scholarly journals A Reference Governor for Nonlinear Systems With Disturbance Inputs Based on Logarithmic Norms and Quadratic Programming

2020 ◽  
Vol 65 (7) ◽  
pp. 3207-3214 ◽  
Author(s):  
Nan Li ◽  
Ilya V. Kolmanovsky ◽  
Anouck Girard
Keyword(s):  
Nonlinear Systems ◽  
Quadratic Programming ◽  
Logarithmic Norms ◽  
Reference Governor

A Reference Governor for Nonlinear Systems Based on Quadratic Programming

2016 ◽  
Author(s):  
Nan I. Li ◽  
Ilya Kolmanovsky ◽  
Anouck Girard
Keyword(s):  
Nonlinear Systems ◽  
Quadratic Programming ◽  
Optimization Problem ◽  
Inequality Constraints ◽  
Closed Loop System ◽  
Linear Inequality Constraints ◽  
And Control ◽  
Bounded Disturbance ◽  
State And Control Constraints ◽  
Reference Governor

The reference governor modifies set-point commands to a closed-loop system in order to enforce state and control constraints. In this paper, we describe an approach to reference governor implementation for nonlinear systems, which is based on bounding (covering) the response of a nonlinear system by the response of a linear model with a set-bounded disturbance input. Such a design strategy is of interest as it reduces the online optimization problem to a convex quadratic programming (QP) problem with linear inequality constraints, thereby permitting standard QP solvers to be used. A numerical example is reported.

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