MATLAB Simulation Example for Fixed Time-Delay System Consistency

In the following content, we provide a MATLAB simulation example for a fixed time-delay system to help better understand system consistency.

The system refers to a control system where the time delay is fixed, such as a robot that must wait for a specific duration before executing commands rather than acting immediately. This example considers a control system comprising a sensor, processor, and actuator, designed to move a robot toward a given target, for instance, cleaning the floor within a specified area. The MATLAB implementation models sensor data acquisition, processing algorithms with delay compensation, and actuator response mechanisms.

In this MATLAB simulation example, we demonstrate how simulation techniques can model the system's behavior. We construct a model that simulates the interactions between the sensor, processor, and actuator, while analyzing the impact of time delays on system performance. The code includes functions for delay modeling using transport delay blocks or buffer arrays, consistency analysis through stability metrics, and performance evaluation using error calculations. This approach enables better understanding of system consistency and identifies potential improvements for enhanced performance.

Note that this MATLAB simulation example is fully executable, allowing you to run it on your computer to better understand the performance and behavior of fixed time-delay systems. The implementation includes commented code sections explaining key algorithms such as delay insertion methods, consistency verification through Lyapunov stability analysis or convergence tests, and real-time performance visualization using MATLAB's plotting functions.