A novel optimal approach for control law of multi-rate systems with different rate operations

The main purpose of this study is to propose a method to achieve optimal response and performance of the multi rate systems in existence of different sampling rates and to avoid data losses in such systems. In this paper, a new approach based on the multi-rate digital system is proposed. Based on this method, we will be able to maintain optimal performance of these systems without losing data, in addition to establishing connections between subsystems with different sampling rates. By the proposed method, not only the effect of different sampling rates in multi-rate systems is ignored, but also, we can connect subsystems with different rate operations without compromising system performance and data loss which simplified system design and sensor selection by the digital system designers. This means the designer can choose any sensor without concerning about the sampling rate and the operation rate of the system and matching them together. Finally, a guided missile with different sampling rates between the seeker, autopilot, guidance law and the output feedback are simulated and its effective performance in pursuit, hitting and smooth motion toward the target in a motion scenario is shown.