A New LMI-Based Controller Design Method for Uncertain Differential Repetitive Processes
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The paper develops new results on stability analysis and control law design for differential linear repetitive processes. These results are based on new dilated LMI characterizations for stability along the pass where auxiliary slack variables with full structure are employed. This provides additional flexibility to the solution. The results are also easily extended to processes with norm-bounded uncertainties. It is also shown that the generalized Kalman-Yakubovich-Popov lemma can be used to obtain stability and controller design procedures in which performance specifications are imposed over finite frequency ranges. Sufficient conditions for the existence of a robust controller in this setting are established. Finally, a simulation example is given to illustrate the merits of the new design.
KeywordsUncertain repetitive processes Robust stability and stabilization Linear matrix inequalities Finite frequency domain
This work is partially supported by National Science Centre in Poland, grant No. 2017/27/B/ST7/01874.
- 6.Rogers, E., Gałkowski, K., Owens, D.H.: Control Systems Theory and Applications for Linear Repetitive Processes. Lecture Notes in Control and Information Sciences, vol. 349. Springer, Berlin (2007)Google Scholar
- 7.Rogers, E., Gałkowski, K., Paszke, W., Moore, K.L., Bauer, P.H., Hładowski, L., Dabkowski, P.: Multidimensional control systems: case studies in design and evaluation. Multidimension. Syst. Signal Process. 26(4), 895–939 (2015). https://doi.org/10.1007/s11045-015-0341-8MathSciNetCrossRefzbMATHGoogle Scholar