Guaranteed cost control of uncertain differential linear repetitive processes

This paper deals with the problem of designing a control law for differential linear repetitive processes based on minimizing a cost function in the presence of uncertainties in the process model. This control law results in a closed-loop stable process with an associated cost function which is boun...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 2, Analog and digital signal processing Analog and digital signal processing, 2004-11, Vol.51 (11), p.629-634
Main Authors: Paszke, W., Galkowski, K., Rogers, E., Owens, D.H.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Algorithms
Circuits
Control systems
Cost function
Design engineering
Differential repetitive processes
guaranteed cost control
Law
Linear matrix inequalities
Linear systems
Marketing
Optimal control
Optimization
Process control
Stability
Symmetric matrices
two-dimensional (2-D) systems
Uncertainty
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Summary:This paper deals with the problem of designing a control law for differential linear repetitive processes based on minimizing a cost function in the presence of uncertainties in the process model. This control law results in a closed-loop stable process with an associated cost function which is bounded for all admissible uncertainties. Moreover, an optimization algorithm is developed to design this law such that it minimizes the upperbound of the closed-loop cost function.
ISSN:1549-7747
1057-7130
1558-3791
DOI:10.1109/TCSII.2004.836057