Economically Optimal Input Design Approach for Identification of Constrained Processes

Autor: Nabil Magbool Jan, Abhishankar Kumar, Sridharakumar Narasimhan
Rok vydání: 2018
Předmět:
Zdroj: Industrial & Engineering Chemistry Research. 57:6956-6967
ISSN: 1520-5045
0888-5885
DOI: 10.1021/acs.iecr.7b05187
Popis: Input design is the process of designing informative inputs which maximizes the information about system dynamics using minimal cost and resources in a system identification experiment. In this work, we focus on designing inputs based on the economic framework for identification of constrained processes. The process is nominally constrained and feasibility during identification is ensured by “backing off” (or moving away) from the active constraints. The economic cost or penalty due to the “back-off” is minimized while ensuring feasibility and satisfying constraints on the quality of the identified model. The proposed economic based formulation results in a nonconvex optimization problem. This problem can be solved using the bisection algorithm for single input–single output (SISO) systems. We present a two-stage iterative solution algorithm to solve for multi-input–multi-output (MIMO) systems where a convex optimization problem is solved at each stage. The optimal input is realized as a white noise passi...
Databáze: OpenAIRE