Sum of squares programming for discrete-time non-linear systems - with application to power converters

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• Morten Hovd, Norwegian University of Science and Technology
• Thursday 29 October 2015, 14:00-15:00
• Cambridge University Engineering Department, LR12.

If you have a question about this talk, please contact Tim Hughes.

The presentation will give a brief introduction to sum of squares (SOS) programming, and will present some key issues and steps in applying this to Lyapunov-based synthesis for discrete-time nonlinear systems. The focus will be on bilinear systems as many power converters can be modelled as bilinear systems, but the concepts can be generalized to polynomial nonlinear systems that are affine in the inputs.

The controller synthesis method will then be illustrated on the control of a Modular Multilevel Converter (MMC) for HVDC . The MMC has several advantages compared to conventional converters for HVDC . However, the internal control of the converter is a challenge due to a high number of internal switches. With an SOS -based controller we are able to obtain good results.

Finally, some robustness issues in the SOS design will be addressed, and illustrated on the averaged model of a boost converter (which also is described by a bilinear model).

This talk is part of the CUED Control Group Seminars series.

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