Sampled data analysis and control of DC DC switching converters

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... 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 Linear control systems Automatic control I Larminat, Philippe de TJ2 20. A5313 200 6 ... 200 6 629.8'32 dc22 200 603 3665 British Library Cataloguing-in-Publication Data A CIP record for this book is available from the British Library ISBN...

Ngày tải lên: 09/08/2014, 06:23

... values of ξ 10 -1 0 -2 0 Phase (degree) -3 0 -4 5 -9 0 -1 35 -1 80 T1 T2 Figure 1. 23 Bode diagram of a second order system with ξ ≥ 32 Analysis and Control of Linear Systems Figure 1. 24 Bode diagram of ... ) πfT0 41 42 Analysis and Control of Linear Systems 1. 7 Bibliography [AZZ 88] D’ÀZZO J.J., HOUPIS C.H., Linear Control System An...

Ngày tải lên: 09/08/2014, 06:23

... parts The analysis and manipulation of signals and discrete-time systems are presented in sections 3. 2 and 3. 3 The discretization of continuous-time systems and certain concepts of the sampling ... rows of the table ( a0 , b0 , c0 , etc.) are all strictly positive 94 Analysis and Control of Linear Systems NOTE 3. 3.– the class of rational systems th...

Ngày tải lên: 09/08/2014, 06:23

... 110 Analysis and Control of Linear Systems The object of this chapter is to describe certain structural properties of linear systems that condition the resolution of numerous control problems ... Journal of Control, vol 72, no 15, p 139 2-1 40 1, 1999 [MOR 73] MORSE A.S., “Structural invariants of linear multivariable systems , SIAM Journal of Control...

Ngày tải lên: 09/08/2014, 06:23

... zero of a module close to and of argument 2π ν0 , then the ˘ power spectrum is almost zero in the proximity of ν0 152 Analysis and Control of Linear Systems Figure 5. 1 Typical power spectrum of ... y2 [5. 9] 144 Analysis and Control of Linear Systems On the other hand, the Fourier transform preserves the energy (Parseval theorem) Indeed, the energy of a c...

Ngày tải lên: 09/08/2014, 06:23

... case of multi -control systems at the expense of additional developments (see [DOR 95, FRI 86] ) 188 Analysis and Control of Linear Systems Figure 6. 10 Control by the observer, compared to control ... stronger control 1 76 Analysis and Control of Linear Systems Figure 6. 6 Stabilization by quadratic optimization Kalman’s Formalism for State Stabiliza...

Ngày tải lên: 09/08/2014, 06:23

... 0.35 0. 37 0.38 0.39 0.40 0.4 07 0.413 T u /T n 0.104 0.22 0.32 0.41 0.49 0. 57 0.64 0 .71 0 .77 T n /τ 2 .7 3 .7 4.46 5.12 5 .7 6.2 6 .7 7.2 7. 7 T u /τ 0.28 0.8 1.42 2.1 2.81 3.55 4.31 5.08 5. 87 ti /τ ... N20 + n2 [7. 18] Qe = Qe0 + Q0 [7. 19] Qs1 = K1 [7. 20] N10 + n1 The limited development of the square root leads to: Qs1 = K1 N10 + n1 N10 [7. 21] 202 Analysis and Contro...

Ngày tải lên: 09/08/2014, 06:23

... 2 28 Analysis and Control of Linear Systems 8. 1.1 About linear equations The specific techniques of linear differential equations are fundamentally ... extension of the notations introduced at the 236 Analysis and Control of Linear Systems beginning of this chapter, we will deal with equations of the form: ◦ x (t) = f (x, t), x(t0 ) = x0 [8. 29] ... wher...

Ngày tải lên: 09/08/2014, 06:23

... Linear Systems Then, we create Table 9. 1 (with n + rows) an an-2 an-4 … an-1 an-3 an-5 … b1=an-2 -an an-3 /an-1 b2=an-4 -an an-5 /an-1 b3=an-6 -an an-7 /an-1 … c1=an-3 -b2 an-1 /b1 c2=an-5 -b3 an-1 ... approximations [9. 10] and [9. 11]: If µ ( jω ) β ( jω ) >> then S ( jω ) ≈ E ( jω ) β ( jω ) [9. 10] If µ ( jω ) β ( jω )

Ngày tải lên: 09/08/2014, 06:23

... 284 Analysis and Control of Linear Systems 10. 1.1 Analysis of systems behavior 10. 1.1.1 Static errors For a zero static error: – with respect ... Figure 10. 3 288 Analysis and Control of Linear Systems Figure 10. 3 Corrector in a looped system The control magnitude can be a function of ε , x, b or e Based on the signals considered and the ... system...

Ngày tải lên: 09/08/2014, 06:23

... of PGCD and PPCM of polynomials If G and L are respectively the PGCD and the PPCM of A and B (A, B, G and L ∈ℜ[x]), we will write: G = A ∧ B and L = A ∨ B 330 Analysis and Control of Linear Systems ... to the asymptotic follow-up of a step function setting (see section 11. 2.2) 340 Analysis and Control of Linear Systems Figure 11. 2 Choice of t...

Ngày tải lên: 09/08/2014, 06:23