Title :
Guaranteed cost control of uncertain differential linear repetitive processes
Author :
Paszke, Wojciech ; Galkowski, Krzysztof ; Rogers, Eric ; Owens, David H.
Author_Institution :
Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Poland
Abstract :
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.
Keywords :
closed loop systems; control system synthesis; linear systems; multidimensional systems; optimisation; uncertain systems; 2D systems; closed-loop stable process; control law; cost function minimization; differential repetitive process; guaranteed cost control; linear process; optimization algorithm; process model; uncertain process; Algorithm design and analysis; Control systems; Cost function; Linear matrix inequalities; Linear systems; Optimal control; Process control; Stability; Symmetric matrices; Uncertainty; 2-D; 65; Differential repetitive processes; guaranteed cost control; systems; two-dimensional;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.836057
