l^sub ^2-l^sub [infinity]^ reliable control for discrete time-delay systems with fractional uncertainties and saturated package losses

• Published in: IET control theory & applications 2014-07, Vol.8 (11), p.891-891
• Main Authors: Li, Zhen'na, Shu, Huisheng, Kan, Xiu
• Format: Article
• Language: English
• Subjects: Actuator failure; Control systems; Design engineering; Mathematical models; Nonlinearity; Packages; Stochasticity; Uncertainty
• ISSN: 1751-8644; 1751-8652

This study deals with the l^sub 2^-l^sub ∞^ reliable control problem for a class of discrete time-delay systems. The considered system involves fractional uncertainties, saturated package losses and stochastic non-linearities as well as possible actuator failures. A sensor model is proposed to depict the phenomenon of saturated package losses which better reflect the reality in a networked environment. In addition, stochastic non-linearities with statistical characteristics cover several well-studied non-linear functions as special cases. The focus of this study is placed upon the design of a reliable controller such that the closed-loop system satisfies a prescribed noise attenuation level in an l^sub 2^-l^sub ∞^ sense. By utilising stochastic analysis methods, some sufficient conditions are established to guarantee both the exponentially mean-square stability and the l^sub 2^-l^sub ∞^ performance. Owing to the obtained conditions with a non-linear equality constraint, the cone complementary linearisation method is exploited to cast them into a convex optimisation problem, which can be readily solved by using standard numerical software. Finally, a simulation example is exploited to demonstrate the applicability of the proposed design approach.