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Output-Feedback Stabilization Control of Systems with Random Switchings and State Jumps

机译:具有随机切换和状态跳跃的系统的输出反馈稳定控制

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摘要

The work is concerned with output-feedback stabilization control problem for a class of systems with random switchings and state jumps. The switching signal is supposed to obey Poisson distribution. Firstly, based on the asymptotical property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities. Finally, a simulation example is given to demonstrate the effectiveness of our method.
机译:该工作涉及一类具有随机切换和状态跳变的系统的输出反馈稳定控制问题。开关信号应该服从泊松分布。首先,基于切换点分布的渐近性质,我们得出了一些充分的条件,以保证闭环系统几乎肯定是指数稳定的。然后,我们提出一种参数化方法,将输出反馈控制的构造条件转换为一系列矩阵不等式。最后,给出了一个仿真实例来证明我们方法的有效性。

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