On critical stability of discrete-time adaptive nonlinear control
文献类型：期刊论文
| 作者 | Guo, L |
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 1997-11-01 |
| 卷号 | 42期号:11页码:1488-1499 |
| 关键词 | adaptive control discrete-time global stability instability least squares nonlinear system random noises |
| ISSN号 | 0018-9286 |
| 英文摘要 | In this paper, we examine the global stability and instability problems for a class of discrete-time adaptive nonlinear stochastic control, The systems to be controlled may exhibit chaotic behavior and are assumed to be linear in unknown parameters hut nonlinear in output dynamics, which are characterized by a nonlinear function [say, f(x)]. It is found and proved that in the scalar parameter case there is a critical stability phenomenon for least squares (LS)-based adaptive control systems. To be specific, let the growth rate of f(x) be f(x) = O(parallel to x parallel to(b)) with b greater than or equal to 0, then it is found that b = 4 is a critical value for global stability, i.e., the closed-loop adaptive system is globally stable if b < 4 and is unstable in general if b greater than or equal to 4. As a consequence, we find an interesting phenomenon that the linear case does not have: for some LS-based certainty equivalence adaptive controls, even if the LS parameter estimates are strongly consistent, the closed-loop systems may still be unstable, This paper also indicates that adaptive nonlinear stochastic control that is designed based on, e.g., Taylor expansion (or Weierstrass approximation) for nonlinear models, may not be feasible in general. |
| 语种 | 英语 |
| WOS记录号 | WOS:A1997YF51800001 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28988]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, L |
| 作者单位 | CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA |
| 推荐引用方式 GB/T 7714 | Guo, L. On critical stability of discrete-time adaptive nonlinear control[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,1997,42(11):1488-1499. |
| APA | Guo, L.(1997).On critical stability of discrete-time adaptive nonlinear control.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,42(11),1488-1499. |
| MLA | Guo, L."On critical stability of discrete-time adaptive nonlinear control".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 42.11(1997):1488-1499. |
入库方式： OAI收割
来源：数学与系统科学研究院
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