Dynamic Output Feedback Control for Fractional-Order Systems

2012 ◽  
Vol 15 (3) ◽  
pp. 834-848 ◽  
Author(s):  
Xiaona Song ◽  
Zhen Wang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Dynamic Output Feedback ◽  
Fractional Order Systems ◽  
Dynamic Output

scholarly journals Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system

2020 ◽  
Vol 25 (2) ◽  
Author(s):  
Rathinasamy Sakthivel ◽  
Hari Hara Subramanian Divya ◽  
Saminathan Mohanapriya ◽  
Yong Ren
Keyword(s):  
Blood Glucose ◽  
Feedback Control ◽  
Fractional Order ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Disturbance Attenuation ◽  
Control Law ◽  
Reliable Control ◽  
Dynamic Output Feedback ◽  
Dynamic Output

The main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system. Specifically, a robust control law that represents the insulin injection rate is designed in order to regulate the level of glucose in diabetes treatment in the existence of meal disturbance or external glucose infusion due to improper diet. By the construction of suitable Lyapunov functional, a novel set of sufficient conditions is derived with the aid of linear matrix inequalities for obtaining the required dynamic output feedback control law. In particular, the designed controller ensures the robust stability and disturbance attenuation performance against meal disturbance of the glucose–insulin system. Numerical simulation results are performed to verify the advantage of the developed design technique. Specifically, the irregular blood glucose level can be brought down to normal level by injecting suitable rate of insulin to the patient. The result exposes that the level of blood glucose is sustained in the identified ranges via the proposed dynamic output feedback control law. 

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