hw13s - 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 Solutions Assigned: Tuesday, 25 Nov. 2008 Problem 1) Problem 8.1 Due: Tuesday, 2 Dec. 2008, 5:00 pm Problem 2) Problem 8.2 Problem 3) Problem 8.9 Problem 4) Problem 8.15 Problem 5) Problem 8.22 (No 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. See textbook examples. Problem 7) Assume a discrete time system 1 , 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 . 1 b) Determine conditions on for which this is possible. Discuss potential drawbacks To use the inverse plant model, the model needs to be minimum phase and causal. c) Determine the necessary controller to achieve deadbeat control in a closed loop scenario. In other words, determine such that results in 1 1 1 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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