Analysis and Control of Linear Systems - Chapter 0 pptx

... systems analysis and control of linear systems/ edited by Philippe de Larminat. p. cm. ISBN-13: 97 8-1 - 905 20 9-3 5-4 ISBN- 10: 1-9 05 20 9-3 5-5 1. Linear control systems. 2. Automatic control. I. Larminat, ... TJ2 20. A5313 200 6 629.8'32 dc22 200 603 3665 British Library Cataloguing-in-Publication Data A CIP record for this book is av...

Ngày tải lên: 09/08/2014, 06:23

... 1.24, 1.25 and 1.26 illustrate the diagrams presenting the aspect of the frequency response for a second order system with different values of ξ . 10 0 -1 0 -2 0 -3 0 0 -4 5 -9 0 -1 35 -1 80 1 T 1 1 T 2 Module ... ) 21 yu pjf Hp jf 40 Analysis and Control of Linear Systems 1.6.4. Laplace transforms of ordinary causal signals x(t) X(...

Ngày tải lên: 09/08/2014, 06:23

... 144 Analysis and Control of Linear Systems On the other hand, the Fourier transform preserves the energy (Parseval theorem). Indeed, the energy of a continuous-time signal y(t) or of a discrete-time ... 2πν 0 , then the power spectrum is almost zero in the proximity of ν 0 . 142 Analysis and Control of Linear Systems A discrete-time deterministic signal y[k],...

Ngày tải lên: 09/08/2014, 06:23

... ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ ∂∂ ∂ ∂ ∂∂ ∂∂ ∂ C 1 0 Y 0 X 1 0 A BA BA B 11 01 01 01 01 00 c c c y y x x x . 0 0a0 b0a0 b0a b ba bbaa 0bb0aa 00 b00a # # # # %# %#%# %## # %#%# %#%# %#%# %" "" ... ⎥ ⎥ ⎥...

Ngày tải lên: 09/08/2014, 06:23

... Consequently, this type of control favors the selection of short sampling periods and it proves to be well-adapted to the control of fast electro-mechanical systems (machine-tool, high-speed machining, ... function + ramp + parabola Step function 0 0 0 Ramp Cte ≠ 0 0 0 Parabola ∞ Cte ≠ 0 0 Table 12.1. Error p sw − for a non-integrator system 12.3.5. Structure...

Ngày tải lên: 09/08/2014, 06:23

... () ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎝ ⎛ = ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ ⎛ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ ⎛ = ∆ 0 0: 00 00 00 00 00 00 212 121 21 2 1 2 1 2 1 2 1 2 DC DC BBA I Q R sG I Q R sG o o MCCc c H Methodology of the State Approach Control 423 mode )(tm on )(tz ... (): 0 ee ss ee ss WW WW es WW WW AB B AB AB Gs C D D Ws Ws CD CD CD ⇓ ⎡⎤ ⎢⎥ ⎢⎥ ⎡ ⎤ ⎢⎥ ⎢ ⎥ ⎢⎥ == ⎢ ⎥ ⎢⎥ ⎢ ⎥ ⎢⎥ ⎣ ⎦ ⎢...

Ngày tải lên: 09/08/2014, 06:23

... stability of the system [3.16] without explicitly calculating the poles of H(q), by simple examination of coefficients n aaa ,,, 21 " with the help of Table 3.4. 01 2 22 01 01 10 01 00 01 0 12 0 01 01 1 1 0 with: n nnn nn knnk nn k knnk n k aaa ... Theory and application of the z-transform, John Wiley, 1964. [LAR 02 ] DE LARMINAT P. (ed.), Commande des systè...

Ngày tải lên: 09/08/2014, 06:23

... ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ − = 00 10 00 01 200 0 00 00 0 100 00 00 cc BA The general structure of matrices (A c , B c ) in Brunovsky’s canonical form is the following: { } ⎡⎤ ⎡ ⎤ == ⎢⎥ ⎢ ⎥ ⎢⎥ ⎣ ⎦ ⎣⎦ 0 {} 0 0 ci ci non ... Properties of Linear Systems 123 with: ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ = 1 0 0 0 ,...

Ngày tải lên: 09/08/2014, 06:23

... returns to 0, but at the expense of a stronger control. 176 Analysis and Control of Linear Systems Figure 6.6. Stabilization by quadratic optimization 166 Analysis and Control of Linear Systems ... the condition of detectability by a careful choice of matrix Q. 162 Analysis and Control of Linear Systems case of multi -control systems. A...

Ngày tải lên: 09/08/2014, 06:23

... unit-step response given in Figure 7.6. 1. Rise time is defined between instants t 1 and t 2 such as s(t 1 )=s(t − 0 ) +0. 1 K ∆E, s(t 2 )=s(t − 0 ) +0. 9 K ∆E. 226 Analysis and Control of Linear Systems Finally, ... K 1  N 10  1+ 1 2 n 1 N 10  [7.21] 222 Analysis and Control of Linear Systems iteration, unstable), interrupt the simulation and the calcula...

Ngày tải lên: 09/08/2014, 06:23