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Paper details
Number 1 - March 2021
Volume 31 - 2021
Conditions and a computation method of the constrained regulation problem for a class of fractional-order nonlinear continuous-time systems
Xindong Si, Hongli Yang, Ivan G. Ivanov
Abstract
The constrained regulation problem (CRP) for fractional-order nonlinear continuous-time systems is investigated. New
existence conditions of a linear feedback control law for a class of fractional-order nonlinear continuous-time systems under
constraints are proposed. A computation method for solving the CRP for fractional-order nonlinear systems is also
presented. Using the comparison principle and positively invariant set theory, conditions guaranteeing positive invariance
of a polyhedron for fractional-order nonlinear systems are established. A linear feedback controller model and the corresponding algorithm of the CRP for fractional nonlinear systems are also proposed by using the obtained conditions. The
presented model of the CRP is formulated as a linear programming problem, which can be easily implemented from a
computational point of view. Numerical examples illustrate the proposed method.
Keywords
fractional-order nonlinear systems, constrained regulation, positively invariant set, linear programming