非线性系统的强实用鲁棒控制

Strongly Practical Robust Control for a Class of Nonlinear Systems

分析输出具有给定时域性能的一类微分包含系统的控制问题。此微分包含系统用非线性不确定系统来描述，运用实用稳定性理论分析了非线性系统的强实用鲁棒控制问题。系统强实用鲁棒镇定的条件是满足一些参数条件和线性矩阵不等式。仿真结果表明，闭环系统的动态响应达到了原设计的时域性能指标。

This paper considers control problem for a class of differential inclusion systems with prespecified time domain performances of outputs of systems. Such a system is described by a nonlinear uncertain system. Based on practical stability theory, strongly practical robust control for such nonlinear uncertain systems is analyzed. It is necessary that a series of parametric conditions and linear matrix inequalities, which guarantee the closed lood system with strongly practical robust stability. The results of numerical example show the effectiveness of design procedure proposed in this paper.