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[Luyben] Process Mod.. - Student subdomain for University of Bath
[Luyben] Process Mod.. - Student subdomain for University of Bath
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comwrs xvii<br />
151.3 Transpose <strong>of</strong> a Matrix 539<br />
151.4 Matrix Inversion 540<br />
15.2 Matrix Properties 541<br />
15.2.1 Eigenvalues 542<br />
15.212 Canonical Trans<strong>for</strong>mation 543<br />
152.3 Singular Values 546<br />
15.3 Representation <strong>of</strong> Multivariable <strong>Process</strong>es 548<br />
15.3.1 Transfer Function Matrix 548<br />
15.3.2 State Variables 551<br />
15.4 Openloop and Closedloop Systems 554<br />
15.4.1 Transfer Function Representation 554<br />
15.4.2 State Variable Representation 556<br />
15.5 Computer Programs For Matrix Calculations 559<br />
Problems 561<br />
16 Analysis <strong>of</strong> Multivariable Systems<br />
16.1 Stability<br />
16.1.1 Openloop and Closedloop Characteristic Equations<br />
16.1.2 Multivariable Nyquist Plot<br />
16.1.3 Characteristic Loci Plots<br />
16.1.4 Niederlinski Index *<br />
16.2 Resiliency<br />
16.3 Interaction<br />
16.3.1 Relative Gain Array (Bristol Array)<br />
16.3.2 Inverse Nyquist Array (INA)<br />
16.3.3 Decoupling<br />
16.4 Robustness<br />
16.4.1 Trade-<strong>of</strong>f Between Per<strong>for</strong>mance and Robustness<br />
16.4.2 Doyle-Stein Criterion<br />
16.4.3 Skogestad-Morari Method<br />
Problems<br />
562<br />
562<br />
562<br />
564<br />
568<br />
572<br />
573<br />
575<br />
576<br />
579<br />
581<br />
584<br />
585<br />
585<br />
588<br />
591<br />
17 Design <strong>of</strong> Controllers For Multivariable <strong>Process</strong>es<br />
17.1<br />
17.2<br />
17.3<br />
17.4<br />
17.5<br />
17.6<br />
17.7<br />
Problem Definition<br />
Selection <strong>of</strong> Controlled Variables<br />
17.2.1 Engineering Judgment<br />
17.2.2 Singular Value Decomposition<br />
Selection <strong>of</strong> Manipulated Variables<br />
Elimination <strong>of</strong> Poor Pairings<br />
BLT Tuning<br />
Load Rejection Per<strong>for</strong>mance<br />
Multivariable Controllers<br />
17.7.1 Multivariable DMC<br />
17.7.2 Multivariable IMC<br />
Problems<br />
594<br />
594<br />
596<br />
596<br />
596<br />
598<br />
598<br />
599<br />
605<br />
606<br />
606<br />
609<br />
611
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