Impact of random variations in the sampling period on the stability of embedded control systems

Control of embedded systems is a key task in many industrial and technological applications, and their performance and stability are critically dependent on the ability to effectively implement control algorithms within limited computational and time resources. One of the main challenges in this area is the need to process data with a random variable that comes to processing randomly and with variable periodicity. This variability in the sampling period can cause a decrease in the quality of the control, which threatens the stability of the entire system. The article examines the limits to which this variability can be tolerated without losing the stability of the controlled system.

The study includes an analysis of systems dynamics with a variable sampling period and determining the necessary period of system discretization. It is also essential to consider the impact of the random component of the sampling period on the system’s transient response. The proposal is based on determining the permissible limits of the period change based on analysis and simulation.

The result of this research provides recommendations for the design and implementation of control systems that can maintain high-quality regulation even with unpredictable changes in sampling periodicity. The present article also opens space for further research in the field of control of systems with variable periodicity, especially regarding their practical implementation in real embedded devices.