Lurie控制系统的时滞相关绝对稳定性新判据

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Lurie控制系统的时滞相关绝对稳定性新判据

高金凤, 苏宏业, 嵇小辅, 褚健

文章导航 > 自动化学报 > 2008 > 34(10): 1275-1280

高金凤, 苏宏业, 嵇小辅, 褚健. Lurie控制系统的时滞相关绝对稳定性新判据. 自动化学报, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

引用本文:

高金凤, 苏宏业, 嵇小辅, 褚健. Lurie控制系统的时滞相关绝对稳定性新判据. 自动化学报, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

GAO Jin-Feng, SU Hong-Ye, JI Xiao-Fu, CHU Jian. New Delay-dependent Absolute Stability Criteria for Lurie Control Systems. ACTA AUTOMATICA SINICA, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

Citation:

GAO Jin-Feng, SU Hong-Ye, JI Xiao-Fu, CHU Jian. New Delay-dependent Absolute Stability Criteria for Lurie Control Systems. ACTA AUTOMATICA SINICA, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

高金凤, 苏宏业, 嵇小辅, 褚健. Lurie控制系统的时滞相关绝对稳定性新判据. 自动化学报, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

引用本文:

高金凤, 苏宏业, 嵇小辅, 褚健. Lurie控制系统的时滞相关绝对稳定性新判据. 自动化学报, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

GAO Jin-Feng, SU Hong-Ye, JI Xiao-Fu, CHU Jian. New Delay-dependent Absolute Stability Criteria for Lurie Control Systems. ACTA AUTOMATICA SINICA, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

Citation:

GAO Jin-Feng, SU Hong-Ye, JI Xiao-Fu, CHU Jian. New Delay-dependent Absolute Stability Criteria for Lurie Control Systems. ACTA AUTOMATICA SINICA, 2008, 34(10): 1275-1280. doi: 10.3724./SP.J.1004.2008.01275

Lurie控制系统的时滞相关绝对稳定性新判据

doi: 10.3724./SP.J.1004.2008.01275

1.
Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P.R.China
2.
State Key Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027 P.R.China
3.
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R.China

通讯作者:
高金凤

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- 文章访问数: 1988
- HTML全文浏览量: 38
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出版历程
- 收稿日期: 2007-07-23
- 修回日期: 2007-10-23
- 刊出日期: 2008-10-20

New Delay-dependent Absolute Stability Criteria for Lurie Control Systems

1.
Institute of Automation, Zhejiang Sci-Tech University, Hangzhou 310018, P.R.China;
2.
State Key Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027 P.R.China;
3.
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, P.R.China

More Information

Corresponding author: GAO Jin-Feng

摘要: 研究了纵平面内的自主水下航行器(AUV)的跟踪控制问题. 该AUV由一个内部滑动质点及后推进器驱动. 结合滑动质点的运动方程, AUV可视为欠驱动系统. 基于Lyapunov理论及反步控制方法, 提出了一种跟踪控制律以镇定误差动力学并使得位置跟踪误差收敛于零点左右的一个小邻域内. 仿真结果验证了该控制律的有效性.
- 自主水下航行器(AUV) /
- 变质心 /
- 欠驱动 /
- 跟踪控制
Abstract: This note is concerned with the absolute stability analysis for time-delay Lurie control systems with nonlinearity located in an infinite sector and finite one. By using a new Lyapunov-Krasovskii functional that splits the whole delay interval into two subintervals and defines a different energy function on each subinterval and introducing some free-weighting matrices, some new delay-dependent robustly absolute stability criteria are presented in terms of strict linear matrix inequalities (LMIs). The obtained delay-dependent criteria are less conservative than previous ones, as are illustrated by numerical examples.
- Lurie control system /
- delay-dependent criterion /
- absolute stability /
- uncertainty

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