Minimax robust optimal control of multiscale linear-quadratic systems

Hamza Anwar, Quanyan Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

With a growing system complexity in the IoT framework, many networked cyber-physical systems work in a hierarchical fashion. Layers of information outputs and command inputs are available. An active area of research is in optimizing the design of policies and control command that influence information flow for such multi-layered systems. Our focus in current research is to first formulate the control command flow for hierarchical systems in the form of multiscale state-space models on a tree, and then the design of an optimal control law under constraints that relate the states of information across the system layers. We propose a game-theoretic formulation of a robust optimal controller for the broad class of multiscale systems having underlying hierarchical structure. The optimization gives an H controller similar to that for a discrete-time system but with scale as the horizon. We motivate the usage of this work using a layered building temperature control example, and discuss steady-state behavior, convergence, and finally a comparison of our method with the standard LQR control formulation giving supportive simulation results.

Original languageEnglish (US)
Title of host publication2017 51st Annual Conference on Information Sciences and Systems, CISS 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509047802
DOIs
StatePublished - May 10 2017
Event51st Annual Conference on Information Sciences and Systems, CISS 2017 - Baltimore, United States
Duration: Mar 22 2017Mar 24 2017

Other

Other51st Annual Conference on Information Sciences and Systems, CISS 2017
CountryUnited States
CityBaltimore
Period3/22/173/24/17

Fingerprint

Hierarchical systems
Controllers
Temperature control
Minimax
Optimal control
Controller
Cyber Physical System
Internet of things
Hierarchical structure
Temperature
System complexity
Discrete-time
State-space model
Information flow
Simulation

ASJC Scopus subject areas

  • Signal Processing
  • Information Systems and Management
  • Computer Networks and Communications
  • Information Systems

Cite this

Anwar, H., & Zhu, Q. (2017). Minimax robust optimal control of multiscale linear-quadratic systems. In 2017 51st Annual Conference on Information Sciences and Systems, CISS 2017 [7926155] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CISS.2017.7926155

Minimax robust optimal control of multiscale linear-quadratic systems. / Anwar, Hamza; Zhu, Quanyan.

2017 51st Annual Conference on Information Sciences and Systems, CISS 2017. Institute of Electrical and Electronics Engineers Inc., 2017. 7926155.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Anwar, H & Zhu, Q 2017, Minimax robust optimal control of multiscale linear-quadratic systems. in 2017 51st Annual Conference on Information Sciences and Systems, CISS 2017., 7926155, Institute of Electrical and Electronics Engineers Inc., 51st Annual Conference on Information Sciences and Systems, CISS 2017, Baltimore, United States, 3/22/17. https://doi.org/10.1109/CISS.2017.7926155
Anwar H, Zhu Q. Minimax robust optimal control of multiscale linear-quadratic systems. In 2017 51st Annual Conference on Information Sciences and Systems, CISS 2017. Institute of Electrical and Electronics Engineers Inc. 2017. 7926155 https://doi.org/10.1109/CISS.2017.7926155
Anwar, Hamza ; Zhu, Quanyan. / Minimax robust optimal control of multiscale linear-quadratic systems. 2017 51st Annual Conference on Information Sciences and Systems, CISS 2017. Institute of Electrical and Electronics Engineers Inc., 2017.
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