A linear programming approach for stabilization of positive Markovian jump systems with a saturated single input. (August 2018)

• Record Type: Journal Article
• Authors: Park, In Seok; Kwon, Nam Kyu; Park, PooGyeon
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 322
• Page End: 332
• Publication Date: 2018-08
• Subjects: Linear programming -- Positive Markovian jump systems -- Input saturation -- State-feedback control; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.03.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper proposes a linear programming approach for stabilization of positive Markovian jump systems (PMJSs) with a saturated single input. The proposed approach first derives a sufficient condition for stabilization of PMJSs with input saturation based on the linear co-positive Lyapunov function. By introducing an intermediate scalar whose absolute value is less than the absolute value of product of nonnegative vector of the linear co-positive Lyapunov function and input matrix and constructing a special form of the controller gains, this approach obtains a modified condition applicable for the linear programming. Finally, four numerical examples show that the proposed approach gives the larger domain of attraction than the existing approach based on the quadratic Lyapunov function.