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Quantized stabilization of discrete-time systems in a networked environment

机译:网络环境中离散时间系统的量化稳定

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This paper is concerned with the problem of output feedback stabilization for a class of discrete-time systems with sector nonlinearities and imperfect measurements. A unified control law model is proposed to take the network-induced delay, random packet dropout and measurement quantization into consideration simultaneously. By choosing appropriate Lyapunov functional, a new stability condition, which is dependent on multiple network status, is established for the resulting closed-loop system. Based on the result, a design criterion for the static output feedback controller is formulated in the form of nonconvex matrix inequalities, and the cone complementary linearization (CCL) procedure is exploited to solve the nonconvex feasibility problem. Incidentally, a less conservative synthesis method is also developed for the state feedback stabilization purpose. Finally, two illustrative examples are provided to illustrate the effectiveness and applicability of the proposed design method.
机译:本文关注的是一类具有扇区非线性和不完美测量的离散时间系统的输出反馈稳定问题。提出了一种统一的控制律模型,同时考虑了网络引起的时延,随机丢包和测量量化。通过选择适当的Lyapunov功能,可以为所得的闭环系统建立取决于多个网络状态的新稳定性条件。根据结果​​,以非凸矩阵不等式的形式制定了静态输出反馈控制器的设计准则,并利用锥互补线性化(CCL)程序解决了非凸可行性问题。顺便提及,出于状态反馈稳定化的目的,还开发了一种不太保守的合成方法。最后,提供了两个说明性示例,以说明所提出的设计方法的有效性和适用性。

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