265_adv_control_eng

89 the luenberger full order state observer should

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Unformatted text preview: of the error vector depends upon the eigenvalues of (A À Ke C). As with any measurement system, these eigenvalues //SYS21/D:/B&H3B2/ACE/REVISES(08-08-01)/ACEC08.3D ± 256 ± [232±271/40] 9.8.2001 2:34PM 256 Advanced Control Engineering x + u B + ∫ y x C System A + Ke – +1 + B + ∫ 0 C y Observer A 0 Fig. 8.9 The Luenberger full-order state observer. should allow the observer transient response to be more rapid than the system itself (typically a factor of 5), unless a filtering effect is required. The problem of observer design is essentially the same as the regulator pole placement problem, and similar techniques may be used. (a) Direct comparison method: If the desired locations of the closed-loop poles (eigenvalues) of the observer are s ˆ 1 , s ˆ 2 , F F F , s ˆ n then jsI À A ‡ Ke Cj ˆ (s À 1 )(s À 2 ) F F F (s À n ) ˆ sn ‡ nÀ1 snÀ1 ‡ Á Á Á ‡ 1 s ‡ 0 (8:130) //SYS21/D:/B&H3B2/ACE/REVISES(08-08-01)/ACEC08.3D ± 257 ± [232±271/40] 9.8.2001 2:34PM State-space methods for control system design 257 (b) Observable canonical form method: For the generalized transfer function shown in Figure 8.4, the observable form of the state equation may be written PQP QP Q P Q...
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This note was uploaded on 01/18/2014 for the course MECH 108 taught by Professor Sali mon during the Winter '12 term at Bingham University.

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