Fixed point transformation-based adaptive optimal control using NLP

Khan, Hamza; Szeghegyi, Ágnes; Tar, J.K.

doi:10.1109/sisy.2017.8080560

Cited by 5 publications

(3 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The RHC framework can be hardly combined with the Lyapunov function based control. However, certain approaches can be found in the literature where the Lyapunov stability [35] and RHC were successfully combined for specific cases [36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Receding Horizon Control of Type 1 Diabetes Mellitus by Using Nonlinear Programming

et al. 2018

Self Cite

View full text Add to dashboard Cite

Receding Horizon Controllers are one of the mostly used advanced control solutions in the industry. By utilizing their possibilities we are able to predict the possible future behavior of our system; moreover, we are able to intervene in its operation as well. In this paper we have investigated the possibilities of the design of a Receding Horizon Controller by using Nonlinear Programming. We have applied the developed solution in order to control Type 1 Diabetes Mellitus. The nonlinear optimization task was solved by the Generalized Reduced Gradient method. In order to investigate the performance of our solution two scenarios were examined. In the first scenario, we applied “soft” disturbance—namely, smaller amount of external carbohydrate—in order to be sure that the proposed method operates well and the solution that appeared through optimization is acceptable. In the second scenario, we have used “unfavorable” disturbance signal—a highly oscillating external excitation with cyclic peaks. We have found that the performance of the realized controller was satisfactory and it was able to keep the blood glucose level in the desired healthy range—by considering the restrictions for the usable control action.

show abstract

Section: Introductionmentioning

confidence: 99%

Receding Horizon Control of Type 1 Diabetes Mellitus by Using Nonlinear Programming

et al. 2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this early approach the "Robust Fixed Point Transformation (RFPT)" was used for transforming the control task into a fixed point problem. Later on to confirm its applicability several papers were produced using this FPI method from various applicable aspects (e.g., [24][25][26][27] etc.) and other functions were introduced too, for this task (e.g., [28][29][30]).…”

Section: On the Concept Of Using Of Fixed Point Iteration-based Contrmentioning

confidence: 99%

Application of the Robust Fixed Point Iteration Method in Control of the Level of Twin Tanks Liquid

2020

Self Cite

View full text Add to dashboard Cite

Precise control of the flow rate of fluids stored in multiple tank systems is an important task in process industries. On this reason coupled tanks are considered popular paradigms in studies because they form strongly nonlinear systems that challenges the controller designers to develop various approaches. In this paper the application of a novel, Fixed Point Iteration (FPI)-based technique is reported to control the fluid level in a “lower tank” that is fed by the egress of an “upper” one. The control signal is the ingress rate at the upper tank. Numerical simulation results obtained by the use of simple sequential Julia code with Euler integration are presented to illustrate the efficiency of this approach.

show abstract

“…(The different sections may correspond to different relative order control tasks.) In [61] it was pointed out that the FPI-based control can be easily combined with the mathematical framework of the "Receding Horizon Controllers" (RHC) (e.g. [62]).…”

Section: Robotics and Automation Engineering Journalmentioning

confidence: 99%