受扰线性不确定系统鲁棒H_∞混合镇定

Robust H_∞ Mixed Stabilization of Uncertain Linear Systems With Disturbances

针对受外界扰动和参数不确定性影响的线性系统,同时考虑其暂态性能和稳态性能,提出基于混合稳定的鲁棒H_∞控制概念和控制方法.给出闭环系统混合稳定且抑制外部扰动对被控输出影响的充分条件,并将这些条件转化为线性矩阵不等式约束.所设计的是一个关于时间连续的H_∞混合镇定控制器,简化了设计过程,避免控制器切换导致的抖振.仿真结果表明:在外界扰动和参数不确定影响的情况下,该控制方法达到预期的暂态性能和稳态性能的要求,且有效抑制了干扰对系统状态的影响.

To guarantee both the transient and steady performances of a linear system with uncertainties and disturbances,a new control method called mixed-stability-based H∞stabilization is proposed.The solvable conditions of mixed-stability-based H∞ stabilization are presented by using the linear matrix inequalities.The mixed-stability-based H∞ stabilization controller given in this paper is continuous in time domain,thus simplifies the design process and avoids the potential chattering.Finally,a numerical simulation is conducted to demonstrate the effectiveness and feasibility of the proposed method.