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Dynamics and Nonlinear Control of Integrated Process Systems by Prodromos Daoutidis, Michael Baldea

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Appendix B

Systems with multiple-time-scale dynamics

Section 2.4 alluded to the possibility of expanding the methods presented in Chapter 2 to account for the presence of multiple singular perturbation parameters in a system of differential equations. This appendix is concerned with this topic, and, to this end, let us consider a multiple-time-scale (multiply perturbed) system in the standard form

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where x, f images images, yj, gj , j = 1,…, M, and = [1,…, ...

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