Abstract
This paper addresses a novel constrained decentralized shaping control problem for a class of nonlinear large-scale interconnected distribution systems. Such systems are generated by multiple output conditional probability density functions (PDFs) and exist in multi-channel non-Gaussian stochastic processes. Following a decoupled B-spline approximation to the output conditional PDFs, the large-scale interconnected weight systems are introduced to characterize the correlation in different weight vectors and further to describe the dynamic relation between the control input and weight vectors. The decentralized PI controller with delay dependent analysis is designed to ensure the system stability and convergence of the dynamic tracking error to zero. Moreover, the L 2-L ∞ norm from the disturbance to the controlled output is reduced to a prescribed level and the state constraint requirement can also be guaranteed. The effectiveness of the developed algorithm is verified by simulations of paper making process.
| Original language | English |
|---|---|
| Pages (from-to) | 235-255 |
| Number of pages | 21 |
| Journal | Journal of the Franklin Institute |
| Volume | 353 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
Bibliographical note
Publisher Copyright:© 2015 The Franklin Institute.
Open Access - Access Right Statement
© 2016. Elsevier Inc. All rights reserved. This paper is made available in Western Sydney University ResearchDirect in accordance with publisher policies.Keywords
- stochastic processes