Improvement on set membership identification by zonotopes

Wei Chai; Xianfang Sun

doi:10.1117/12.718049

30 October 2006 Improvement on set membership identification by zonotopes

Wei Chai, Xianfang Sun

Proceedings Volume 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation; 635830 (2006) https://doi.org/10.1117/12.718049
Event: Sixth International Symposium on Instrumentation and Control Technology, 2006, Beijing, China

Abstract

An improved set membership identification algorithm by zonotopes is proposed for time-varying parameterized discretetime systems. The system noises are assumed to be unknown but bounded (UBB). The improved algorithm based on a tighter description of the intersection of a zonotope and a strip can give a smaller zonotope containing the parameters consistent with measured outputs and the given bounds of the noises. Simulation experiments are conducted showing the performance of the improved algorithm as compared to the original algorithm and the recursive optimal bounding parallelotope (ROBP) algorithm. Two types of parameter variation, uniformly distributed and uniformly heavy tailed parameter variations, are considered. The results show that the improved algorithm is the best in terms of the guaranteed bounds of the parameters.

Citation Download Citation

Wei Chai and Xianfang Sun "Improvement on set membership identification by zonotopes", Proc. SPIE 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, 635830 (30 October 2006); https://doi.org/10.1117/12.718049

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