Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems

Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems

The problem of guaranteeing stability from the entire null controllable region (NCR) for multi-input linear dynamical systems is addressed in the present manuscript. The proposed controller design is inspired by results for single input systems and generalized to multiple input systems. The approach...

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Main Authors: Angela Battista, Prashant Mhaskar
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Mathematics
Subjects:
linear dynamicle systems
null controllable region
input constraints
Online Access:https://www.mdpi.com/2227-7390/9/10/1110
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spelling doaj-a2e3a8e3e65543d991375cc046afd7142021-06-01T00:00:53ZengMDPI AGMathematics2227-73902021-05-0191110111010.3390/math9101110Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear SystemsAngela Battista0Prashant Mhaskar1Department of Chemical Engineering, McMaster University, Hamilton, ON L8S 4L7, CanadaDepartment of Chemical Engineering, McMaster University, Hamilton, ON L8S 4L7, CanadaThe problem of guaranteeing stability from the entire null controllable region (NCR) for multi-input linear dynamical systems is addressed in the present manuscript. The proposed controller design is inspired by results for single input systems and generalized to multiple input systems. The approach relies on utilizing the level sets of the NCR as level sets of a Lyapunov function. A contractive constraint is incorporated into a model predictive control design, guaranteeing feasibility for any horizon length, and resulting in the NCR as the closed-loop stability region. The proposed method is illustrated using a simulation example.https://www.mdpi.com/2227-7390/9/10/1110linear dynamicle systemsnull controllable regioninput constraints
collection DOAJ
language English
format Article
sources DOAJ
author Angela Battista
Prashant Mhaskar
spellingShingle Angela Battista
Prashant Mhaskar
Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
Mathematics
linear dynamicle systems
null controllable region
input constraints
author_facet Angela Battista
Prashant Mhaskar
author_sort Angela Battista
title Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
title_short Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
title_full Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
title_fullStr Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
title_full_unstemmed Definition and Utilization of the Null Controllable Region for Model Predictive Control of Multi-Input Linear Systems
title_sort definition and utilization of the null controllable region for model predictive control of multi-input linear systems
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-05-01
description The problem of guaranteeing stability from the entire null controllable region (NCR) for multi-input linear dynamical systems is addressed in the present manuscript. The proposed controller design is inspired by results for single input systems and generalized to multiple input systems. The approach relies on utilizing the level sets of the NCR as level sets of a Lyapunov function. A contractive constraint is incorporated into a model predictive control design, guaranteeing feasibility for any horizon length, and resulting in the NCR as the closed-loop stability region. The proposed method is illustrated using a simulation example.
topic linear dynamicle systems
null controllable region
input constraints
url https://www.mdpi.com/2227-7390/9/10/1110
work_keys_str_mv AT angelabattista definitionandutilizationofthenullcontrollableregionformodelpredictivecontrolofmultiinputlinearsystems
AT prashantmhaskar definitionandutilizationofthenullcontrollableregionformodelpredictivecontrolofmultiinputlinearsystems
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