考虑静差消除的混沌电力系统有限时间命令滤波反步控制

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (2) : 139-148.

论文

李静贤，王聪，张宏立，张绍华

作者信息 +

Finite-time command filter backstepping control of chaotic power systems considering static error elimination

LI Jingxian，WANG Cong，ZHANG Hongli，ZHANG Shaohua

Author information +

文章历史 +

摘要

混沌作为一种复杂且不稳定的非线性动力学行为，极易导致电力系统的振荡与失稳，严重威胁着电力系统的安全稳定运行。本文基于有限时间理论，针对混沌电力系统，提出一种考虑静差消除的有限时间命令滤波反步控制方法。首先，通过径向基神经网络实现对电力系统模型中未知非线性函数的逼近；其次，加入命令滤波器与误差补偿器，实现对虚拟控制信号的求导及误差补偿；最后，针对传统有限时间命令滤波控制中存在的静态误差问题，引入误差积分反馈律，通过反步法设计系统的控制律，使其满足有限时间稳定，实现电力系统在混沌状态下对目标信号的跟踪，从而间接实现电力系统的混沌控制。通过仿真实验证明，本文所设计的方法能够有效抑制电力系统的混沌振荡现象，消除控制过程中存在的静态误差，进一步削弱控制量之间的耦合关系，保证了电力系统的正常运行。

Abstract

As a complex and unstable nonlinear dynamic behavior, Chaos can easily lead to the oscillation and instability of the power system, and threaten the safe and stable operation of the power system seriously. Based on the finite time theory, this paper proposes a finite time command filter adaptive control method considering static error elimination for chaotic power systems. Firstly，the radial basis function neural network is used to achieve the approximation of the unknown nonlinear function in the power system model. Secondly, the command filter and error compensator are added to realize the derivation and error compensation of the virtual control signal. Finally, in view of the static error problem in the control, introducing the error integral feedback law, design the system's control law through the backstepping method to satisfy the finite time stability, and realize the tracking of the target signal in the chaotic state of the power system, thereby realizing the chaotic control of the power system indirectly. The simulation experiment proves that the method designed in this paper can effectively suppress the chaotic oscillation phenomenon of the power system, eliminate the static error in the control process, further weaken the coupling relationship between the control variables, and ensure the normal operation of the power system.

导出引用

李静贤，王聪，张宏立，张绍华. 考虑静差消除的混沌电力系统有限时间命令滤波反步控制[J]. 振动与冲击, 2023, 42(2): 139-148

LI Jingxian，WANG Cong，ZHANG Hongli，ZHANG Shaohua. Finite-time command filter backstepping control of chaotic power systems considering static error elimination[J]. Journal of Vibration and Shock, 2023, 42(2): 139-148

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