Stability and control of differential linear repetitive processes using an LMI setting

• Main Authors: Galkowski, K (Author), Paszke, W (Author), Rogers, E (Author), Xu, S (Author), Lam, J (Author), Owens, D H (Author)
• Format: Article
• Language: English
• Published: 2003.
• Subjects: Article
• Online Access: Get fulltext

This paper considers differential linear repetitive processes which are a distinct class of two-dimensional continuous-discrete linear systems of both physical and systems theoretic interest. The substantial new results are on the application of linear-matrix-inequality-based tools to stability analysis and controller design for these processes, where the class of control laws used has a well defined physical basis. It is also shown that these tools extend naturally to cases when there is uncertainty in the state-space model of the underlying dynamics.