title: Robust control of uncertain nonlinear switched genetic regulatory networks with time delays: A redesign approach.
abstract: In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs) is investigated. The developed method is an integral sliding mode control based redesign for a class of perturbed dissipative switched GRNs with time delays. The control law is redesigned by modifying the dissipativity-based control law that was designed for the unperturbed GRNs with time delays. The switched GRNs are switched from one mode to another based on time, state, etc. Although, the active subsystem is known in any instance, but the switching law and the transition probabilities are not known. The model for each mode is considered affine with matched and unmatched perturbations. The redesigned control law forces the GRN to always remain on the sliding surface and the dissipativity is maintained from the initial time in the presence of the norm-bounded perturbations. The global stability of the perturbed GRNs is maintained if the unperturbed model is globally dissipative. The designed control law for the perturbed GRNs guarantees robust exponential or asymptotic stability of the closed-loop network depending on the type of stability of the unperturbed model. The results are applied to a nonlinear switched GRN, and its convergence to the origin is verified by simulation.
authors.affiliation: Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, P.O. Box 14115-194, Tehran, Iran.
authors.forename: Hojjatullah
authors.initials: H
authors.lastname: Moradi
authors.affiliation: Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, P.O. Box 14115-194, Tehran, Iran. Electronic address: majd@modares.ac.ir.
authors.forename: Vahid Johari
authors.initials: VJ
authors.lastname: Majd
mesh_terms: D003198:Computer Simulation; D053263:Gene Regulatory Networks; D055641:Mathematical Concepts; D008957:Models, Genetic; D017711:Nonlinear Dynamics; D013997:Time Factors; D035501:Uncertainty
keywords: Control redesign; Genetic regulatory networks (GRNs); Integral sliding mode control; Perturbation