Revisiting the LQR Problem of Singular Systems
文献类型：期刊论文
| 作者 | Komeil Nosrati; Juri Belikov; Aleksei Tepljakov; Eduard Petlenkov |
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2024 |
| 卷号 | 11期号:11页码:2236-2252 |
| 关键词 | DC motor optimal control penalized weighted regression power system quadratic regulator singular system |
| ISSN号 | 2329-9266 |
| DOI | 10.1109/JAS.2024.124665 |
| 英文摘要 | In the development of linear quadratic regulator (LQR) algorithms, the Riccati equation approach offers two important characteristics—it is recursive and readily meets the existence condition. However, these attributes are applicable only to transformed singular systems, and the efficiency of the regulator may be undermined if constraints are violated in nonsingular versions. To address this gap, we introduce a direct approach to the LQR problem for linear singular systems, avoiding the need for any transformations and eliminating the need for regularity assumptions. To achieve this goal, we begin by formulating a quadratic cost function to derive the LQR algorithm through a penalized and weighted regression framework and then connect it to a constrained minimization problem using the Bellman’s criterion. Then, we employ a dynamic programming strategy in a backward approach within a finite horizon to develop an LQR algorithm for the original system. To accomplish this, we address the stability and convergence analysis under the reachability and observability assumptions of a hypothetical system constructed by the pencil of augmented matrices and connected using the Hamiltonian diagonalization technique. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/59450]  |
| 专题 | 自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica |
| 推荐引用方式 GB/T 7714 | Komeil Nosrati,Juri Belikov,Aleksei Tepljakov,et al. Revisiting the LQR Problem of Singular Systems[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(11):2236-2252. |
| APA | Komeil Nosrati,Juri Belikov,Aleksei Tepljakov,&Eduard Petlenkov.(2024).Revisiting the LQR Problem of Singular Systems.IEEE/CAA Journal of Automatica Sinica,11(11),2236-2252. |
| MLA | Komeil Nosrati,et al."Revisiting the LQR Problem of Singular Systems".IEEE/CAA Journal of Automatica Sinica 11.11(2024):2236-2252. |
入库方式： OAI收割
来源：自动化研究所
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