title: Multilevel adaptive control of nonlinear interconnected systems.
abstract: This paper presents an adaptive backstepping-based multilevel approach for the first time to control nonlinear interconnected systems with unknown parameters. The system consists of a nonlinear controller at the first level to neutralize the interaction terms, and some adaptive controllers at the second level, in which the gains are optimally tuned using genetic algorithm. The presented scheme can be used in systems with strong couplings where completely ignoring the interactions leads to problems in performance or stability. In order to test the suitability of the method, two case studies are provided: the uncertain double and triple coupled inverted pendulums connected by springs with unknown parameters. The simulation results show that the method is capable of controlling the system effectively, in both regulation and tracking tasks.
authors.affiliation: Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran. Electronic address: farzaneh.motallebzadeh@gmail.com.
authors.forename: Farzaneh
authors.initials: F
authors.lastname: Motallebzadeh
authors.affiliation: Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran. Electronic address: ozgoli@modares.ac.ir.
authors.forename: Sadjaad
authors.initials: S
authors.lastname: Ozgoli
authors.affiliation: Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran. Electronic address: momeni_h@modares.ac.ir.
authors.forename: Hamid Reza
authors.initials: HR
authors.lastname: Momeni
keywords: Adaptive backstepping design; Coupled inverted pendulums; Genetic algorithm; Interconnected nonlinear systems; Multilevel control