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STABILITY ANALYSIS OF QUANTIZED FEEDBACK CONTROL SYSTEM

机译：量化反馈控制系统的稳定性分析

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This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a newly developed and versatile Lyapunov function analyzing approach for networked and quantized control systems (NQCSs). The common aim is to demonstrate that a unified study of quantization and delay effects in an uncertain system is possible by merging the quantized control law. A new delays-independent stability criterion is derived in terms of linear matrix inequality (LMI) which can be easily solved. This paper describes a system for the stability analysis of the uncertain systems subject to quantization and time-delay. Moreover, a sufficient condition for the existence of a guaranteed cost controller for NCSs is also presented by a set of LMIs. Both theoretical analysis and numerical examples show that the results in this paper are generally less conservative than those in the quadratic framework.
机译：本文研究了具有状态量化器的严格反馈形式中非线性系统的反馈控制问题，该状态量化器是静态的，由扇区界定。通过新开发和多功能的Lyapunov功能分析网络和量化控制系统（NQCSS）的方法。共同目标是通过合并量化的控制法，可以证明对不确定系统中的量化和延迟效应的统一研究。在可以容易解决的线性矩阵不等式（LMI）方面，推导出新的延迟无关的稳定性标准。本文介绍了一种经受量化和时滞的不确定系统的稳定性分析的系统。此外，一组LMIS还呈现了用于NCSS的保证成本控制器的充分条件。理论分析和数值示例都表明，本文的结果通常较低的保守性而不是二次框架中的结果。

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