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针对具有任意切换序列的不确定线性切换系统,提出一种鲁棒镇定切换控制律设计方法.通过求解一组线性矩阵不等式,计算切换系统的共同鲁棒控制Lyapunov函数,进而构造一个双自由度的切换状态反馈控制律.应用共同鲁棒控制Lyapunov函数性质和切换控制理论,证明所提切换控制律的鲁棒渐近稳定性和逆最优性及共同鲁棒扇形裕度(0.5,∞).最后以DC-DC升压变换器切换控制为例,仿真验证文章方法的有效性和实用性.
Aiming at the uncertain switched linear systems with arbitrary switching sequences, a robust stabilization switching control law design method is proposed. By solving a set of linear matrix inequalities, a robust control Lyapunov function of switching system is calculated and a two-degree-of-freedom Switched state feedback control law, the robust asymptotic stability and inverse optimality of the proposed switched control law and the common robust sector margin (0.5, ∞) are proved by using the properties of the common robust control Lyapunov function and switching control theory. Finally, taking DC-DC step-up converter switching control as an example, the validity and practicability of the method are verified by simulation.