Quantized analysis and control of continuous linear time invariant system based on input delay
                                                          CHEN Jun, CHEN Hai fei, GAO Jin feng
              (School of Mechanical Engineering and Automation, Zhejiang Sci Tech University, Hangzhou 310018, China)

Abstract: Aiming at the stabilization of networked control systems(NCSs) subject to both network induced delays and data quantization error, the three aspects of system modeling, stability analysis and controller design were studied respectively. Based on logarithmic quantized feedback controller and the working mechanism of zero order hold(ZOH), utilizing sector bound approach, the NCSs was modeled as a time delay system with input delay. Among them, both sensor to controller(S C) channel and controller to actuator(C A) channel of NCSs was separately jointed the logarithmic quantizer, to quantify system state signal and control input signal respectively. By utilizing the Lyapunov stability theory to propose a kind of Lyapunov Krasoskii function, then the corresponding stability condition was obtained, this condition was described by two sets of linear matrix inequalities(LMIs). Based on this stability condition, the corresponding quantized feedback controller was designed to guarantee the closed loop systems stochastic stable. The results indicate that the density of two quantizers directly affect the control performance of the system.

Key words: networked control systems(NCSs); network induced delays; quantized feedback control; stabilization; sector bound approach