A New Stability Criterion for IoT Systems in Smart Buildings: Temperature Case Study

The concept of smart cities emerged in the 1990s. Since then, smart buildings have become a closely interconnected element of smart cities. This type of building implements Internet of Things technology and control algorithms to monitor and control their indoor environment. The aim of this paper is to develop a new stability criterion method for smart building Internet of Things (IoT) systems, subject to external disturbances. The new stability criterion is going to optimize the operation of control algorithms since this criterion does not depend on the transmission function of the control algorithm but on the data collected by the IoT system. We present a new matrix called “Laplacian IoT matrix”, containing IoT network information associated with the graph of a smart building. The proposal is supported by the results of a numerical case study.

[1]  Juan M. Corchado,et al.  Fault-Tolerant Temperature Control Algorithm for IoT Networks in Smart Buildings , 2018, Energies.

[2]  G. Stewart,et al.  Gershgorin Theory for the Generalized Eigenvalue Problem Ax — \ Bx , 2010 .

[3]  Antonio Vicino,et al.  Demand-response in building heating systems: A Model Predictive Control approach , 2016 .

[4]  Raad Z. Homod,et al.  Analysis and optimization of HVAC control systems based on energy and performance considerations for smart buildings , 2018, Renewable Energy.

[5]  Juan M. Corchado,et al.  Non-linear adaptive closed-loop control system for improved efficiency in IoT-blockchain management , 2019, Inf. Fusion.

[6]  Kazem Sohraby,et al.  IoT Considerations, Requirements, and Architectures for Smart Buildings—Energy Optimization and Next-Generation Building Management Systems , 2017, IEEE Internet of Things Journal.

[7]  Andoni Urtasun,et al.  On the Stability of Advanced Power Electronic Converters: The Generalized Bode Criterion , 2019, IEEE Transactions on Power Electronics.

[8]  Haoxiang Wang,et al.  Efficient IoT-based sensor BIG Data collection-processing and analysis in smart buildings , 2017, Future Gener. Comput. Syst..

[9]  Helmut Finner,et al.  A Generalization of Holder's Inequality and Some Probability Inequalities , 1992 .

[10]  Muhammad Kamran Siddiqui,et al.  Study of biological networks using graph theory , 2017, Saudi journal of biological sciences.

[11]  F. L. Bauer Fields of values and Gershgorin disks , 1968 .

[12]  Anne Greenbaum,et al.  First-order Perturbation Theory for Eigenvalues and Eigenvectors , 2019, SIAM Rev..

[13]  Ondrej Krejcar,et al.  Smart Furniture as a Component of a Smart City—Definition Based on Key Technologies Specification , 2019, IEEE Access.

[14]  Paul P. Maglio,et al.  Data-Driven Understanding of Smart Service Systems Through Text Mining , 2018, Service Science.

[15]  A. S. Deif Realistic a Priori and a Posteriori Error Bounds for Computed Eigenvalues , 1990 .

[16]  Chao Yang,et al.  Intelligent Edge Computing for IoT-Based Energy Management in Smart Cities , 2019, IEEE Network.

[17]  In Lee,et al.  The Internet of Things (IoT): Applications, investments, and challenges for enterprises , 2015 .

[18]  Yong Xian Ng,et al.  Computation of Stability Criterion for Fractional Shimizu-Morioka System Using Optimal Routh-Hurwitz Conditions , 2019, Comput..

[19]  Juan M. Corchado,et al.  IoT network slicing on virtual layers of homogeneous data for improved algorithm operation in smart buildings , 2020, Future Gener. Comput. Syst..

[20]  T. Nguyen,et al.  Influence of the spatial variability of the root cohesion on a slope-scale stability model: a case study of residual soil slope in Thailand , 2018, Bulletin of Engineering Geology and the Environment.

[21]  Chung-Yao Kao,et al.  Simple stability criteria for systems with time-varying delays , 2004, Autom..

[22]  Alexey S. Matveev,et al.  Tsypkin and Jury–Lee Criteria for Synchronization and Stability of Discrete-Time Multiagent Systems , 2018, Autom. Remote. Control..

[23]  Jing Wang,et al.  Design of a Generalized Control Algorithm for Parallel Inverters for Smooth Microgrid Transition Operation , 2015, IEEE Transactions on Industrial Electronics.

[24]  Min Yang,et al.  Step-width theoretics and numerics of four-point general DTZN model for future minimization using Jury stability criterion , 2019, Neurocomputing.

[25]  Javier Prieto,et al.  Distributed Continuous-Time Fault Estimation Control for Multiple Devices in IoT Networks , 2019, IEEE Access.

[26]  C. T. Fike,et al.  Norms and exclusion theorems , 1960 .

[27]  Tu Yu Distribution Network Operation Control Algorithm for Distributed Data Quality Management System , 2020 .

[28]  Martin Kozek,et al.  Comprehensive smart home energy management system using mixed-integer quadratic-programming , 2018, Applied Energy.

[29]  Pierre Vandergheynst,et al.  Graph Signal Processing: Overview, Challenges, and Applications , 2017, Proceedings of the IEEE.

[30]  Juan M. Corchado,et al.  A game theory approach for cooperative control to improve data quality and false data detection in WSN , 2018, International Journal of Robust and Nonlinear Control.

[31]  Abbas Javed,et al.  Design and Implementation of a Cloud Enabled Random Neural Network-Based Decentralized Smart Controller With Intelligent Sensor Nodes for HVAC , 2017, IEEE Internet of Things Journal.