... feedback.) 91239.indb 83 10/12/09 1 :42 : 34 PM 78 ◾ Essentials of Control Techniques and Theory 7.2 Sine-Wave Fundamentals Sine-waves and allied signals are the tools of the trade of classical control. ey can be ... between output and input magnitude, and a phase shift. –1 4j –1 2j –1 0j –1 –2j –0.5 4j –0.5 2j –0.5 0j –0.5 –2j 0 –2j 0.5 –2j 1 –2j –1 –4j –0.5 –4j...
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... τ 3 ) Figure 15 .4 Superposition of impulse responses. 91239.indb 208 10/12/09 1 :45 :44 PM 228 ◾ Essentials of Control Techniques and Theory 3. Observable but not controllable 4. Neither controllable ... system is made of. Maybe we can get the best of both worlds. 91239.indb 215 10/12/09 1 :45 : 54 PM 202 ◾ Essentials of Control Techniques and Theory it ca...
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Essentials of Control Techniques and Theory_11 potx
... effect of aliasing. 91239.indb 2 74 10/12/09 1 :47 :57 PM 268 ◾ Essentials of Control Techniques and Theory are of infinite height. Could these pulses be made broader and finite? A “genuine” discrete controller ... 10/12/09 1 :48 :00 PM 276 ◾ Essentials of Control Techniques and Theory w z z = − + 21 1τ from which z w w = + − 2 2 τ τ and finally the z-plane...
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Essentials of Control Techniques and Theory_12 potx
... Lines of constant damping factor and of constant undamped natural frequency. 91239.indb 2 84 10/12/09 1 :48 :12 PM 292 ◾ Essentials of Control Techniques and Theory Q 21.1.1 Show that with an H(s) of ... “derivative” Signal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Figure 21.6 A signal is quantized and then differences are taken. 91239.indb 2 94 10/12/09 1 :48 :25 PM 30...
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Essentials of Control Techniques and Theory_1 potx
... reality. 91239.indb 64 10/12/09 1 :41 : 54 PM 44 ◾ Essentials of Control Techniques and Theory Non-contact variations on the potentiometer principle include Hall-effect devices that sense the varying angle of a ... (Figure 4. 4). Our input controls the acceleration of the motor. We can define state variables to be the position and velocity, x and v. 91239.indb 46 10/...
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Essentials of Control Techniques and Theory_6 potx
... terms 13 1 1 2 1 + + =+ + s s s s 1 3 t = 0 t = 1 Figure 14. 2 Step response of (1 + 3s)/(1 + s). 91239.indb 196 10/12/09 1 :45 :27 PM 1 94 ◾ Essentials of Control Techniques and Theory So the transfer function of a system corresponds ... 91239.indb 182 10/12/09 1 :45 :07 PM 196 ◾ Essentials of Control Techniques and Theory Now the unit impulse is the time-de...
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Essentials of Control Techniques and Theory_1 pptx
... Acceleration 44 4. 4 Output Transducers 44 4. 5 A Control Experiment 46 5 Adding Control 49 5.1 Introduction 49 5.2 Vector State Equations 49 5.3 Feedback 52 5 .4 Another Approach 53 5.5 A Change of Variables ... 8 10/12/09 1 :40 :45 PM Essentials of Control Techniques and Theory 91239.indb 1 10/12/09 1 :40 :29 PM This page intentionally left blank 6 ◾ Essen...
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Essentials of Control Techniques and Theory_5 docx
... (a + 3jω)/ (3a + jω). 91239.indb 94 10/12/09 1 :42 :53 PM 118 ◾ Essentials of Control Techniques and Theory We can save a lot of typing if we define the length of the stick to be one meter. To find ... 1 04 ◾ Essentials of Control Techniques and Theory added together. We know that in evaluating the determinant of A, we can add combinations of columns togethe...
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Essentials of Control Techniques and Theory_6 docx
... pinch of salt. 91239.indb 129 10/12/09 1 :43 :51 PM II ESSENTIALS OF CONTROL THEORY WHAT YOU OUGHT TO KNOW 91239.indb 131 10/12/09 1 :43 :51 PM 142 ◾ Essentials of Control Techniques and Theory Integrating ... complex, and we can take the sum of complex exponentials: ft ce n n T jt n () .= =−∞ ∞ ∑ π (10.8) 91239.indb 144 10/12/09 1 :44 :15 PM 146 ◾ Essentia...
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Essentials of Control Techniques and Theory_7 pdf
... 11. 14 Whiteley plot of 1/s(s + a) with mapping of frequency plane “return semicircle” added. 91239.indb 161 10/12/09 1 :44 :44 PM 170 ◾ Essentials of Control Techniques and Theory var ds=. 04; var ... 0.8 M = 0 .4 M = 0.2 M-circles M = 3 M = 4 M = 5 M = 6 Figure 11 .4 M-circles. 91239.indb 152 10/12/09 1 :44 :31 PM 1 74 ◾ Essentials of Control Techniques an...
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