A Linear Quadratic Controller Design Incorporating a Parametric Sensitivity Constraint
文献类型：期刊论文
| 作者 | Mohamed Yagoubi1,2 |
| 刊名 | International Journal of Automation and Computing
 |
| 出版日期 | 2019 |
| 卷号 | 16期号:4页码:553-562 |
| 关键词 | Linear quadratic control parametric uncertainties trajectory sensitivity non-standard Riccati equation Lur'e matrix equations linear time invariant (LMI) particle swarm optimization. |
| ISSN号 | 1476-8186 |
| DOI | 10.1007/s11633-016-1048-5 |
| 英文摘要 | The purpose of this paper is to propose a synthesis method of parametric sensitivity constrained linear quadratic (SCLQ) controller for an uncertain linear time invariant (LTI) system. System sensitivity to parameter variation is handled through an additional quadratic trajectory parametric sensitivity term in the standard LQ criterion to be minimized. The main purpose here is to find a suboptimal linear quadratic control taking explicitly into account the parametric uncertainties. The paper main contribution is threefold: 1) A descriptor system approach is used to show that the underlying singular linear-quadratic optimal control problem leads to a non-standard Riccati equation. 2) A solution to the proposed control problem is then given based on a connection to the so-called Lur0e matrix equations. 3) A synthesis method of multiple parametric SCLQ controllers is proposed to cover the whole parametric uncertainty while degrading as less as possible the intrinsic robustness properties of each local linear quadratic controller.Some examples are presented in order to illustrate the effectiveness of the approach. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/42357]  |
| 专题 | 自动化研究所_学术期刊_International Journal of Automation and Computing |
| 作者单位 | 1.IRCCyN, UMR CNRS 6597 (Institut de Recherche en Communications et Cyberntique de Nantes), Nantes, France 2.LUNAM University, Ecole des Mines de Nantes, Nantes 44307, France |
| 推荐引用方式 GB/T 7714 | Mohamed Yagoubi. A Linear Quadratic Controller Design Incorporating a Parametric Sensitivity Constraint[J]. International Journal of Automation and Computing,2019,16(4):553-562. |
| APA | Mohamed Yagoubi.(2019).A Linear Quadratic Controller Design Incorporating a Parametric Sensitivity Constraint.International Journal of Automation and Computing,16(4),553-562. |
| MLA | Mohamed Yagoubi."A Linear Quadratic Controller Design Incorporating a Parametric Sensitivity Constraint".International Journal of Automation and Computing 16.4(2019):553-562. |
入库方式： OAI收割
来源：自动化研究所
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