Abstract and Applied Analysis

Optimal Iterative Learning Fault-Tolerant Guaranteed Cost Control for Batch Processes in the 2D-FM Model

Limin Wang and Weiwei Dong

Full-text: Open access

Abstract

This paper develops the 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 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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 748981, 21 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495699

Digital Object Identifier
doi:10.1155/2012/748981

Mathematical Reviews number (MathSciNet)
MR2922917

Zentralblatt MATH identifier
1242.93095

Citation

Wang, Limin; Dong, Weiwei. Optimal Iterative Learning Fault-Tolerant Guaranteed Cost Control for Batch Processes in the 2D-FM Model. Abstr. Appl. Anal. 2012 (2012), Article ID 748981, 21 pages. doi:10.1155/2012/748981. https://projecteuclid.org/euclid.aaa/1355495699


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