# Q3 An actuator has a time-varying dynamics. It is controlled with a proportional controller. The clo

Q3 An actuator has a time-varying dynamics. It is controlled with a proportional controller. The closed-loop system can be described by the system shown in the block-diagram below: a sin(cot) 1 (s+1)2 y If the control signal is thus given by: u)(rt)-y{})asin{ot)). closed-loop system is BIBO stable. Justify your answer Hint (Use the small gan theorem) Show that if (a1