# hw6-170 - T s = 2secs place the zero of the lead...

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MAE 170 Introduction to Control Systems A. Sideris Homework # 6 Due: Friday, November 20, 2009 before 12pm 1 Do Problems P10.5, P10.34, AP10.1, and AP10.4 in the text. Remarks 1. In P10.5, notice that PI compensator is used to achieve zero steady state error; other- wise the transient response specs can be met by pure gain compensator (i.e. K I = 0.) So ﬁnd ﬁrst K p to satisfy the PO% and settling time specs and then select K I so that the the dynamics of the PI compensator do not aﬀect signiﬁcantly the Root Locus. Simulate the step response in MATLAB and report achieved PO% and settling time. ( Change the plant to: 3 . 75 ( s + 0 . 15 )( 0 . 10s + 1 ) .) 2. In P10.34, take the settling time speciﬁcation to be
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Unformatted text preview: T s = 2secs ; place the zero of the lead compensator directly under the desired closed-loop pole location. Design the lag compensator afterwards to achieve K v = 100 and without changing the dominant closed-loop poles you achieved with the lead compensator signiﬁcantly. Simulate the step response in MATLAB and report achieved PO% and settling time. 3. In AP10.1 and AP10.4 simulate the step response in MATLAB for your designs and report achieved PO% and settling time. 1 Drop-oﬀ Location: 2nd ﬂoor of EG in front of elevator 1...
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