Nonlinear Programming: Concepts, Algorithms, and Applications to Chemical ProcessesSIAM, 1 ene 2010 - 415 páginas This 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. |
Términos y frases comunes
active constraints active set adjoint algorithm applied approach approximation BFGS BFGS update bound calculation Chapter Chem Comput consider Constrained Optimization control profiles convergence properties convex DAE solvers DAE system define developed differential discretized eigenvalues equality constraints Example f(xk Figure filter finite elements flowsheet global 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 Moreover MPCC multiple shooting multipliers Newton step NLP formulation NLP solvers nonlinear program nonsingular objective function optimal control optimal control problem optimal solution optimality conditions parameter polynomial positive definite Process Optimization quasi-Newton reactor reduced-space reformulation requires result satisfies second derivatives Section SNOPT solve strategies subproblem superbasic Theorem tray trust region trust region methods unconstrained values vector xk+1