针对二次调节流量耦联系统非线性特性,利用坐标非线性变换和状态非线性反馈得到系统精确线性化控制规律。由于系统相对阶严格小于系统维数,所以通过证明系统零动态的稳定性验证了所得精确线性化控制规律的可行性。然后利用Ackermann极点配置算法,设计了系统的精确线性化控制器。通过仿真研究表明,加入精确线性化控制器后,系统快速性提高,并达到无超调。通过与PID控制器比较可知,当系统远离工作零点时,PID控制器有明显无超调,且调整时间加长,而精确线性化控制器与工作点无关。
According to the nonlinear characteristics of the flow-coupled secondary regulation system, the exact linearization control law was obtained via nonlinear coordinate transformation and state feedback. It was necessary to analyze the zero dynamics because the relative order was less than the system dimension. Then, the zero dynamics was proved to be stable so as to verify the feasibility of the exact linearization control law. And the exact linearization controller was designed using the Ackermann pole placement algorithm. Finally, the experimental results show that the system has good rapidity and is free from overshoot after adding exact linearization controller. From the comparison between the exact linearization controller and PID controller, the exact linearization .controller is independent of the working point. However, the system has obvious overshoot and the regulation time is lengthened after adding PID controller when the working point is far from the zero point.