Stability Analysis of Quantized Feedback Control System

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 605-607)
• Pages: 1845-1850
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.605-607.1845
• Online since: December 2012
• Authors: Dong Song Luo, Xin Ke Hu, Yi Wei Feng
• Keywords: Asymptotic Stability, NQCSS, Uncertainty

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