Robust stability of interval polynomials and matrices for linear systems
文献类型：会议论文
| 作者 | Li XH(李先宏) ; Yu HB(于海斌); Yuan MZ(苑明哲); Wang, Jin
|
| 出版日期 | 2010 |
| 会议名称 | 30th IASTED Conference on Modelling, Identification, and Control, AsiaMIC 2010 |
| 会议日期 | November 24-26, 2010 |
| 会议地点 | Phuket, Thailand |
| 关键词 | Computational complexity Continuous time systems Control system stability Discrete time control systems Identification (control systems) Linear matrix inequalities Linear systems Lyapunov functions Mathematical transformations Polynomials Real time systems Robustness (control systems) Speech recognition Uncertainty analysis |
| 页码 | 138-147 |
| 通讯作者 | 于海斌 |
| 中文摘要 | This paper addresses on the robust stability problem of interval polynomials and matrices of the continuous-time linear system (C-TLS) and discrete-time linear system (D-TLS) that contain the real uncertain parameters. The robust stability of the interval polynomials and matrices can be determined by three different robust stability criterions that check the global minimum of each order Hurwitz determinant or check the global minimum of each element in first column of Routh array. The linear matrix inequality (LMI) methods and parameters dependent Lyapunov functions (PDLF) methods are often used to effectively determine the robust stability of the interval matrices and polynomials, and in this paper, these robust criterions are also effective to determine the stability of the interval matrices and polynomials. The robust stability of the interval matrices can be transformed into the stability of an interval polynomial too. The third robust criterion can reduce the number of the optimization objectives, and as well as the computational complexity when determining the robust stability of the interval polynomials and matrices. Through applying the bilinear transformation, the three robust criterions can be extended into the interval polynomials and matrices of discrete-time linear system. Different examples of interval polynomials and matrices are studied to show the effectiveness and accurateness of the robust stability checking methods. |
| 收录类别 | EI |
| 产权排序 | 1 |
| 会议录 | Proceedings of the IASTED International Conference on Modelling, Identification and Control
 |
| 会议录出版者 | Acta Press |
| 会议录出版地 | Calgary, AB |
| 语种 | 英语 |
| ISSN号 | 1025-8973 |
| ISBN号 | 978-0-88986-857-1 |
| 源URL | [http://ir.sia.cn/handle/173321/8405]  |
| 专题 | 沈阳自动化研究所_工业信息学研究室 |
| 推荐引用方式 GB/T 7714 | Li XH,Yu HB,Yuan MZ,et al. Robust stability of interval polynomials and matrices for linear systems[C]. 见:30th IASTED Conference on Modelling, Identification, and Control, AsiaMIC 2010. Phuket, Thailand. November 24-26, 2010. |
入库方式： OAI收割
来源：沈阳自动化研究所
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