Non-fragile feedback control with L2 gain performance of uncertain neutral-type stochastic Markovian jump systems

ABSTRACT

This paper deals with the problem of robust non-fragile observer-based state feedback control for a class of uncertain neutral-type stochastic Markovian jump systems subject to parameter uncertainties and time-delay. The attention is focused on the design of a non-fragile observer and a non-fragile controller that guarantees exponential mean-square stability and ${\mathcal{L}}_2$ gain performance of the closed-loop system. By using Lyapunov functional theory, delay-dependent less conservative sufficient conditions in terms of linear matrix inequalities (LMIs) based on a new bounded lemma are established to check the feasibility of these two properties. Furthermore, the results are extended to nominal systems without state delay in its derivative. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

KEYWORDS:

• Non-fragile observer
• stochastic systems
• Markovian jump systems
• linear matrix inequality
• time-delay

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by National Natural Science Foundation of China [61473097]; the State Key Program of Natural Science Foundation of China [U1533202]; Shandong Independent Innovation and Achievements Transformation Fund [2014CGZH1101]; Civil Aviation Administration of China [MHRD20150104]; and the Qingdao Postdoctoral Application Research Project [grant number 2015117].