Robust Stabilization Bounds of Singular Perturbation Systems and Its Application to Active Suspension System

• Main Authors: Deng-Sharng Sheu, 許登上
• Other Authors: Tzuu-Hseng S. Li
• Format: Others
• Language: zh-TW
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/28361103884435160368

碩士 === 國立成功大學 === 電機工程研究所 === 82 === In this thesis, a state space approach is investigated to determine the exact upper bound of singularly perturbed dis- crete systems. In this method, the singular pertuebed para- meter is treated as structure uncertainty. The stability bounds for the two-type discrete singular perturbed systems ( slow sampling rate and fast sampling rate systems ) have been determined via the Kronecker product and the Bialternate product techniques. Compared with present literature, the main difference is that no Nyquist plot is needed. The second topic of this thesis is to examine the robust stability of regular perturbation in the discrete singular perturbation systems. A sufficient condition is derived and the so-called " inverse " problem is solved in these systems when singular perturbation parameter is supposed to be known in advance. Next, an algorithm is proposed to acquire the stability range of the pencils matrix when the nominal system is unstable. The algorithm is based on the fact that the set of nonzeros eigenvalues of Kronecker sum contains the information of critical values on stability. Several application such as the the bilinear system, the high gain system and the output feedbak system is utilized to demonstrate the effectiveness of the proposed scheme. Finally, the singular perturbation methodology is employed to test the stability of the passive suspension system. The upper bound of the resulting closed- system is also caculated.