NDLI: Stability-based actuator scheduling in distributed processes with control and communication constraints

Content Provider	IEEE Xplore Digital Library
Author	Ghantasala, S. El-Farra, N.H.
Copyright Year	2009
Description	Author affiliation: Department of Chemical Engineering and Materials Science, University of California, Davis, 95616-5294, USA (Ghantasala, S.; El-Farra, N.H.)
Abstract	This work focuses on control of distributed processes modeled by linear parabolic partial differential equations (PDEs) with constrained and quantized control inputs. Using a suitable finite-dimensional model that captures the PDE's dominant dynamics, we first characterize the inherent conflict in the control design objectives when both control constraints and quantization are simultaneously present, and the implications of this conflict for the spatial placement of the control actuators. At the heart of this conflict is the fact that control constraints limit the set of initial conditions starting from where stability can be achieved, while quantization constrains the set of terminal states that the system can be steered to. Using Lyapunov-based techniques, we explicitly characterize both the stability and terminal regions in terms of the control constraints, the quantization levels and the actuator spatial locations. The analysis reveals that the actuator configuration with the largest stability region also possesses the largest terminal region. This implies that steering the closed-loop state from large initial conditions to arbitrarily small terminal sets may not be possible using a single actuator configuration. To resolve this conflict, we devise an actuator scheduling strategy that orchestrates a finite number of transitions between different actuator configurations based on where the closed-loop state is with respect to the stability and terminal regions at any given time. The theoretical results are illustrated using a diffusion-reaction process example.
Starting Page	492
Ending Page	497
File Size	369836
Page Count	6
File Format	PDF
ISBN	9781424446841
DOI	10.1109/MED.2009.5164590
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-24
Publisher Place	Greece
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Heart Actuators Stability Control design Partial differential equations Process control Communication system control Distributed control Quantization Control systems
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
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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