Static Output Feedback Stabilization with hybrid H2/H∞ Performance for Uncertain Linear Discrete–Time Systems

• Main Authors: Ting-Wei Huang, 黃亭維
• Other Authors: Ching-Hsiang Lee
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/32571958083071544029

碩士 === 國立高雄應用科技大學 === 電機工程系博碩士班 === 102 === The problem of static output feedback (SOF) stabilization with hybrid H2/H∞ performance for uncertain linear discrete–time systems is studied in this thesis. Based on congruence transformation and linear matrix inequality (LMI) approach, a new condition is derived for the existence of controllers having hybrid H2/H∞performance and parameter uncertainty robustness. Due to the coupling of the unknown variables, the stability condition is bilinear and hence not easily tractable by standard optimization techniques. Therefore, the proposed design method is derided into two steps to circumvent the nonlinearity problem. In the first step, we can easily solve some LMI conditions because they are linear in the unknown variables and obtain the Lyapunov matrix. Then, we inject this matrix into the condition of the second step which becomes an input parameter for the second step and transforms the bilinear matrix inequality (BMI) condition into a linear matrix inequality (LMI). Finally, numerical examples are given to illustrate the effectiveness of the proposed results.