输入饱和系统的离散增益调度控制及其在在轨交会中的应用

王茜; 周彬; 段广仁

doi:10.3724/SP.J.1004.2014.00208

输入饱和系统的离散增益调度控制及其在在轨交会中的应用

doi: 10.3724/SP.J.1004.2014.00208

1.
哈尔滨工业大学控制理论与制导技术研究中心哈尔滨 150001

基金项目:

国家重点基础研究发展计划（973 计划）（2012CB821205）;国家自然科学基金创新群体项目（61021002）;国家自然科学基金（61104124，61273028，61322305）;教育部新世纪优秀人才支持计划（NCET-11-0815）;哈尔滨工业大学基础研究杰出人才培育计划Ⅲ 类（HIT.BRETⅢ.201210）;哈尔滨工业大学基础研究杰出人才“跃升”培育计划（HIT.BRETIV.201305）资助

详细信息

作者简介:
王茜哈尔滨工业大学控制理论与制导技术研究中心博士研究生.主要研究方向为约束控制，非线性系统，鲁棒控制. E-mail：wq@hit.edu.cn<>

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出版历程
- 收稿日期: 2012-10-09
- 修回日期: 2013-06-28
- 刊出日期: 2014-02-20

Discrete Gain Scheduled Control of Input Saturated Systems with Applications in On-orbit Rendezvous

1.
Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001

Funds:

Supported by National Basic Research Program of China (973 Program) (2012CB821205), the Innovative Team Program of National Natural Science Foundation of China (61021002), National Natural Science Foundation of China (61104124, 61273028, 61322305), the Program for New Century Excellent Talents in University (NCET-11-0815), and Fundamental Research Funds for the Central Universities (HIT.BRETⅢ.201210, HIT.BRETIV.201305)

摘要

摘要: 基于参量Lyapunov方法和不变集理论，针对具有输入饱和非线性约束的线性系统，提出了一种离散增益调度控制方法. 通过逐渐增大代表闭环系统收敛速率参数的值，所提出的离散增益调度控制方法逐步加快闭环系统的收敛速度，达到改善闭环系统动态性能的目的. 如果开环系统是非指数不稳定的，则所提出的离散增益调度控制器可实现半全局镇定；反之可实现局部镇定，并均可保证闭环系统的指数稳定性. 最后，将所提出的方法应用于空间合作目标在轨交会控制系统的控制器设计，并直接在原始非线性系统模型上进行仿真，结果验证了所提方法的有效性.
- 输入饱和非线性 /
- 离散增益调度 /
- 参量Lyapunov方程 /
- 不变集 /
- 在轨交会
Abstract: This paper proposes a discrete gain scheduled approach to the control of linear systems with input saturation nonlinearity by utilizing the parametric Lyapunov equation based approach and the invariant set theory. The proposed discrete gain scheduled approach improves the dynamic performances of the closed-loop systems significantly by gradually increasing a design parameter representing the convergence rate of the closed-loop system. It is shown that the proposed discrete gain scheduled controller achieves semi-global stabilization if the open-loop system is not exponentially unstable, and achieves local stabilization if the open-loop system is exponentially unstable. The exponential stability of the closed-loop system is guaranteed in both cases. Numerical simulations on the nonlinear model of the spacecraft rendezvous system show the effectiveness of the proposed discrete gain scheduled approach.
- Input saturation nonlinearity /
- discrete gain scheduling /
- parametric Lyapunov equation /
- invariant set /
- on-orbit rendezvous

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参考文献(30)

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输入饱和系统的离散增益调度控制及其在在轨交会中的应用

doi: 10.3724/SP.J.1004.2014.00208

作者简介:
王茜哈尔滨工业大学控制理论与制导技术研究中心博士研究生.主要研究方向为约束控制，非线性系统，鲁棒控制. E-mail：wq@hit.edu.cn<>

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Discrete Gain Scheduled Control of Input Saturated Systems with Applications in On-orbit Rendezvous

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输入饱和系统的离散增益调度控制及其在在轨交会中的应用

doi: 10.3724/SP.J.1004.2014.00208

作者简介: 王茜 哈尔滨工业大学控制理论与制导技术研究中心博士研究生.主要研究方向为约束控制，非线性系统，鲁棒控制. E-mail：wq@hit.edu.cn<>

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出版历程

Discrete Gain Scheduled Control of Input Saturated Systems with Applications in On-orbit Rendezvous

计量

出版历程

目录

作者简介:
王茜哈尔滨工业大学控制理论与制导技术研究中心博士研究生.主要研究方向为约束控制，非线性系统，鲁棒控制. E-mail：wq@hit.edu.cn<>