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Local Sampled-Data Gain-Scheduling Control of quasi-LPV Systems

COUTINHO, Pedro Henrique Silva; PEIXOTO, Márcia Luciana da Costa; BERNAL, Miguel; NGUYEN, Anh-Tu; PALHARES, Reinaldo Martinez

2021 • 4th IFAC Conference on Embedded Systems, Computational Intelligence and Telematics in Control - CESCIT'21 • 7 citações

Resumo

This paper deals with the problem of sampled-data gain-scheduling control design for affine quasi-LPV systems. As the control implementation is based on sample-data and its update occurs only at specific sampling instants, the state-dependent scheduling functions of the controller are piecewise continuous. This characteristic causes a mismatch between the system model and the controller parameters, namely asynchronous scheduling functions of the controller with respect to the plant during the inter-sampling behavior. To cope with this phenomenon, a polytopic description of the inter-sampling is constructed based on bounding assumptions on the scheduling functions and their time derivatives. Then, regarding a time-delay approach, a constructive and numerically implementable LMI-based synthesis condition is derived, and a convex procedure is proposed for enlarging the estimate of the region of attraction of the origin of the closed-loop system. The time-derivative bounds of the scheduling functions are explicitly accounted into the local analysis to ensure the method’s implementation. A numerical example is provided to illustrate the proposed methodology.

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