Analysis and Control of Linear Systems - Chapter 5 pptx

Analysis and Control of Linear Systems - Chapter 5 pptx

Analysis and Control of Linear Systems - Chapter 5 pptx

... y 2 )  =  y 1  y 2 [5. 9] 152 Analysis and Control of Linear Systems Figure 5. 1. Typical power spectrum of an MA (left) or AR (right) model In the case of a single denominator (n c =0), we talk of an AR ... 144 Analysis and Control of Linear Systems On the other hand, the Fourier transform preserves the energy (Parseval theorem). Indeed, the energy of a...
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Analysis and Control of Linear Systems - Chapter 0 pptx

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 -9 052 0 9-3 5- 4 ISBN-10: 1-9 052 0 9-3 5- 5 1. Linear control systems. 2. Automatic control. I. Larminat, ... 5. 2. Signals and spectral analysis 141 5. 3. Generator processes and ARMA modeling 150 5. 4. Modeling of LTI systems and ARMAX mo...
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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 . 10 0 -1 0 -2 0 -3 0 0 -4 5 -9 0 -1 35 -1 80 1 T 1 1 T 2 Module (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 d...
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Analysis and Control of Linear Systems - Chapter 11 pptx

Analysis and Control of Linear Systems - Chapter 11 pptx

... Single-Variable Control through Pole Placement 355 Figure 11.11. Influence of the measurement noise according to the dynamics chosen for A o and A m 350 Analysis and Control of Linear Systems ... obtain: 5. 05. 0 3 5. 05. 0 2 2 2 ++= += ++= ssT ssS ssR Hence, the control verifies: YssCssUss )5. 05. 0( )5. 05. 0()3( 222 ++−++=+ By leaving on the left the term...
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Analysis and Control of Linear Systems - Chapter 12 pptx

Analysis and Control of Linear Systems - Chapter 12 pptx

... 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, ... regulator of this restated problem in terms of error signals: )()()()( 11 tqRtqS yoptu εε −− −= [12.24] 392 Analysis and Control of Linear Systems Hence,...
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Analysis and Control of Linear Systems - Chapter 13 pptx

Analysis and Control of Linear Systems - Chapter 13 pptx

... internal model [WON 85] associated with the mode )(tm and consequently the rejection of the 412 Analysis and Control of Linear Systems the zeros of transmission of )( 12 sG and )( 21 sG . In ... p. 73 5- 7 41, 2000. [MOO 81] MOORE B.C., “Principal Component analysis in linear systems: controllability, observability and model reduction”, IEEE Trans. Auto....
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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” ... polynomial of an order equal to 1− i n , where i n is the multiplicity order of i λ and i th the eigenvalue of A. 5 A canonical form called controllab...
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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 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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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 ... 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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Analysis and Control of Linear Systems - Chapter 7 docx

Analysis and Control of Linear Systems - Chapter 7 docx

... formulation of the identification algorithm is expressed, 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 ... [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...
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