan
• Format: Others
• Language: en_US
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/24802193056068392618

碩士 === 國立中央大學 === 電機工程研究所 === 83 === It is important to condiser the pole assignment problem in some specified regions and examine the robustness pertur- bation bounds. Many people are still involved in the resear- ch of the change of the system's structure or offer some algorithms to modify the positive definite matrix Q of the Lyapunov equation to enhance the robustness perturbation bound or find a new method to analyze the eigenvalue assignment problem. We take account not only of stability robustness but also certain types of performance robustness. Based on the Lyapunov stability theorem and the concept of Lemma 1, we wish this thesis would make a comprehensive discussion of the robust pole assignment problem and be useful in the future research. Some systems could be stable by external in some speci- fic condition, but this does not mean that it would be stable forever. These dynamic system may be subjected to parameter perturbations. These perturbations in the system matrix can arise beacuse of change in operating conditions or data errors, etc. This may cause the system to be unstable. Except for the problem we have mentioned above, to improve the robustness perturbation bounds to be less conservative than the existing ones is als very improtant. Here we also want to know that how can we estimate the allowable perturbation bounds without solving the Lyapunov equation but just by considering the nominal system matrix and the positive definite matrix Q. We hope that after reading this thesis, the pole assignment problem can be talked over more widely can be checked up more easily and be calculated more fastly and tolerate more perturbations.