Nondeterministic Kriging for Engineering Design Exploration

A non-stationary covariance-based Kriging method for metamodelling in engineering design

Metamodels are widely used to facilitate the analysis and optimization of engineering systems that involve computationally expensive simulations. Kriging is a metamodelling technique that is well known for its ability to build surrogate models of responses with non-linear behaviour. However, the assumption of a stationary covariance structure underlying Kriging does not hold in situations where...

Sampling Design Optimization for Space-Time Kriging

Proper orthogonal decomposition & kriging strategies for design

Future Work Conclusions The aim of the following research is to therefore remove this obstacle to the application of kriging whilst developing a strategy for use at higher dimensions. The goal of an initial investigation was therefore to determine if these hyperparameters should be tuned after every update, and to what degree they should be tuned, in order for the model to remain effective. Thi...

A Nonstationary Covariance Based Kriging Method for Metamodeling in Engineering Design

Metamodels are widely used to facilitate the analysis and optimization of engineering systems that involve computationally expensive simulations. Kriging is a metamodeling technique that is well known for its ability to build surrogate models of responses with nonlinear behavior. However, the assumption of a stationary covariance structure underlying Kriging does not hold in situations where th...

Control design for nondeterministic input/output automata

This paper presents a control design approach for Input/Output (I/O) automata. The main contribution consists of an explicit description of the control design procedure, which leads to an implementation-friendly architecture. Moreover, the concepts of well-posedness of the control loop and controllability are investigated. The level control of a chemical process is used as a case study for demo...