title: Nonlinear stabilization for a class of time delay systems via inverse optimality approach.
abstract: This paper is devoted to obtain a stabilizing optimal nonlinear controller based on the well known Control Lyapunov-Krasovskii Functional (CLKF) approach, aimed to solve the inverse optimality problem for a class of nonlinear time delay systems. To determine sufficient conditions for the Bellman's equation solution of the system under consideration, the CLKF and the inverse optimality approach are considered in this paper. In comparison with previous results, this scheme allows us to obtain less conservative controllers, implying energy saving (in terms of average power consumption for a specific thermo-electrical process). Sufficient delay-independent criteria in terms of CLKF is obtained such that the closed-loop nonlinear time-delay system is guaranteed to be local Asymptotically Stable. To illustrate the effectiveness of the theoretical results, a comparative study with an industrial PID controller tuned by the Ziegler-Nichols methodology (Z-N) and a Robust-PID tuned by using the D-partition method is presented by online experimental tests for an atmospheric drying process with time delay in its dynamics.
authors.affiliation: Research Center on Technology of Information and Systems (CITIS) of the Autonomous University of Hidalgo State (UAEH), Mexico.
authors.forename: Patricio
authors.initials: P
authors.lastname: Ordaz
authors.affiliation: Research Center on Technology of Information and Systems (CITIS) of the Autonomous University of Hidalgo State (UAEH), Mexico. Electronic address: omarj@uaeh.edu.mx.
authors.forename: Omar-Jacobo
authors.initials: OJ
authors.lastname: Santos-Sánchez
authors.affiliation: Automatic Control Department of the Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV-IPN), Mexico.
authors.forename: Liliam
authors.initials: L
authors.lastname: Rodríguez-Guerrero
authors.affiliation: Electric and Electronic Engineering Department, Minatitlan Institute of Technology, Mexico.
authors.forename: Alberto
authors.initials: A
authors.lastname: González-Facundo
keywords: Atmospheric tomatoes drying process; Control Lyapunov-Krasovskii functional; Inverse optimality; Time delay control system