不确定陀螺仪混沌系统的H_∞滑模控制
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摘要
研究了带有未知外界扰动及不确定项的陀螺仪混沌系统的控制问题.基于Lyapunov稳定性理论,设计滑模面,并在满足一些H_∞性质的条件下设计了滑模控制器.在稳定性分析中,使用的主要方法为结合H_∞性质的LMI方法.该控制器可以保证闭环系统的稳定性和系统状态变量的H_∞性质.仿真实验的结果表明,该方法有较好的同步控制效果.
In this paper,we construct a sliding mode H_∞ controller for chaotic gyros subject to system uncertainties and unknown external disturbances. By using Lyapunov stability criterion,a sliding mode surface is proposed,and a sliding mode controller is designed with H_∞ performance. The proposed method can guarantee the boundedness of all signals in the closed-loop system and systems variables of the gyros tend to the origin.Finally simulation studies are carried out to show the effectiveness of the proposed method.
In this paper,we construct a sliding mode H_∞ controller for chaotic gyros subject to system uncertainties and unknown external disturbances. By using Lyapunov stability criterion,a sliding mode surface is proposed,and a sliding mode controller is designed with H_∞ performance. The proposed method can guarantee the boundedness of all signals in the closed-loop system and systems variables of the gyros tend to the origin.Finally simulation studies are carried out to show the effectiveness of the proposed method.
引文
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[2]Zarei M,Vali A,Behnamgol V.Sliding mode control with self-tuning law for synchonization of two uncertain chaotic gyros[C].International Conference on Control,Instrumentation,and Automation.Qazvin Iran:IEEE,2016.
[3]Kim Y W,Yoo H H.Design of a vibrating MEMS gyroscope considering design variable uncertainties[J].Journal of Mechanical Science and Technology,2010,24(11):2175-2180.
[4]Tsai N,Wu B.Nonlinear dynamics and control for single-axis gyroscope systems[J].Nonlinear Dynamics,2008(51):355-364.
[5]Zheng S,Li H,Han B,Yang J.Power consumption reduction for magnetic bearing systems during torque output of control moment gyros[J].IEEE Transactions on Power Electronics,2017,32(7):5752-5759.
[6]Yau H T.Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control[J].Mechanical Systems and Signal Processing,2008(22):408-418.
[7]Dong Q,Zong Q,Tian B,Wang F.Adaptive‐gain multivariable super‐twisting sliding mode control for reentry RLV with torque perturbation[J].International Journal of Robust&Nonlinear Control,2017,27(4),in press.
[8]Zhang B,Ma L,Han Q.Sliding mode H∞control for offshore steel jacket platforms subject to nonlinear self-excited wave force and external disturbance[J].Nonlinear Analysis:Real World Applications,2013,14(1):163-178.
[9]Luo Y,Wang Z,Liang J,Alsaadi F E.H∞Control for 2-D fuzzy systems with interval time-varying eelays and missing measurements[J].IEEE Transactions on Cybernetics,2016,47(2):365-377.
[10]Cheng J,Park J H,Wang H.Event-triggered H∞control for T-S fuzzy nonlinear systems and its application to truck-trailer system[J].ISA Transactions,2016(65):62-71.