具结构式不确定性系统的鲁棒镇定

考虑一类与摄动参数呈多项式函数关系的不确定性模型 ,这类模型反应了预知部分不确定性信息的物理意义。给出了含这类不确定性系统鲁棒稳定的充分条件和最大稳定域估计方法。在区间系统情形 ,该条件退化为已有结果 ,这间接表明文中条件的保守性有限。进一步得到了状态和输出反馈鲁棒镇定控制器的设计方法 ,及文中方法意义下具有最大稳定域的镇定控制器设计算法。最后 ,给出了一个飞控系统鲁棒镇定控制器设计的例子 ,说明文中方法的可行性。

Robust Stabilization of Systems with Structured Uncertainty

This paper considers a class of uncertainties with the polynomial function form of perturbation parameters, which is analogous to a fact that part information is known for some uncertainties. A sufficient condition of robust stability is presented, and a method is also provided to estimate the stability bound for plants with the class of uncertainties. In the case of interval plants, this condition reduces to an existing result, which would show indirectly the condition is not too conservative. Methods are offered to design a stabilizer via the state and output feedback, respectively. Moreover, algorithms are proposed to obtain a stabilizer such that the stability domain of the closed loop systems is maximized with respect to the used method. Finally, an illustrative example of flight control system stabilization is given to show the methods in practice.