Optimal iterative learning fault-tolerant guaranteed cost control for batch processes in the 2D-FM model
type: Item
instance of: scholarly article
title: Optimal iterative learning fault-tolerant guaranteed cost control for batch processes in the 2D-FM model
zbMATH Open document ID: 1242.93095
DOI: 10.1155/2012/748981
author: Weiwei Dong
author: Limin Wang
published in: Abstract and Applied Analysis
publication date: 2012-07-18T00:00:00Z
review text: Summary: We develop an optimal fault-tolerant guaranteed cost control scheme for a batch process with actuator failures. Based on an equivalent two-dimensional Fornasini-Marchsini (2D-FM) model description of a batch process, the relevant concepts of the fault-tolerant guaranteed cost control are introduced. The robust iterative learning reliable guaranteed cost controller (ILRGCC), which includes a robust extended feedback control for ensuring the performances over time and an iterative learning control (ILC) for improving the tracking performance from cycle to cycle, is formulated such that it cannot only guarantee the closed-loop convergency along both the time and the cycle directions but also satisfy both the \(H_\infty\) performance level and a cost function having upper bounds for all admissible uncertainties and any actuator failures. Conditions for the existence of the controller are derived in terms of linear matrix inequalities (LMIs), and a design procedure of the controller is presented. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop system cost. Finally, an illustrative example of injection molding is given to demonstrate the effectiveness and advantages of the proposed 2D design approach.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 6058153
Wikidata QID: Q58696719
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/748981
OpenAlex ID: W2146431954
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description: scientific article; zbMATH DE number 6058153