Abstract

Network-based control systems have been emerging technologies in control and computer communication fields over the past decade. This paper focuses on the analysis and design of network-based control systems with binary modulation. First, it is shown that different modulations can result in different delays which are inevitable in network-based control systems. The delay can be seen as constant delay when the transmission time is the main consideration. Second, channel noise can result in bit error while bit error is seen as active packet loss in this paper, in this context, the conditions of signal-to-noise ratio (SNR) for binary modulation that can guarantee the stability of systems are obtained according to the proposed algorithm. Third, the system with delay and noisy communication can be modeled as an asynchronous dynamic system (ADS); in addition, the stability is analyzed and controller is designed in terms of Lyapunov function and linear matrix inequality (LMI) scheme. Finally, without loss of generality, numerical simulation demonstrates the effectiveness of the proposed scheme and designed controller based on binary amplitude shift keying (2ASK) modulation.

Highlights

  • Network-based control systems, closing their feedback loops via networks or other shared communication mediums, have attracted much attention among researchers and engineers in the past decade

  • This paper focuses on the analysis and design of network-based control systems with binary modulation

  • It is worth considering that signal-to-noise ratio (SNR) is an important performance index in signal transmission, and it is often ignored by many control system engineers

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Summary

Introduction

Network-based control systems, closing their feedback loops via networks or other shared communication mediums, have attracted much attention among researchers and engineers in the past decade. Different from delta modulation which is used for data compressing, this modulation scheme is applied to transmit signals according to the transmission requirements and environments In this field, not many scholars pay their attention on network-based control systems with modulation. It is worth considering that SNR is an important performance index in signal transmission, and it is often ignored by many control system engineers In this context, the network-based control systems with time delay and channel noise can be modeled as an asynchronous dynamic system (ADS) based on bit error rate (i.e., active packet loss rate) in system design. The former does not affect the control systems as it is filtered in the demodulator side while the latter is the inherent noise that cannot be filtered in advance in control system design

System Dynamics
Communication Channel Characteristics
Stability Analysis and Controller Design
Related Definitions and Lemmas
Stability Analysis
Numerical Simulation
Conclusion and Discussion
Conflict of Interests

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