L'écriture cuneiforme: syllabaire sumerien, babylonien by Lucien-Jean Bord, Remo Mugnaioni

By Lucien-Jean Bord, Remo Mugnaioni

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522  p1  T1  p1 , T1 = decay rate, period measured under proportional control when Kc = 05 . Ku ** Hang et al. 4373Tu 01988 . 2015 Ku 01537 . Tu Parr [64] – page 191 05 . Ku 043 . 33Ku 2Tu Other tuning rules Parr [64] – page 191 0667 . K25% T25% Quarter decay ratio 042 . 33K25% T25% ‘Slow’ tuning 0333 . 5 π Leva [67] ( ) Ti ( ) tan φ m − φ pω − 05 . 5π , φ pω = process phase at frequency ω 0 0 1 ωu φ m = 450 ,‘small’ τ m 016 . Tu tan φ m V = relay amplitude, A = limit cycle amplitude. A3 A2 A m ≥ 2 , φ m ≥ 60 0 1 Calcev and Gorez [69] 2 2 G p ( jω u ) Cox et al.

333ω H2 τ m 2 ) 2 2 Table 16: PI tuning rules - SOSPD model - K m e− sτ m Tm1 s2 + 2ξ m Tm1s + 1 2   - Two degree of freedom controller: U(s) = K c 1 + 1 E (s ) − α Kc R( s) . 3 tuning rules. 5613  0 . 0003414  Tm   Ti 1 Km τ  τ τm + 0. 3087 m  − 0. 1201 m Tm  Tm   Tm     0 . 05627   0 . 0 ; ξ m = 1 Tm Overshoot (servo step) ≤ 20% ; settling time ≤ settling time of tuning rules of Chien et al. [10] ( 30a ) 10 2 α = 0. 6438− 0. 5056 τ  τ τ α = 0. 6178− 0. 4439 m − 7.

Model: method not specified. 33 Tm Minimum performance index 100Tm1 K m (τ m Minimum ISE – McAvoy and Johnson [83] – deduced ξm from graph 1 1 Model: Method 1 1 Minimum ITAE – Lopez et al. [84] – deduced from graph 01 . 5 + 35 . 77 Tm1 K m τm 070 . Tm1 Km τ m 080 . Tm1 Km τ m 080 . 0 283 . 29( τ m + Tm 2 ) 167 . 0 T = 02 . , m2 = 01 . Tm 1 τm T = 02 . 2 Tm1 Tm1 τm T = 02 . , m2 = 05 . Tm1 Tm 1 τm T = 02 . , m2 = 10 . Tm1 Tm 1 Rule Kc Minimum IAE - Huang et al. [18] K c ( 31) Ti 1 Comment 0< Ti ( 31) Tm 2 τ ≤ 1 ; 01 .

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