Trouble shooting is an application of well-known problem solving techniques to plant problems. This paper proposes that trouble shooting be included in the undergraduate program and that CAPE educators play a leading role in shaping the education. First, the six-step problem solving method is tailored to trouble shooting. Then, the tailored method is applied to a process example, which demonstr...

For the real-time computation of closed-loop controls, guidance methods have been recently developed by the authors which are based on the theory of neighboring extremals and/or the multiple shooting algorithm. Because of their close relationship, these methods have a comparable domain of controllability, i.e., the set of all deviations from the nominal optimal trajectory which can be compensat...

This article deals with the problem of computing energy-minimal trajectories between the invariant manifolds in the neighborhood of the equilibrium point L1 of the restricted 3-body problem. Initializing a simple shooting method with solutions of the corresponding linear optimal control problem, we numerically compute energy-minimal extremals from the Pontryagin’s Maximum principle, whose optim...

Uniqueness of and numerical techniques for the inverse Sturm-Liouville problem with eigenparameter dependent boundary conditions will be discussed. We will use a Gel’fand-Levitan technique to show that the potential q in u00 þ qu 1⁄4 u, 0 < x < 1 uð0Þ 1⁄4 0, ða þ bÞuð1Þ 1⁄4 ðc þ d Þu0ð1Þ can be uniquely determined using spectral data. In the presence of finite spectral data, q can be reconstruc...

We discuss the indirect multiple shooting approach for the solution of PDE-based parabolic optimal control problems with control constraints. The method is formulated within an abstract function space setting and uses a space-time Galerkin finite element discretization. The emphasis is on the embedding of indirect multiple shooting into the optimal control framework as well as the detailed desc...

Traditional shooting range simulators involve large investment in real estate, and other infrastructural resources. This paper describes a novel application of projector-camera systems to create a virtual shooting range. Projector-based display systems offer an attractive combination of dense pixels over large regions. When coupled with a camera, the feedback system enables the display to be ad...

Most dynamic stochastic general equilibrium models (DSGE) of the macroeconomy assume that labor is traded in a spot market. Two exceptions (Andolfatto [3], Merz [11]) combine the two-sided search model of Mortenson and Pissarides, [14], [13], [15] with a one-sector real business cycle model. These hybrid models are successful, in some dimensions, but they cannot account for observed volatility ...

arnebia pulchra (willd. ex roem. & schult.) edm. is an endangered, perennial member of boraginaceae family. spectrophotometric and lc-mass analysis confirmed the existence of shikalkin derivatives in its root skin and polyphenolic compounds in the inner part of its root. studies on the regeneration of a. pulchra from its callus resulted in successful callus induction in the root explants excise...

Efficient ray shooting algorithm is inherently required by many computer graphics algorithms, particularly in image synthesis. Practical ray shooting algorithms aiming at the average-case complexity use some underlying spatial data structure such as kd-tree. We show the new termination criteria algorithm that improves the space and time complexity of the kd-tree construction. It provides effici...