BibTeX
@MISC{Nguyen_modelpredictive,
author = {Nhan Nguyen},
title = {Model Predictive Optimal Control of a Time-Delay},
year = {}
}
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Abstract
This paper presents an optimal control method for a class of distributed-parameter systems governed by first order, quasilinear hyperbolic partial differential equations that arise in many physical systems. Such systems are characterized by time delays since information is transported from one state to another by wave propagation. A general closed-loop hyperbolic transport model is controlled by a boundary control embedded in a periodic boundary condition. The boundary control is subject to a nonlinear differential equation constraint that models actuator dynamics of the system. The hyperbolic equation is thus coupled with the ordinary differential equation via the boundary condition. Optimality of this coupled system is investigated using variational principles to seek an adjoint formulation of the optimal control problem. The results are then applied to implement a model predictive control design for a wind tunnel to eliminate a transport delay effect that causes a poor Mach number regulation. I.
Keyphrases
model predictive optimal control boundary control periodic boundary condition time delay quasilinear hyperbolic partial differential equation optimal control problem wave propagation model predictive control design hyperbolic equation first order many physical system adjoint formulation wind tunnel nonlinear differential equation constraint transport delay effect coupled system boundary condition poor mach number regulation distributed-parameter system optimal control method ordinary differential equation general closed-loop hyperbolic transport model variational principle
