Analysis and Control of Linear Systems - Chapter 12 pptx

... )()()()( 111 twqBqtyqA rrr −−− = [12. 17] where: )()()( 111 −−− = qPqBqB r . 376 Analysis and Control of Linear Systems 12. 2. Generalized predictive control (GPC) 12. 2.1. Formulation of the control law The objective of ... )()()()()( 111 twqPqAtuqA rr −−− = [12. 19] Figure 12. 4 sums up the principle of this structure with reference models [IRV 86]. Figure...

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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 ... Analysis and Control of Linear Systems Chapter 12. Predictive Control 373 Patrick BOUCHER and Didier DUMUR 12. 1. General principles of predictive...

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... 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 deno...

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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 ... 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 =...

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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. 364 Analysis and Control of Linear Systems ... y A N u A N v o y o u += [11.62] 338 Analysis and Control of Linear Systems The number of equations is the number of rows in the Sylvester system and...

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... )(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 addition, the remaining invariant zero are non-controllable ... operation environment of the system. 422 Analysis and Control of Linear Systems Theorem 13.3 ( 2 H REGULATOR AND INTERNAL MODEL).– let us...

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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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... 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 ... 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 c...

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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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