B2. An open-loop system has three poles and one zero, as shown in Figure B2. The open- loop transfer function has a DC g

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B2 An Open Loop System Has Three Poles And One Zero As Shown In Figure B2 The Open Loop Transfer Function Has A Dc G 1 (40.39 KiB) Viewed 48 times

B2. An open-loop system has three poles and one zero, as shown in Figure B2. The open- loop transfer function has a DC gain of 1. Х Х s-plane Figure B2. (a) For the above open-loop system, write down its transfer function. Then derive the expression of the closed-loop transfer function, when a Proportional controller and a negative unity feedback are applied to form the closed-loop system. [9] (b) Determine the range of the Proportional gains that guarantees a stable closed- loop system, using the Routh-Hurwitz criterion. [11] MECH 303 PAGE 4 OF 6 (c) What is the stability boundary for the proportional gain? What are the closed- system poles at this particular gain? What is the system stability at this gain? [5]