A Study on Stabilization for uncertain switched linear systems

研究了多面体不确定线性切换系统的二次镇定问题，给出了其可解性条件。其次，在一定的假设条件下，给出了同一线性切换系统渐近稳定的充分必要条件。进一步，给出了多面体不确定线性切换系统无稳定性和稳定性的状态反馈干扰解耦问题，并给出了它们的可解性条件。此外，还研究了在原点线性化可能失败的非线性系统的输出跟踪控制问题

In this study, quadratic stabilization problems for polytopic uncertain switched linear systems were investigated and their solvability conditions were presented. Next, under certain assumptions, necessary and sufficient conditions for the same switched linear systems to be asymptotically stable were presented. Further, two disturbance decoupling problems without stability and with stability via state feedback for polytopic uncertain switched linear systems were formulatedand their solvability conditions were presented. Moreover, a practical output tracking control problem for some nonlinear system whose linearization at the origin may fail was investigated