Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical ProcessesThis book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering. The author provides a firm grounding in fundamental NLP properties and algorithms, and relates them to real-world problem classes in process optimization, thus making the material understandable and useful to chemical engineers and experts in mathematical optimization. |
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Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical ... Lorenz T. Biegler Vista previa restringida - 2010 |
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active set adjoint algorithm applied approach approximation BFGS BFGS update bound calculation Chapter Chem Comput consider constrained optimization control profiles convergence properties convex DAE system define developed differential difficult discretized efficient eigenvalues equality constraints Example Figure filter final find finite elements fixed flow rate global Hessian matrix inequality constraints initial interior point methods IPOPT iteration KKT conditions KKT matrix KNITRO L. T. Biegler large-scale leads LICQ line search Lipschitz continuous merit function model predictive control modified Moreover MPCC multiple shooting multipliers Newton step NLP formulation NLP solver nonlinear program nonsingular objective function optimal control optimal control problem optimal solution optimality conditions parameter polynomial positive definite process optimization quasi-Newton reactor reduced Hessian reduced-space reformulation requires result satisfies second derivatives second order conditions Section SNOPT solve specified strategies subproblem superbasic Theorem tray trust region trust region methods unconstrained values vector