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研究一类含有输入时滞的切换系统正性镇定问题.通过引入增广系统,将时滞作为一个切换参数,原系统的正性镇定问题转化为增广系统异步切换下的控制问题.利用对偶系统的特性,得到增广系统在平均驻留时间切换下为正且稳定的充分条件,进而设计控制器以保证闭环系统的正性和稳定性.得到的充分条件可转化为标准的线性规划问题,利用Matlab的linprog工具箱进行求解.最后,通过仿真示例验证了所得结果的有效性.
In this paper, a class of positive stabilization problem for switched systems with input delay is studied. By introducing augmented system, the delay is regarded as a switching parameter, and the positive system stabilization problem of the original system is transformed into the control problem under augmented system asynchronously switching. System, the sufficient and sufficient conditions for the augmented system to be positive and stable under the average dwell time switching are obtained, and then the controller is designed to ensure the positive and the stability of the closed-loop system. The sufficient conditions obtained can be transformed into the standard linear programming problem , Using the linprog toolbox of Matlab to solve.Finally, the simulation results show the validity of the results obtained.