Analysis and Control of Linear Systems - Chapter 14 pdf

... eigenvector placement which offers more degrees of freedom. 452 Analysis and Control of Linear Systems 14. 2.2.7. Summarization The analysis of the time behavior of a controlled system was done ... Figure 14. 5). Figure 14. 5. Area of the complex plane corresponding to the desired performances and to the constraints on the bandwidth 470 Analysis and Control o...

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... 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...

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... 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 ... diagram of a second order system with ξ ≥ 1 20 Analysis and Control of Linear Systems Table 1.1 sums up the features of a system’...

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... 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” ... i n is the multiplicity order of i λ and i th the eigenvalue of A. 5 A canonical form called controllable companion. 88 Analysis and Control of L...

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... eigenvalues of A appear (certain powers l ij 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...

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... proximity of ν 0 . 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∈Z In short, we often speak of ... 144 Analysis and Control of Linear Systems On the other hand, the Fourier transform preserves the energy (Parseval theorem). Indeed, the energy of a contin...

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... 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 ... at the expense of a stronger control. 176 Analysis and Control of Linear Systems Figure 6.6. Stabilization by quadratic optimization 166 Analysis a...

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... from the point of view of calculation, in terms of linear regression (or linearized), i.e. it leads to a quadratic 196 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 “sha...

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... order, the 242 Analysis and Control of Linear Systems Consequently, the field of absolute stability of multi-interval methods (implicit or not depending on the value of β 0 ) is the set of µ ∈ C so ... desired and to perform the corre- sponding substitutions. Let us take the example of the classic PID regulator. Let e(t) 230 Analysis and Control of Linear Sys...

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... 2 a n-1 a n-3 a n-5 … 3 b 1 =a n-2 -a n a n-3 /a n-1 b 2 =a n-4 -a n a n-5 /a n-1 b 3 =a n-6 -a n a n-7 /a n-1 … 4 c 1 =a n-3 -b 2 a n-1 /b 1 c 2 =a n-5 -b 3 a n-1 /b 1 ... study the case of open loop stable systems, that of integrator systems and finally the case of open loop unstable systems. 270 Analysis and Control of Linear Systems We...

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