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Robust Discrete-Time Gain-Scheduled Guaranteed Cost PSD Controller Design

Adrian Ilka (Institutionen för signaler och system) ; Tomas McKelvey (Institutionen för signaler och system)
Proceedings of the 2017 21st International Conference on Process Control (PC), Štrbské Pleso, Slovakia, June 6 – 9, p. 54-59. (2017)
[Konferensbidrag, refereegranskat]

The most widely used controllers in industry are still the proportional, integral, and derivative (PID) and discrete-time proportional, summation, and difference (PSD) controllers, thanks to their simplicity and performance characteristics. However, with these conventional fixed gain controllers we could have difficulties to handle nonlinear or time-variant characteristics. The introduction of linear parameter-varying (LPV) systems led to various gain-scheduled controller design techniques in both state-space and frequency domain during the last 30 years. In spite of all these, there is still a lack of general approaches for advanced guaranteed cost PID/PSD controller design approaches for LPV systems. In this paper a new advanced controller design approach for discrete-time gain-scheduled guaranteed cost PSD controller design with input saturation and anti-windup is presented for uncertain LPV systems. In addition, the controller design problem is formulated in such a way, which gives convex dependency regarding the scheduled parameters. It results in a less conservative controller design compared to approaches using quadratic stability or the multiconvexity lemma and it's relaxations. Finally, a numerical example shows the benefits of the proposed approach.

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Denna post skapades 2017-06-14. Senast ändrad 2017-11-08.
CPL Pubid: 249773


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Institutionen för signaler och system (1900-2017)



Chalmers infrastruktur