Experimental Results of Optimal and Robust Control for Uncertain Linear Time-Delay Systems

Héctor-Aristeo López-Labra (), Omar-Jacobo Santos-Sánchez (), Liliam Rodríguez-Guerrero (), Jesús-Patricio Ordaz-Oliver () and Carlos Cuvas-Castillo ()
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Héctor-Aristeo López-Labra: Universidad Autónoma del Estado de Hidalgo
Omar-Jacobo Santos-Sánchez: Universidad Autónoma del Estado de Hidalgo
Liliam Rodríguez-Guerrero: Universidad Autónoma del Estado de Hidalgo
Jesús-Patricio Ordaz-Oliver: Universidad Autónoma del Estado de Hidalgo
Carlos Cuvas-Castillo: Universidad Autónoma del Estado de Hidalgo

Journal of Optimization Theory and Applications, 2019, vol. 181, issue 3, No 18, 1076-1089

Abstract: Abstract This paper addresses the issue of the regulation of the dehydration air temperature in a dryer. The classical optimization approach is used to solve the optimal control problem for this kind of system because the linearized mathematical model involves the delay state. However, the presence in the model of nonlinear uncertainties, which satisfy the matching condition, is a reason to apply the Lyapunov redesign approach. It gives robustness to the optimal linear control, improving the closed-loop performance. Furthermore, the optimal–robust control algorithm was tested in a dehydration process. This is the first time that the optimal and the proposed optimal–robust controller has been applied in a real-time process.

Keywords: Optimal control; Time-delay systems; Lyapunov redesign; Experimental results; 49L20; 93D21; 93C83; 93C95 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-018-01457-9

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