NDLI: Constrained model predictive control for positive systems

Content Provider	IET Digital Library
Author	Mehrivash, Hamed Shafiei, Mohammad Hossein
Abstract	This article is devoted to the problem of model predictive control (MPC) design for discrete-time and continuous-time positive systems with state and input constraints. The proposed controllers are so designed that the closed-loop constrained systems are positive and stable, meanwhile, linear infinite horizon cost functions through their upper bounds are minimised. In the discrete-time case, the performance of the control system compared to existing studies is remarkably improved. Moreover, in the continuous-time case, the proposed MPC is such that can be directly applied to the continuous-time positive system without discretisation. The merit of this method is that the sampling interval has nothing to do with the stability of the system, just a shorter sampling period results in better optimality and performance. In addition, by defining a slack variable and accounting it in the minimisation problems, a fast rate of convergence will be obtained. In order to solve the optimisation problem of MPC, linear programming (LP) is used which needs to be solved at each iteration. All conditions are derived in the form of LP. Finally, to demonstrate the effectiveness of the proposed method, comparisons with the existing studies are presented through practical and numerical examples.
Starting Page	1491
Ending Page	1499
Page Count	9
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 10, Jul (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5755
Journal	IET Control Theory & Applications
Publisher Date	2019-04-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Closed Loop System Closed-loop Constrained System Constrained Model Predictive Control Continuous Time System Continuous-time Case Continuous-time Positive System Control System Discrete Control System Discrete Time System Discrete-time Case Infinite Horizon Input Constraint Linear Infinite Horizon Cost Function Linear Programming Linear System Minimisation Problem Model Predictive Control Design MPC Optimal Control Optimisation Technique Predictive Control Shorter Sampling Period Result Stability Stability in Control Theory
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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