| 不确定广义系统的有限时间终端滑模控制 |
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| 引用本文： | 梁家荣,赵惟琦,李侠.不确定广义系统的有限时间终端滑模控制[J].陕西师范大学学报,2012(3):1-5. |
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| 作者姓名： | 梁家荣 赵惟琦 李侠 |
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| 作者单位： | 广西大学计算机与电子信息学院;广西大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(61064002);广西壮族自治区自然科学基金资助项目(2010GXNSFAO13125) |
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| 摘 要： | 研究了一类不确定广义系统的有限时间终端滑模控制问题.通过非奇异线性变换将不确定广义系统转换成受限等价形式,利用Liapunov函数的方法,提出一种有限时间终端滑模控制策略,给出相应的终端滑模超曲面和终端滑模控制律,得闭环系统渐近稳定,现了滑模运动,保证了在滑模面上系统状态变量在有限时间内到达平衡点.给出了相应的数值算例,说明了设计的可行性和有效性.
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| 关 键 词： | 不确定广义系统 终端滑模控制 有限时间收敛 Liapunov函数 |
Finite-time terminal sliding mode control for uncertain singular systems |
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| LIANG Jia-rong,ZHAO Wei-qi,LI Xia.Finite-time terminal sliding mode control for uncertain singular systems[J].Journal of Shaanxi Normal University: Nat Sci Ed,2012(3):1-5. |
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| Authors: | LIANG Jia-rong ZHAO Wei-qi LI Xia |
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| Institution: | 1 School of Computer and Electronic Information,Guangxi University; 2 School of Mathematics and Information Science, Guangxi University,Nanning 530004,Guangxi,China) |
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| Abstract: | The finite-time terminal sliding mode control for a class of uncertain singular systems is studied.The uncertain singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation.And then by the method of Liapunov function,a finite-time terminal sliding mode control strategy is proposed.A terminal sliding mode hypersurface and a controller are given correspondingly such that the asymptotic stability of the closed-loop system is guaranteed,the motion of sliding mode is realized,and the system state variables can converge to the equilibrium point in finite time.Finally,a numerical example is presented to illustrate the feasibility and effectiveness of the design. |
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| Keywords: | uncertain singular system terminal sliding mode control finite-time convergence Liapunov function |
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