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Chapter 4. Explicit/Multi-Parametric MPC Control of PSA Systems Table 4.8: Explicit control laws as affine function of parameters for the 8th order SS model (Eq. 4.22 to 4.25) CR1 :A1θ=b1 [ ][] u= −0.353 −2.235 −0.857 −0.026 0.038 0.016 −0.003 −0.025 0.939 0.067 −0.067 θ+ 0 −0.538 −3.337 −1.310 −0.036 0.061 0.025 −0.005 −0.039 0.907 0.097 −0.097 0 CR2 :A2θ=b2 [ ][] u= −0.091 −0.606 −0.217 −0.008 0.008 0.004 0 −0.006 0.496 0.020 −0.020 θ+ 26.851 0.000 0.000 0.000 0.000 0.000 0.000 0 0.000 0.000 0.000 0.000 55 CR3 :A3θ=b3 [ ][] u= −5.346 −59.731 −9.373 −0.878 0.252 −0.160 0.036 0.073 0 3.696 0.000 θ+ −36.958 −5.361 −58.885 −9.538 −0.860 0.268 −0.145 0.032 0.055 0 3.603 −0.032 −35.706 CR4 :A4θ=b4 [ ][] u= −4.841 −36.760 −11.331 −0.987 −0.232 0.170 0.100 −0.187 0.128 1.237 0 θ+ −12.387 −6.693 −50.694 −15.677 −1.354 −0.310 0.237 0.136 −0.262 −0.206 1.702 0 −16.991 CR5 :A5θ=b5 [ ][] u= −4.328 −24.562 −10.749 −0.111 0.696 0.228 −0.081 −0.368 0.259 0.623 0 θ+ −6.185 −6.885 −38.997 −17.108 −0.172 1.113 0.364 −0.130 −0.588 −0.179 0.985 0 −9.878 CR6 :A6θ=b6 [ ][] u= −8.993 −68.209 −21.057 −1.827 −0.425 0.317 0.184 −0.349 0 2.293 0 θ+ −94.272 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0.000 0 115.000 CR7 :A7θ=b7 [ ][] u= −14.294 −81.014 −35.515 −0.360 2.307 0.755 −0.268 −1.219 0 2.048 0 θ+ −186.96 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0 0.000 0 115.00 CR8 :A8θ=b8 [ ][] u= −5.346 −59.731 −9.373 −0.878 0.252 −0.160 0.036 0.073 0 3.696 0 θ+ −36.958 −5.879 −13.666 −18.833 −1.528 −1.090 0.769 0.239 −0.680 0 −2.262 0 22.616 CR9 :A9θ=b9 [ ][] u= −5.017 −58.607 −10.214 −2.927 −6.408 −15.479 −17.478 1.773 −2.473 −0.011 0.524 0.303 0 2.476 0 θ+ −24.762 3.302 0.530 −0.547 −1.051 0 −0.296 0 2.956 (2) Optimal look-up function (1) Find the critical region Explicit/Multi-parametric Controller x2 x x1 Control action Disturbances Measurements Outputs Figure 4.14: Online implementation of the explicit/multi-parametric controller for PSA 91 Control variablePDF Image | Operation and Control of Pressure Swing Adsorption Systems
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