线性时变系统的一种鲁棒镇定控制器设计方法

针对一类线性时变系统提出一种状态反馈镇定控制器设计方法,该反馈控制器能将线性时变系统转化为一个稳定的定常闭环系统.借助线性系统的特征结构配置参数化方法,得到含待求参数的控制器解析形式,并给出控制器的可解性判据.在满足可解性的基础上,进一步对控制器进行了多目标优化设计,使其在保证系统稳定性的同时,具有良好的鲁棒性和干扰抑制能力.通过一个时变卫星姿态控制系统的实际设计表明了该方法的有效性.

Robust stabilization controller design technique for linear time-varying systems

For some special linear time-varying systems, a state-feedback stabilization controller design technique is
proposed. By using the controller, a linear time-varying system can be converted to a time-invariant stable system. By
employing the parametric eigenstructure assignment method for linear systems, the analytical form of the stabilization
feedback controller is constructed, which includes a set of unknown parameters. The solvability criterion of the stabilization
controller is transformed to some constraints on the unknown parameters. Then a multi-objective optimization is realized
on basis of the criterion. The design technique is verified in a time-varying satellite attitude control system and the results
illustrate the effectiveness of the proposed method.