Essentials of Control Techniques and Theory 1 potx

... Linear region of the phase plane. 912 39.indb 71 10 /12 /09 1: 42 :11 PM 82 ◾ Essentials of Control Techniques and Theory Now the derivative of a sine-wave is another sine-wave (or cosine-wave) of the same ... n n mm m ++ ++ =+ ++ 1 1 2 2 01 1−− − uu. (7.3) 912 39.indb 85 10 /12 /09 1: 42:38 PM 84 ◾ Essentials of Control Techniques and Theory Now...

Ngày tải lên: 21/06/2014, 07:20

... (16 .5) Q 16 .3 .1 Perform the above operations on the matrix 01 65−−       then look back at Section 5.5. 912 39.indb 220 10 /12 /09 1: 46 :12 PM 224 ◾ Essentials of Control Techniques and Theory so ... system is made of. Maybe we can get the best of both worlds. 912 39.indb 215 10 /12 /09 1: 45:54 PM 202 ◾ Essentials of Control Techniques and...

Ngày tải lên: 21/06/2014, 07:20

... For 912 39.indb 277 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 poles and zeros of the controller ... fn() () ()=− 1 then the sum of the terms of g(n), gn fn fn fN f N N () () () () () 0 0 1 1 ∑ ∑ =−− =−− 912 39.indb 256 10 /12 /09 1: 47:23 PM 282 ◾ Es...

Ngày tải lên: 21/06/2014, 07:20

... and of constant undamped natural frequency. 912 39.indb 284 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 unity the system 1/ s(s + 1) ... of optimal control of a linear system. u = 1 u = +1 x . x Figure 22.2 Piecewise linear suboptimal controller. 912 39.indb 309 10 /12 /09 1: 48:46 PM 302 ◾...

Ngày tải lên: 21/06/2014, 07:20

... easily outperform them. BD CA Motor +12 v 0v Figure 4.3 Schematic of H-bridge. 912 39.indb 45 10 /12 /09 1: 41: 22 PM 50 ◾ Essentials of Control Techniques and Theory Unfortunately, there are many ... one component of input) the equation appears as:  xxu= −       +       01 0 0 ab . (5.3) 912 39.indb 50 10 /12 /09 1: 41: 27 PM 64 ◾ Essentials of...

Ngày tải lên: 22/06/2014, 04:20

... 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). 912 39.indb 19 6 10 /12 /09 1: 45:27 PM 19 4 ◾ Essentials of Control Techniques and Theory So the transfer ... best. Membership 0 10 0% 50% Positive large Positive small Near zero Negative small Negative large Input Figure 13 .1 A fuzzifier. 912 39.indb 18 4...

Ngày tải lên: 22/06/2014, 04:20

... with. 912 39.indb 8 10 /12 /09 1: 40:45 PM Essentials of Control Techniques and Theory 912 39.indb 1 10 /12 /09 1: 40:29 PM This page intentionally left blank 6 ◾ Essentials of Control Techniques and Theory a ... Chart 15 6 11 .9 e Inverse-Nyquist Diagram 15 8 11 .10 Summary of Experimental Methods 16 2 12 The Root Locus 16 5 12 .1 Introduction 16...

Ngày tải lên: 21/06/2014, 07:20

... uFyGv nn =+ n (8.2) 912 39.indb 10 1 10 /12 /09 1: 43:06 PM 10 8 ◾ Essentials of Control Techniques and Theory Now we propose to apply discrete feedback around the loop, making u(n) = –k x 1 (n), and so we find ... f*tiltrate; 912 39.indb 11 9 10 /12 /09 1: 43:43 PM 11 2 ◾ Essentials of Control Techniques and Theory Since our motor is a simple two-int...

Ngày tải lên: 21/06/2014, 07:20

... pinch of salt. 912 39.indb 12 9 10 /12 /09 1: 43: 51 PM II ESSENTIALS OF CONTROL THEORY WHAT YOU OUGHT TO KNOW 912 39.indb 13 1 10 /12 /09 1: 43: 51 PM 14 2 ◾ 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) 912 39.indb 14 4 10 /12 /09 1:...

Ngày tải lên: 21/06/2014, 07:20

... = 1+ s 2+s 1 G 1 G plane plane 1 1 Figure 11 .11 Whiteley plots for G = 1/ (1 + s) and G = 1/ (2 + s). 912 39.indb 15 9 10 /12 /09 1: 44:40 PM The Root Locus ◾ 17 1 copy(gain,oldgain); } } for(s[0]= -1. 58;s[0]< ;1. 6;s[0]+=ds){//then ... as 1 G 1 s(s+a) 1 G = Figure 11 .14 Whiteley plot of 1/ s(s + a) with mapping of frequency plane “return semicircle” added...

Ngày tải lên: 21/06/2014, 07:20