具有饱和约束的船舶航向非光滑反馈控制设计

谷劲柏,郑 凯,王兴成

大连海事大学学报 ›› 2013, Vol. 39 ›› Issue (1) : 19-22.

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大连海事大学学报 ›› 2013, Vol. 39 ›› Issue (1) : 19-22.
论著

具有饱和约束的船舶航向非光滑反馈控制设计

  • 谷劲柏,郑 凯,王兴成
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Nonsmooth control design of ship steering with saturation constrained

  • GU Jin-bai,ZHENG Kai ,WANG Xing-cheng
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文章历史 +

摘要

针对具有饱和约束的船舶航向控制问题,提出一种基于Lyapunov稳定性理论的非光滑反馈设计实现航向无差控制.该方法结合闭环控制及开环控制两种设计手段,在保证船舶航向控制系统稳定的前提下,克服舵角工作范围约束,可在初始条件已知情况下,保证船舶在任意位置实现无差航向控制.多种情况下数值仿真结果验证了该非光滑设计方法的有效性.

Abstract

Based on Lyapunov stability theory, the nonsmooth feedback design is proposed to overcome the saturation constrained and to obtain the stability of ship steering control system without static error. Combining the closed-loop control design with the open-loop control design, this method can achieve the zero static steering error with the initial condition of the ship obtained. Numerical simulations under several conditions verify the effectiveness of the proposed method.

关键词

航向控制 / 饱和非线性 / 非光滑控制 / 开环控制

Key words

ship steering / saturation nonlinearity / nonsmooth control / open-loop control

引用本文

导出引用
谷劲柏,郑 凯,王兴成. 具有饱和约束的船舶航向非光滑反馈控制设计[J]. 大连海事大学学报. 2013, 39(1): 19-22
GU Jin-bai,ZHENG Kai ,WANG Xing-cheng. Nonsmooth control design of ship steering with saturation constrained[J]. Journal of Dalian Maritime University. 2013, 39(1): 19-22

参考文献

[1]FOSSEN T I. Guidance and Control of Ocean Vehicles [M]. New York:Wiley,1994. [2]贾欣乐,杨盐生.船舶运动数学模型——机理建模与数学建模[M]. 大连: 大连海事大学出版社,1998. [3]杜佳璐,郭晨,李如铁.基于逆推算法的非线性船舶航向跟踪控制器[J].大连海事大学学报,2004,30 (1):18-21. DU Jia-lu, GUO Chen, LI Ru-tie. Backstepping algorithm based nonlinear ship steering controller [J]. Journal of Dalian Maritime University, 2004,30 (1):18-21.(in Chinese) [4]孔令涛,杜佳璐,王玉杰. 基于逆推——非线性阻尼算法的船舶航向控制器设计[J].大连海事大学学报,2006,32(4): 61-64. KONG Ling-tao, DU Jia-lu, WANG Yu-jie. Ship steering controller design based on backstepping algorithm and nonlinear damping algorithm [J]. Journal of Dalian Maritime University,2006,32(4): 61-64.(in Chinese) [5]杨盐生.不确定系统的鲁棒控制及其在船舶运动控制系统中的应用[D].大连:大连海事大学, 1999. YANG Yan-sheng. Robust control for uncertain systems and its applications to ship motion control [D]. Dalian: Dalian Maritime University, 1999.(in Chinese) [6]ALBERTINI F, D'ALESSANDRO D. Asymptotic stability of continuous-time systems with saturation nonlinearities[J]. Systems & Control Letters, 1996, 29(3):175-180. [7]ALBERTINI F, D’ALESSANDRO D, PAICE A D B. Further conditions on the stability of continuous time systems with saturation[J]. IEEE Transactions on Circuits and Systems—I: Fundamental Theory and Applications, 2000, 47(5):723-729. [8]HU Ting-shu, LIN Zong-li. A complete stability analysis of planar linear systems under saturation[J]. IEEE Transactions on Circuits and Systems—I: Fundamental Theory and Applications, 2000, 47(4):498-512. [9]HU Ting-shu, LIN Zong-li, SHAMASH Y. On maximizing the convergence rate for linear systems with input saturation[J]. IEEE Transactions on Automatic Control, 2003, 48(7):1249-1253.

基金

教育部博士点基金( 20102125120001);国家自然科学基金资助项目( 60736022);中央高校基本科研业务费专项资金资助项目( 2012TD031).

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