Experimental Designs That Maximize Information for Nonlinear Dynamic Processes
نویسندگان
چکیده
Abstract Our discovery of a compact closed-form solution to Hammerstein systems has led to the ability to quantitatively compare competing experimental designs. This index is a quantitative measure of the information content in a design and is based on the D-optimality criterion. It is called efficiency in the statistical literature. This efficiency (ratio) shows the superiority of statistical design of experiments (SDOE) over the commonly used pseudo-random sequences (PRS) when modeling nonlinear dynamic processes. The ability of SDOE to control for confounding of input effects and the times of input changes is reflected in its higher efficiency.
منابع مشابه
An ANOVA Based Analytical Dynamic Matrix Controller Tuning Procedure for FOPDT Models
Dynamic Matrix Control (DMC) is a widely used model predictive controller (MPC) in industrial plants. The successful implementation of DMC in practical applications requires a proper tuning of the controller. The available tuning procedures are mainly based on experience and empirical results. This paper develops an analytical tool for DMC tuning. It is based on the application of Analysis of V...
متن کاملA Nonlinear Model to Maximize Profit of Hydropower Plants in the Long-Run
The problem of hydropower plant profit maximization includes simultaneous programming of optimal utilization of water resources and participation in the power market. The present research was performed on a chain of hydropower plants within the Karoon river basin in Khuzestan Province (Iran) (i.e. Karoon 3, Karoon 1, and Masjid Soleyman hydropower plants). In this research nonlinear programmi...
متن کاملOptimization of a large-scale water reservoir network by stochastic dynamic programming with efficient state space discretization
A numerical solution to a 30-dimensional water reservoir network optimization problem, based on stochastic dynamic programming, is presented. In such problems the amount of water to be released from each reservoir is chosen to minimize a nonlinear cost (or maximize benefit) function while satisfying proper constraints. Experimental results show how dimensionality issues, given by the large numb...
متن کاملDynamic Response Analysis of the Planar and Tubular Solid Oxide Fuel Cells to the Inlet Air Mass Flow Rate Variation
The purpose of present study is to investigate the dynamic response of two conventional types of solid oxide fuel cells to the inlet air mass flow rate variation. A dynamic compartmental model based on CFD principles is developed for two typical planar and tubular SOFC designs. The model accounts for transport processes (heat and mass transfer), diffusion processes, electrochemical processes, a...
متن کاملTrajectory Optimization of Cable Parallel Manipulators in Point-to-Point Motion
Planning robot trajectory is a complex task that plays a significant role in design and application of robots in task space. The problem is formulated as a trajectory optimization problem which is fundamentally a constrained nonlinear optimization problem. Open-loop optimal control method is proposed as an approach for trajectory optimization of cable parallel manipulator for a given two-end-po...
متن کامل