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Mathematics 2018, 6(5), 69; https://doi.org/10.3390/math6050069

Safeness Index-Based Economic Model Predictive Control of Stochastic Nonlinear Systems

1
Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095-1592, USA
2
Department of Chemical Engineering and Materials Science, Wayne State University, Detroit, MI 48202, USA
3
Department of Electrical and Computer Engineering, University of California, Los Angeles, CA 90095-1592, USA
*
Author to whom correspondence should be addressed.
Received: 28 March 2018 / Revised: 26 April 2018 / Accepted: 27 April 2018 / Published: 3 May 2018
(This article belongs to the Special Issue New Directions on Model Predictive Control)
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Abstract

Process operational safety plays an important role in designing control systems for chemical processes. Motivated by this, in this work, we develop a process Safeness Index-based economic model predictive control system for a broad class of stochastic nonlinear systems with input constraints. A stochastic Lyapunov-based controller is first utilized to characterize a region of the state-space surrounding the origin, starting from which the origin is rendered asymptotically stable in probability. Using this stability region characterization and a process Safeness Index function that characterizes the region in state-space in which it is safe to operate the process, an economic model predictive control system is then developed using Lyapunov-based constraints to ensure economic optimality, as well as process operational safety and closed-loop stability in probability. A chemical process example is used to demonstrate the applicability and effectiveness of the proposed approach. View Full-Text
Keywords: process operational safety; economic model predictive control; Safeness Index; nonlinear systems; chemical processes; probabilistic uncertainty process operational safety; economic model predictive control; Safeness Index; nonlinear systems; chemical processes; probabilistic uncertainty
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Wu, Z.; Durand, H.; Christofides, P.D. Safeness Index-Based Economic Model Predictive Control of Stochastic Nonlinear Systems. Mathematics 2018, 6, 69.

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