A new combination of fractional order (FO) nonlinear control and sliding mode observer (SMO) for blood glucose regulation in type 1 diabetes mellitus is proposed in this paper. An observer estimates the difﬁcult-to-measure process variables that are signiﬁcant to control law design and to prevent failures. A SMO is proposed to estimate non-measurable states variables of Bergman minimal model by data acquired from a continuous glucose monitoring sensor. At ﬁrst based on Backstepping method with FO sliding surface a control signal is proposed, and then interval type 2 fuzzy logic is utilized to reduce the chattering phenomenon in control signal. The FO sliding mode control provides robust performance and the Backstepping algorithm protects the controller in front of mismatched and matched uncertainties. Simulation results of the proposed controller are compared with its integer counterpart. Keywords Fractional order calculus · Backstepping algorithm · Sliding mode observer · Interval type-2 fuzzy logic · Type 1 diabetes mellitus 1 Introduction damage to the retina, cardiovascular damage, or damage to feet and legs. According to a report of International Dia- Diabetes mellitus is caused by a variation in the metabolism betes Federation, there will be about 642 million diabetes of glucose. The diabetic
International Journal of Dynamics and Control – Springer Journals
Published: Jun 5, 2018
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