Optimal Tracking Performance Analysis of MIMO Control Systems Under Multiple Constraints

This article is concerned with the optimal tracking performance on linear time-invariant (LTI) discrete-time multi-input-multi-output (MIMO) systems based on quantization, channel noise, and encoding-decoding, as well as bandwidth constraints. Meanwhile, power constraint, feedback and feedforward loops constraints of the systems are also taken into account. The tracking performance expression is described by inner-outer factorization, which is obtained by all stabilizing two-degree-of-freedom compensators. The results will illustrate that tracking performance limitation is decided by nonminimum phase zeros and unstable poles of the given plant. Moreover, time delay, encoding-decoding, channel noise, quantization, and bandwidth constraints also impact the performance. The accuracy of the method is verified by simulation examples.

Automated summary

This article focuses on the optimal tracking performance of linear time-invariant discrete-time MIMO systems considering factors such as quantization, channel noise, encoding-decoding, and bandwidth constraints. The expression of tracking performance is described using inner-outer factorization obtained by stabilizing two-degree-of-freedom compensators. The limitations of tracking performance are determined by nonminimum phase zeros and unstable poles of the plant, while factors like time delay, encoding-decoding, channel noise, quantization, and bandwidth constraints also play a role in impacting performance.