对满足指数1和线性增长条件的非线性微分–代数系统,本文证明其采样输出反馈镇定控制问题可解.首先,给出一个线性显式非初始化状态观测器设计;然后,构造出线性的采样输出反馈控制器,使得整个闭环系统渐近稳定.仿真结果表明了所提控制方法的有效性.
For nonlinear differential-algebraic equations sys- tem which is of index one and satisfies linear growth condition, it is shown that the problem of sampled-data output feedback sta- bilization control can be solved. A linear explicit non-initialized observer is proposed to obtain the state estimation. Then a lin- ear sampled-data output feedback controller is designed, through which the whole closed-loop systems are asymptotically stable. Simulation results show the validity of the control method pro- posed in this paper.