Modeling and Analysis of Quantized Feedback of Networked Control System

This paper studies the problem of stability for a class of networked control systems with the aperiodic transmission delays and the quantization errors. Under the assumptions that the system works under the Try-Once-Discard (TOD) protocol and the transmission delays are bounded, the entire system is modeled as a discrete system interconnected with a 2 x 2 block uncertainty, which is the typical structure in the robust control theory. With the approaches in robust control, three less conservative and easy to use results are derived by employing the small gain theorem, the Integral Quadratic Constraint (IQC) method and the mu tool, respectively. Finally, an illustrative example is presented to show the usefulness and effectiveness of the results.