一类不确定奇异系统的鲁棒控制(英文)

Robust Control of a Class of Singular Systems with Uncertainties

对于一类具有非线性扰动的不确定奇异系统,研究了其鲁棒镇定问题.假定不确定参数是范数有界的,非线性扰动函数满足Lipschitz条件.以线性矩阵不等式的形式给出了不确定系统鲁棒稳定的一个判定准则.基于该准则,设计了一些状态反馈控制器使得闭环系统鲁棒稳定.最后,通过仿真实例验证了所得结果的正确性.

For a class of uncertain singular systems with nonlinear perturbation, the problem of the robust stabilization is investigated. The parametric uncertainty is assumed to be norm bounded and the nonlinear perturbation is assumed to satisfy Lipschitz condition. A robust stability criterion of uncertain singular systems is given in terms of linear matrix inequalities, based on which, some state feedback controllers are derived such that the closed -loop systems are robustly stable. Finally, simulation results are provided to demonstrate the effectiveness of present results.