Analysis and Control of Nonlinear Process Systems (Advanced Textbooks in Control and Signal Processing)

This simple textual content makes the advanced yet robust tools of non-linear regulate available to strategy engineers. not just does it hide the required arithmetic, however it continually refers back to the widely-known finite-dimensional linear time-invariant non-stop case as a foundation for extension to the nonlinear scenario.

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6. five. 2 Nonlinear Controllability research utilizing Controllability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Controllability (Reachability) of Fed-batch Fermentation procedures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. 1 challenge assertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. 2 Nonlinear State-space version . . . . . . . . . . . . . . . . . . . . . . . 6. 6. three Reachability research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. four Calculation of the Coordinate Transformation . . . . . . . . 6. 6. five Generalizations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. 6 Engineering Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. 7 reviews on Observability . . . . . . . . . . . . . . . . . . . . . . . . 6. 6. eight The minimum attention of Fed-batch Fermentation approaches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . extra studying . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . precis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Questions and alertness routines . . . . . . . . . . . . . . . . . . . . . . balance and The Lyapunov process . . . . . . . . . . . . . . . . . . . . . . 7. 1 balance Notions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. 1. 1 exterior or BIBO (Bounded-input–bounded-output) balance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. 1. 2 BIBO balance stipulations for LTI platforms . . . . . . . . . . 7. 1. three L2 -gain of Linear and Nonlinear platforms . . . . . . . . . . . . 7. 1. four The Small-gain Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . 7. 1. five Asymptotic or inner balance of Nonlinear platforms 7. 1. 6 Asymptotic balance of LTI platforms . . . . . . . . . . . . . . . . 7. 1. 7 dating among Asymptotic and BIBO balance 7. 2 neighborhood balance of Nonlinear structures . . . . . . . . . . . . . . . . . . . . . . 7. 2. 1 neighborhood Linearization of Nonlinear State-space types . . 7. 2. 2 courting among neighborhood and international balance of Nonlinear platforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. 2. three Dependence of neighborhood balance on method Parameters: Bifurcation research . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. three Lyapunov functionality, Lyapunov Theorem . . . . . . . . . . . . . . . . . . . 7. three. 1 Lyapunov functionality and Lyapunov Criterion . . . . . . . . . 7. three. 2 Lyapunov Criterion for LTI structures . . . . . . . . . . . . . . . . 7. three. three Lyapunov standards for LPV process types . . . . . . . . . . 7. four balance of technique platforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. four. 1 Structural balance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7. four. 2 Conservation Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 one hundred twenty a hundred and twenty one hundred twenty 122 122 122 123 one hundred twenty five 128 131 132 134 134 a hundred thirty five a hundred thirty five 137 138 138 138 139 one hundred forty 142 143 a hundred and forty four a hundred forty five 146 148 one hundred fifty 152 152 154 a hundred and fifty five 156 157 158 TLFeBook Contents xv 7. five technique procedure Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 7. five. 1 balance research of the loose Mass Convection Network159 7. five. 2 Lyapunov functionality of the loose Mass Convection community . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . one hundred sixty 7. five. three Structural balance research of warmth Exchanger Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 7. five. four Structural balance research of a Binary Distillation Column with consistent Molar move and Vapor–liquid Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 7. five. five Structural balance of a Binary Distillation Column with consistent Molar Flows within the Non-equilibrium Case164 7.

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