Modal synthesis of digital control systems with delays

Abstract

The article presents techniques for constructing and using  the vector Lyapunov functions and vector norms, modal synthesis of digital control with delay and incomplete discrete measurement of the state of linear stationary continuous plants. The use of two vector norms ensures the effectiveness of the presented method in solving practical problems with convenient calculation of quantitative estimates of the quality of a closed-loop system. The objective of the analytical synthesis is to provide the required quality estimates for a multivariate system with multiple, multi-tempo quantization and delay during situational adaptive-robust self-tuning. The Luenberger canonical forms are used, which are generated using the computer Gram-Schmidt orthogonalization procedure. The combination of adaptive and robust control implemented in self-tuning of a digital dynamic controller is discussed.