hw13 - MEEN 651 Control System Design Homework 13 Discrete...

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Unformatted text preview: MEEN 651 Control System Design Homework 13: Discrete Time Control Systems Assigned: Tuesday, 25 Nov. 2008 Due: Tuesday, 2 Dec. 2008, 5:00 pm Do the following problem from "Feedback Control of Dynamic Systems" 5th ed., Franklin and Powell. Problem 1) Problem 2) Problem 3) Problem 4) Problem 5) Problem 8.1a,c Problem 8.2 Problem 8.9 Problem 8.15 Problem 8.22 (No Matlab) (Use Matlab) Do the following problems: Problem 6) Write down a difference equation for a discrete time PID controller, and determine its corresponding discrete time transfer function. Assume a discrete time system 1 , Problem 7) a) Determine the open-loop control signal necessary to achieve "deadbeat" control. In other words, determine only as a function of such that the output tracks a reference exactly after one time step, 1 . b) Determine conditions on for which this is possible. Discuss potential drawbacks. c) Determine the necessary controller to achieve deadbeat control in a closed loop scenario. In other words, determine such that results in 1 d) Verify with simulations that this your solution works for the specific case that . , with 0 0, and 0.1 . . ...
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