Analysis and Control of Linear Systems - Chapter 4 ppt

... 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 ... [] , and pp p −−− ⎡ ⎤⎡ ⎤ −− ⎢ ⎥⎢ ⎥ −− ⎣ ⎦⎣ ⎦ IA IA B IA B CC0 [4. 13] 128 Analysis and Control of Linear Systems 4. 2.5. Notes and references The general c...

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... interpretation of grammians 44 0 13.6 .4. Zeros of a multivariable system 44 0 13.6.5. Standardization of a system 44 1 13.7. Bibliography 44 1 Chapter 14. Multi-variable Modal Control 44 5 Yann LE ... GORREC and Jean-Francois MAGNI 14. 1. Introduction 44 5 14. 2. The eigenstructure 44 6 14. 2.1. Notations 44 6 14. 2.2. Relations among signals, modes and ei...

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... 1.23, 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 ... 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...

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... 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 ... admits a zero of a module close to 1 and of argument 2πν 0 , then the power spectrum is almost zero in the proximity of ν 0 . 142 Analysis and Control of Line...

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... appearance of instability). Finally, in [11.89], the fact of hiding the oscillating poles of the process leads to a rejection of oscillating interference. 3 64 Analysis and Control of Linear Systems ... [11.17] and since by construction: ∂<∂ 1 VB [11.18] ∂∂ − ≥∂ 11 max{ V, B (P U)} B [11.19] 340 Analysis and Control of Linear Systems Figure 11....

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... regulator of this restated problem in terms of error signals: )()()()( 11 tqRtqS yoptu εε −− −= [12. 24] 392 Analysis and Control of Linear Systems Hence, the calculation of the future control ... [12.19] Figure 12 .4 sums up the principle of this structure with reference models [IRV 86]. Figure 12 .4. Principle of GPC/MRM algorithm 3 94 Analysis and C...

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... )(tm and consequently the rejection of the 41 2 Analysis and Control of Linear Systems the zeros of transmission of )( 12 sG and )( 21 sG . In addition, the remaining invariant zero are non-controllable ... operation environment of the system. 42 2 Analysis and Control of Linear Systems Theorem 13.3 ( 2 H REGULATOR AND INTERNAL MODEL).– let us s...

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... 395, 40 0, 40 1, 41 4- 4 16, 43 6, 44 5, 47 3, 47 6, 47 9 -4 82, 48 5, 49 3, 49 5, 500, 506 Routh criterion 285, 265, 266 S Shannon condition 101 signal continuous-time 4, 81, 100, 142 , 144 , 148 deterministic ... loop closed 25 3-2 58, 260, 26 4- 2 67, 269, 280, 281, 28 3-2 86, 309, 3 24, 332, 382, 390, 40 8, 40 9, 44 9, 45 8 -4 60, 46 3, 46 5, 47 2,...

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... 1 04 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” ... Theory and application of the z-transform, John Wiley, 19 64. [LAR 02] DE LARMINAT P. (ed.), Commande des systèmes linéaires, Hermès, IC2 series, Paris, 2002....

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... 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 Figure 6 .4. Structure ... 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