NDLI: Hybrid control: a paradigm for implementing control to nonlinear systems with guaranteed stability regions

Content Provider	IEEE Xplore Digital Library
Author	El-Farra, N.H. Mhaskar, P. Christofides, P.D.
Copyright Year	2003
Description	Author affiliation: Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA (El-Farra, N.H.; Mhaskar, P.; Christofides, P.D.)
Abstract	A hybrid control structure that unites bounded control with model predictive control (MPC) is proposed for the constrained stabilization of nonlinear systems. The structure consists of: 1) a finite-horizon model predictive controller, which can be linear or nonlinear, and with or without stability constraints, 2) a family of bounded nonlinear controllers for which the regions of constrained closed-loop stability are explicitly characterized, and 3) a high-level supervisor that orchestrates switching between MPC and the bounded controllers. The central idea is to embed MPC implementation within the bounded controllers' stability regions and employ these controllers as fall-back in the event that MPC is unable to achieve closed-loop stability. Switching laws, that monitor the closed-loop state evolution under MPC, are derived to orchestrate the transitions in a way that guarantees asymptotic closed-loop stability for all initial conditions within the union of the stability regions. The proposed hybrid scheme is shown to provide a paradigm for the safe implementation of predictive control algorithms to nonlinear systems, with guaranteed stability regions. The efficacy of the proposed approach is demonstrated through a chemical reactor example.
Sponsorship	American Automatic Control Council IFAC
Starting Page	4899
Ending Page	4907
File Size	768643
Page Count	9
File Format	PDF
ISBN	0780378962
ISSN	07431619
DOI	10.1109/ACC.2003.1242499
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2003-06-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear control systems Control systems Nonlinear systems Predictive models Predictive control Centralized control Asymptotic stability Condition monitoring Prediction algorithms Chemical reactors
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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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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