将闭环增益成形算法推广到离散系统中去。分别用Z变换、差分反演法和双线性变换给出一阶、二阶和三阶闭环增益成形算法的离散形式,然后针对船舶航向保持问题,在Matlab环境中进行了仿真研究。仿真结果表明,航向保持的跟踪速度快、没有超调,当模型参数改变时,控制器具有一定的鲁棒性,说明离散型闭环增益成形算法是有效的。
By extending closed-loop gain shaping algorithm into discrete system, its discrete formulae for the first, second and third order closed-loop gain shaping algorithms are given with Z transformation, difference method and bilinear transformation, respectively. The simulation results of a ship course-keeping in Matlab indicate that regulating speed of the course keeping is high without overshoot, controller is robust when parameters of the model are varied and so the discrete closed-loop gain shaping algorithm is effective.