This study proposes the problem of external disturbance compensation control for a class of discrete-time linear multi-channel systems affected by both input and output disturbances. It is assumed that the control plant and the external disturbance signals have known parameters; however, the system states cannot be directly measured. The solution to this problem is based on the use of the Francis equation and a discrete-time PID observer. A full-order observer with unknown input signals (Discrete-Time PID Observer) is synthesized to solve the problem of estimating the state vector of the system when the system is affected by external disturbances on both the input and output. Based on the Francis equation, a regulator is designed to compensate for external disturbances, ensuring the robust

Ты К. (науч. рук. Дударенко Н.А.) Compensation of input and output disturbances for mimo discrete-time systems with unmeasured state vector // Сборник тезисов докладов конгресса молодых ученых. Электронное издание. – СПб: Университет ИТМО, [2025]. URL: https://kmu.itmo.ru/digests/article/14478