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Sliding Mode Control of Uncertain Switched Systems with Partly Known Sojourn Probabilities

机译：具有部分已知逗留概率的不确定切换系统的滑模控制

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This paper is concerned with the sliding mode control (SMC) problem for a class of uncertain switched systems subject to partly known sojourn probabilities. The sojourn probability is the probability of a switched system staying in each subsystem, which may be available or unavailable. A key issue is how to design a sliding mode controller to guarantee the stability performance of the reconstructed switched systems subject to the partly known sojourn probabilities. To this end, by using a set of stochastic variables, the switched system model is reconstructed with partly known sojourn probabilities. And then, the sliding mode control law is constructed to ensure the reachability of the designed common sliding surface. Furthermore, the sufficient condition is derived to ensure the mean-square stability of the closed-loop system under the partly unknown sojourn probabilities. Finally, a numerical example is provided to illustrate the proposed method.
机译：本文涉及一类不确定的切换系统的滑模控制（SMC）问题，该系统受部分已知的隐居概率的影响。逗留概率是交换系统停留在每个子系统中的概率，该概率可能是可用的，也可能是不可用的。一个关键问题是如何设计一种滑模控制器，以保证重建开关系统的稳定性能受到部分已知的隐居概率的影响。为此，通过使用一组随机变量，以部分已知的驻留概率来重建交换系统模型。然后，构造滑模控制律以确保设计的通用滑动面的可达性。此外，导出了充分的条件以确保在部分未知的驻留概率下闭环系统的均方稳定性。最后，提供了一个数值示例来说明所提出的方法。

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