Error code analysis and selection principle of M-ary modulation in network-based control systems

Abstract

Error codes induced by M-ary modulation and modulation selection in network-based control systems are studied. It is the first time the issue of error codes induced by M-ary modulation is addressed in control field. In network-based control systems, error codes induced by noisy channel can significantly decrease the quality of control. To solve this problem, the network-based control system with delay and noisy channel is firstly modeled as an asynchronous dynamic system (ADS). Secondly, conditions of packet with error codes (PEC) loss rate by using M-ary modulation are obtained based on dynamic output feedback scheme. Thirdly, more importantly, the selection principle of M-ary modulation is proposed according to the measured signal-to-noise ratio (SNR) and conditions of PEC loss rate. Finally, system stability is analyzed and controller is designed through Lyapunov function and linear matrix inequality (LMI) scheme, and numerical simulations are made to demonstrate the effectiveness of the proposed scheme.

Keywords

network-based control system / asynchronous dynamic system (ADS) / M-ary modulation / delay / error code / linear matrix inequality (LMI)

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