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Analysis and Control of Linear Systems - Chapter 11 pptx

Analysis and Control of Linear Systems - Chapter 11 pptx

Analysis and Control of Linear Systems - Chapter 11 pptx

... −1Xmax{V,B(PU)} [11. 16] If P ≠ U, then: ∂−≥∂ 11 B(P U) B [11. 17] and since by construction: ∂<∂1VB [11. 18] ∂∂ − ≥∂ 11 max{ V, B (P U)} B [11. 19] 340 Analysis and Control of Linear Systems ... of the process leads to a rejection of oscillating interference. 364 Analysis and Control of Linear Systems )11. 0(22++=sssAB [11. 87] the setting and the interference being always steps ... ⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎣⎡−−+−−+−−+=⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣⎡−−−−−=−−−−−− 111 1 111 100001221010 000..000 100 010 00AnnnnnnnnnnnnBρρσττσρρσττσρρσττσσσσσσ####%%####%%%####%%% [11. 59] 11. 4.3. Management of saturations 11. 4.3.1....
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Analysis and Control of Linear Systems - Chapter 0 pptx

Analysis and Control of Linear Systems - Chapter 0 pptx

... Congress Cataloging-in-Publication Data [Analyse des systèmes linéaires/Commande des systèmes linéaires. eng] Analysis and control of linear systems analysis and control of linear systems/ edited ... systems/ edited by Philippe de Larminat. p. cm. ISBN-13: 97 8-1 -9 0520 9-3 5-4 ISBN-10: 1-9 0520 9-3 5-5 1. Linear control systems. 2. Automatic control. I. Larminat, Philippe de. TJ220.A5313 2006 ... and Ao 357 11. 5.4. Examples 363 11. 6. Conclusion 370 11. 7. Bibliography 370 xii Analysis and Control of Linear Systems Chapter 12. Predictive Control 373 Patrick BOUCHER and Didier DUMUR...
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Analysis and Control of Linear Systems - Chapter 1 pptx

Analysis and Control of Linear Systems - Chapter 1 pptx

... values of ξ. 100 -1 0 -2 0 -3 00 -4 5 -9 0 -1 35 -1 801T11T2Module (dB)Phase (degree) Figure 1.23. Bode diagram of a second order system with ξ ≥ 1 20 Analysis and Control of Linear Systems ... of Linear Systems Figure 1.19. Unit-step response of the second order system ξ ≥ 1 1=ξ: critical state. The roots of the denominator of the transfer function are real and merged, and ... unit-step response is: −⎛⎞⎛⎞⎜⎟=−+⎜⎟⎜⎟⎝⎠⎜⎟⎝⎠00() 1 1tTtit K eT Figure 1.20. Unit-step response of the second order system ξ < 1 22 Analysis and Control of Linear Systems...
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Analysis and Control of Linear Systems - Chapter 5 pptx

Analysis and Control of Linear Systems - Chapter 5 pptx

... 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 ... proximity of ν0.142 Analysis and Control of Linear Systems A discrete-time deterministic signal y[k],k ∈Zis, by definition, a sequence of complex numbers:y =y[k]k∈ZIn short, we often speak of ... y2)=y1y2[5.9]152 Analysis and Control of Linear Systems Figure 5.1. Typical power spectrum of an MA (left)or AR (right) modelIn the case of a single denominator (nc=0), we talk of an AR (autoregressive)model,...
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Analysis and Control of Linear Systems - Chapter 12 pptx

Analysis and Control of Linear Systems - Chapter 12 pptx

... plane, of the direct sensitivity functions dσ and complementary sensitivity functions cσ: )()()()()()()()( 111 111 111 −−−−−−−−−+∆∆=qRqBqqqSqAqqSqAdσ [12.13] )()()()()()()( 111 111 111 −−−−−−−−−+∆=qRqBqqqSqAqRqBqcσ ... which are obtained by equality of the inputs and output of transfer functions of equations [12.1] and [12.3] and they are solved recursively: )()()()(1)()()()( 111 1 111 1−−−−−−−−−−=+=+∆qJqBqHqqGqFqqJqAqjjjjjjj ... output of the system will have to follow: )()()()( 111 twqBqtyqArrr−−−= [12.17] where:)()()( 111 −−−= qPqBqBr. 376 Analysis and Control of Linear Systems 12.2. Generalized predictive control...
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Analysis and Control of Linear Systems - Chapter 13 pptx

Analysis and Control of Linear Systems - Chapter 13 pptx

... )(tm and consequently the rejection of the 412 Analysis and Control of Linear Systems the zeros of transmission of )(12sG and )(21sG . In addition, the remaining invariant zero are non-controllable ... operation environment of the system. 422 Analysis and Control of Linear Systems Theorem 13.3 (2H REGULATOR AND INTERNAL MODEL).– let us suppose satisfied the hypotheses of the generalized ... respectively the 0 order blocker and the sampling operator in accordance with Chapter 3. 438 Analysis and Control of Linear Systems respect to uncertain parameters and thus to increase to a certain...
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Analysis and Control of Linear Systems - Chapter 3 pps

Analysis and Control of Linear Systems - Chapter 3 pps

... 104 Analysis and Control of Linear Systems Figure 3.5. Bode diagram of the continuous system and its discretization 3.4.5. The problem of sub-sampling Let us consider the case of a “standardized” ... in is the multiplicity order of and ith the eigenvalue of A. 5 A canonical form called controllable companion. 88 Analysis and Control of Linear Systems Hence, if we suppose that ... from the z-transform of this impulse response. 102 Analysis and Control of Linear Systems Due to this relation and Table 3.5, we will be able to easily obtain the transfer function of the discretized...
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Analysis and Control of Linear Systems - Chapter 4 ppt

Analysis and Control of Linear Systems - Chapter 4 ppt

... eigenvalues of A appear (certain powers lij being then equal to 0): 110 Analysis and Control of Linear Systems The object of this chapter is to describe certain structural properties of linear systems ... and intersection of sub-spaces (the sum and intersection of two A-invariant sub-spaces are A-invariant). Consequently, for any L ⊂ X sub-space, there is a bigger A-invariant (unique) sub-space ... the use of rollouts and in particular the fixed poles and the remaining degrees of freedom, we can mention [MAL 93, MAL 97] and [MAR 94, MAR 99]. 126 Analysis and Control of Linear Systems...
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Analysis and Control of Linear Systems - Chapter 6 ppsx

Analysis and Control of Linear Systems - Chapter 6 ppsx

... the condition of detectability by a careful choice of matrix Q. 162 Analysis and Control of Linear Systems case of multi -control systems. As indicated in Chapter 2, the equations of state can ... control. 176 Analysis and Control of Linear Systems Figure 6.6. Stabilization by quadratic optimization 166 Analysis and Control of Linear Systems Figure 6.4. Structure of the observer ... Control by state feedback and observer 2 The name LQG (that stands for Linear- Quadratic-Gaussian) control is sometimes used to designate this type of control. It obviously refers to one of...
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Analysis and Control of Linear Systems - Chapter 7 docx

Analysis and Control of Linear Systems - Chapter 7 docx

... from the point of view of calculation, in terms of linear regression (or linearized), i.e. it leads to a quadratic196 Analysis and Control of Linear Systems in performing the roles of the procedure, ... [7.44]Two parameters must be identified: the static gain of system K and the time con-stant τ.216 Analysis and Control of Linear Systems so-called “shaper” filter whose input, imaginary signal, ... K1N101+12n1N10[7.21]222 Analysis and Control of Linear Systems iteration, unstable), interrupt the simulation and the calculation of sensitivity func-tions, hence of the gradient, on a preset...
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