This paper concerns some practical issues associated with the formulation of sequential quadratic programming (SQP) methods for large-scale nonlinear optimization. SQP methods find an approximate solution of a sequence of quadratic programming (QP) subproblems in which a quadratic model of the objective function is minimized subject to the linearized constraints. Extensive numerical results are...

In reactor furnace, due to high temperature and high pressure, data can be measured only near the furnace wall. In this paper, the way to estimate temperature distribution in a reactor furnace using measured data near the furnace walls and to control temperature distribution to the desired temperature distribution was studied. In the estimation, SQP method is employed using measured data near t...

This study presents a hybrid harmony search algorithm (HHSA) to solve engineering optimization problems with continuous design variables. Although the harmony search algorithm (HSA) has proven its ability of finding near global regions within a reasonable time, it is comparatively inefficient in performing local search. In this study sequential quadratic programming (SQP) is employed to speed u...

Industrial processes are nonlinear and complicated, requiring accurate fault identification to minimize performance deterioration respond quickly emergencies. This work investigates industrial process defect isolation, which is analytically difficult owing their complexity. paper carefully analyzes four design methods for flaw isolation based on Principal Component Analysis (PCA), Fisher Discri...

Practical optimal control problems, e.g., from the areas of robotics or chemical engineering are typically nonlinear and of high dimension. For these problem classes, direct discretization methods have proved to be very eecient and reliable tools. They allow the simultaneous solution of the optimization and the simulation task, therefore reducing the amount of computational eeort considerably. ...

Contents Danksagung 1 Chapter 1. Introduction 5 1. Aims and scope of flow control 5 2. A brief review in active flow control 8 Chapter 2. Notation and preliminary results 15 1. Quasi-Stokes problems 15 2. Instationary Navier-Stokes equations in 2d 16 3. Navier-Stokes numerics 19 Chapter 3. Optimal control of the instationary Navier-Stokes equations 23 1. The optimal control problem 23 2. Deriva...

For a partial order P having infinite antichains by a(P) we denote the minimal cardinality of an infinite maximal antichain in P and investigate how does this cardinal invariant of posets behave in finite products. In particular we show that min{a(P), p(sqP)} ≤ a(P) ≤ a(P), for all n ∈ N, where p(sqP) is the minimal size of a centered family without a lower bound in the separative quotient of t...

obtaining such effi ciencies has proven to be a major challenge due to the high sensitivity of device performance on the nm-scale morphology of the polymer and fullerene components. [ 10–17 ] To achieve the ideal nm-scale bulk heterojunction (BHJ) morphology for photovoltaic applications, two solution-based processing methods can be used: blend casting (BC) [ 18,19 ] and sequential processing (...

Large scale optimization of systems governed by partial differential equations (PDEs) is a frontier problem in scientific computation. The state-of-the-art for such problems is reduced quasi-Newton sequential quadratic programming (SQP) methods. These methods take full advantage of existing PDE solver technology and parallelize well. However, their algorithmic scalability is questionable; for c...

In this paper we develop a numerical solution to optimal control problems for underactuated manipulators. Our approach finds a local solution to the nonlinear optimal control problem using an SQP approach with exact gradients of the cost function. We show that a dramatic improvement in computation times can be obtained if one computes the required gradient using the adjoint equations and a back...