七阶混沌振荡电力系统的自耦PD控制

为了抑制七阶电力系统中的混沌振荡，根据自耦PID控制理论提出了一种简单的混沌控制方法。该方法首先将七阶混沌系统控制问题分解为三个严格反馈子系统的控制问题，然后将每个子系统已知和未知动态分别定义为一个总扰动，进而将三个子系统等价映射为一个三阶线性扰动系统和两个二阶线性扰动系统。据此分别构建了在总扰动反相激励下的三个受控误差系统。根据自耦PID控制理论，分别设计了一个扩展自耦PD控制器和两个自耦PD控制器。最后分析了每个子系统的鲁棒稳定性和抗扰动鲁棒性。仿真结果验证了所提控制方法的有效性，每个状态变量均能由混沌振荡状态恢复到稳定运行状态，且控制信号光滑。因此该方法在电力混沌振荡控制系统领域具有良好的实际应用前景。

Auto-coupling PD control of chaotic oscillation in a seven-dimensional power system

To suppress chaotic oscillation in a seven-dimensional power system model, a simple chaos control method based on auto-coupling proportional-integration-differential (ACPID) control theory is proposed. First, the seven-dimensional chaotic control problem is decomposed into the control problem of three strict feedback subsystems. Then, the known and unknown dynamics of each subsystem are defined as a total disturbance. Then, the three subsystems are equivalently mapped to a third-order linear disturbance system and two second-order linear disturbance systems. Based on this, three controlled error systems under the total disturbance inverse excitation are constructed. From ACPID control theory, an extended auto-coupling proportional-differential (EACPD) controller and two auto-coupling proportional-differential (ACPD) controllers are designed. Finally, the robust stability and anti-disturbance robustness of each subsystem are analyzed. The simulation results verify the effectiveness of the control method, which can make the seven-dimensional power system enter the steady state from the chaotic oscillation state, and the control signal is smooth. Therefore, it has a good practical application prospect in the field of power chaotic oscillation control systems.