By Matthew Ellis, Jinfeng Liu, Panagiotis D. Christofides
This publication provides basic tools for the layout of financial version predictive keep watch over (EMPC) platforms for wide sessions of nonlinear platforms that tackle key theoretical and sensible issues together with recursive feasibility, closed-loop balance, closed-loop functionality, and computational potency. particularly, the e-book proposes:
- Lyapunov-based EMPC equipment for nonlinear systems;
- two-tier EMPC architectures which are hugely computationally effective; and
- EMPC schemes dealing with explicitly uncertainty, time-varying fee services, time-delays and multiple-time-scale dynamics.
The proposed equipment hire numerous instruments starting from nonlinear structures research, via Lyapunov-based keep an eye on strategies to nonlinear dynamic optimization. The applicability and function of the proposed equipment are tested via a few chemical procedure examples.
The ebook offers state of the art tools for the layout of financial version predictive regulate structures for chemical processes.In addition to being mathematically rigorous, those equipment accommodate key sensible matters, for instance, direct optimization of procedure economics, time-varying fiscal rate features and computational potency. a number of reviews and comments supplying primary knowing of the merging of strategy economics and suggestions keep watch over right into a unmarried framework are incorporated. A keep watch over engineer can simply tailor the numerous unique examples of commercial relevance given in the textual content to a particular application.
The authors current a wealthy number of new examine issues and references to major fresh paintings making Economic version Predictive Control a tremendous resource of data and suggestion for teachers and graduate scholars discovering the realm and for approach engineers attracted to utilising its ideas.
Read or Download Economic Model Predictive Control: Theory, Formulations and Chemical Process Applications PDF
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Additional info for Economic Model Predictive Control: Theory, Formulations and Chemical Process Applications
16b) where t¯ is the time, C A denotes the concentration of A in the reactor, T denotes the temperature of the reactor contents, VR is the volume of the liquid hold-up in the reactor, k0 is the rate constant, E is the reaction activation energy, ΔH is the enthalpy of reaction, and R is gas constant. The ODEs of Eq. 16 may be written in dimensionless form by defining t = t¯F/VR , x1 = C A /Cr e f , x2 = RT /E, u = C A0 /Cr e f , A1 = Cr e f VR k0 /F, A2 = ΔH RCr e f A1 /(EC p ρ), x20 = RT0 /E + R Q/(C p ρ E F) where Cr e f is a reference concentration.
Bailey JE, Horn FJM (1971) Comparison between two sufficient conditions for improvement of an optimal steady-state process by periodic operation. J Optim Theory Appl 7:378–384 49. Bittanti S, Fronza G, Guardabassi G (1973) Periodic control: a frequency domain approach. IEEE Trans Autom Control 18:33–38 50. Bailey JE (1973) Periodic operation of chemical reactors: a review. Chem Eng Commun 1:111– 124 51. Guardabassi G, Locatelli A, Rinaldi S (1974) Status of periodic optimization of dynamical systems.
1 for a given initial condition. , . Owing to the fact that the vector field, f , of Eq. 1 is nonlinear, the system may possess multiple isolated equilibrium points. Without loss of generality, the origin x = 0 is taken to be an equilibrium point of the system of Eq. , f (0) = 0. If the origin is not the equilibrium point of interest, deviation variables may be introduced such that the origin of the shifted coordinate system is the equilibrium point. For example, consider the system x˙ = f (x) with an equilibrium xs = 0 ( f (xs ) = 0).