Zonotopic Set-Membership State Estimation for Discrete-Time Descriptor LPV Systems

Wang Ye; Wang Zhenhua; Puig Vicenc; Cembrano Gabriela

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Zonotopic Set-Membership State Estimation for Discrete-Time Descriptor LPV Systems

机译：离散时间描述符LPV系统的Zonotopic Set-隶属状态估计

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摘要

This technical note proposes a novel set-membership state estimation approach based on zonotopes for discrete-time descriptor linear parameter-varying systems. The consistency test between the system model and measured outputs is implemented to construct a parameterized intersection zonotope with respect to a correction matrix. With a defined zonotope minimization criterion, we propose a novel offline optimization problem to obtain the optimal correction matrix. In addition, with the proposed approach, an adaptive bound of the radius of the intersection zonotope is also provided. Finally, a case study with a truck-trailer system is shown to illustrate the proposed approach.

机译：本技术说明提出了一种基于用于离散时间描述符线性参数变化系统的ZONotopes的新型集成员状态估计方法。实现系统模型和测量输出之间的一致性测试以构造相对于校正矩阵的参数化交集zonotope。通过定义的Zonotope最小化标准，我们提出了一种新的离线优化问题，以获得最佳校正矩阵。另外，通过所提出的方法，还提供了交叉点Zonotope的半径的自适应。最后，示出了用卡车拖车系统进行案例研究，以说明所提出的方法。

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来源
《IEEE Transactions on Automatic Control》 |2019年第5期|2092-2099|共8页
作者
Wang Ye; Wang Zhenhua; Puig Vicenc; Cembrano Gabriela;
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作者单位

Univ Politecn Cataluna BarcelonaTech CSIC Adv Control Syst Res Grp Inst Robot & Informat In E-08028 Barcelona Spain;

Harbin Inst Technol Sch Astronaut Harbin 150001 Heilongjiang Peoples R China;

Univ Politecn Cataluna BarcelonaTech CSIC Adv Control Syst Res Grp Inst Robot & Informat In E-08028 Barcelona Spain;

Univ Politecn Cataluna BarcelonaTech CSIC Adv Control Syst Res Grp Inst Robot & Informat In E-08028 Barcelona Spain|Cetaqua Water Technol Ctr Barcelona 08940 Spain;

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正文语种 eng
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关键词
Descriptor systems; discrete-time linear parameter-varying (LPV) models; set-membership approach; state estimation; zonotopes;

机译：描述符系统;离散时间线性参数变化（LPV）模型;设置 - 会员方法;状态估计;Zonotopes;

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专利

1. Zonotopic Set-Membership State Estimation for Discrete-Time Descriptor LPV Systems [J] . Wang Ye, Wang Zhenhua, Puig Vicenc, IEEE Transactions on Automatic Control . 2019,第5期

机译：离散时间描述符LPV系统的Zonotopic集成员状态估计
2. Observer-based output feedback robust MPC via zonotopic set-membership state estimation for LPV systems with bounded disturbances and noises [J] . Ping Xubin, Yang Sen, Ding Baocang, Journal of the Franklin Institute . 2020,第11期

机译：基于观察者的输出反馈通过ZONotopic Set-Commerial状态估计具有有界扰动和噪声的LPV系统
3. Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems [J] . Xubin Ping, Ning Sun Journal of applied mathematics . 2015,第Pta1期

机译：受限拟LPV系统中基于区域主题集成员估计的动态输出反馈鲁棒模型预测控制
4. Interval zonotopic fault estimation for uncertain LPV descriptor systems [C] . Meng Zhou, Chang Wang, Zhengcai Cao, Conference on Control and Fault Tolerant Systems . 2019

机译：不确定LPV描述符系统的区间局部断层估计。
5. Guaranteed State Estimation via Remainder-Form Decomposition Function-Based Set Inclusion for Nonlinear Discrete-Time Systems [D] . Shoaib, Fatima. 2021

机译：保证状态估计通过基于剩余的形式分解功能的非线性离散时间系统的夹杂物
6. Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems [O] . Mengjuan Cao, Fucheng Liao -1

机译：线性离散时间非因果多速率系统的最优预览控制器设计
7. Zonotopic Set-Membership State Estimation for Discrete-Time Descriptor LPV Systems [O] . Ye Wang, Zhenhua Wang, Vicenc Puig, 2019

机译：离散时间描述符LPV系统的Zonotopic Set-隶属状态估计
8. Some Aspects of Nonlinear Discrete-Time Descriptor Systems in Economics [R] . Fliegner, T., Nijmeuer, H., Kotta, U. 1993

机译：经济学中非线性离散时间广义系统的若干问题

Zonotopic Set-Membership State Estimation for Discrete-Time Descriptor LPV Systems

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