基于泰勒级数拟合的机器人模糊连续变增益H_∞控制

Fuzzy continuous gain scheduled H_∞ control based on Taylor series fitting for robotic manipulators

针对 n关节刚性机器人 ,提出一种新的保证在整个运动范围内始终具有良好动态性能的模糊连续变增益控制器的设计方法。首先结合变增益 H∞ 理论和 L MI方法 ,运用泰勒级数拟合设计连续变增益 H∞ 控制器 ,使其适合系统状态变化快的对象 ;然后引入模糊控制 ,使控制器在误差较大时具有快速特性 ,误差较小时具有良好阻尼特性 ,从而使系统随状态变化始终具有很高的动态性能。

A new approach to the design of a fuzzy continuous gain scheduled H∞ controller based on Taylor series fitting for n-joint rigid robotic manipulators, which guarantees satisfactory dynamic characteristics in the whole movement range, is presented. This scheme combines the gain scheduled H∞ theory with LMI approach to design a continuous gain scheduled H∞ controller, which is applicable to systems with fast state variations, with the use of Taylor series fitting. Fuzzy control is then incorporated so that the designed controller possesses the characteristics of a fast response for large errors and a well-damped response for small errors. The system thus always has a good dynamic performance along with the variations of the system states. Simulations and experiments demonstrate the effectiveness of the designed controller.