<![CDATA[Using the EOM for Configuration you derived in the previous lab, linearize the system dynamics following the procedure presented above about a generic steady-state operating condition with pump speed Üp and water height hl. Use the modified version of the pump mass flow rate equation from (1.2.7) so that the EOM is]]><![CDATA[25 points) From this linearized EOM, express the open-loop system dynamics in the standard first-order transfer function form from (1.3.6). Let y Ahl and u Avp. Identify expressions for the DC gain K DC and the time constant T. ]]><![CDATA[(25 points) Determine the closed-loop transfer function for the water level of Tank 1 using PI control, as in (1.3.8), in terms of the open-loop parameters, K DC and T, and the controller parameters, kp and kt. (25 points) Compare the denominator of your closed-loop transfer function with the denominator of the standard form from (1.3.10) to determine lcp and ki as functions of K DC, T, wn, and (. You will use these expressions in this lab to design the PI control gains based on control specifications for percent overshoot and peak time.]]>
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