ℋ∞ Control for Markov Jump Systems with Nonlinear Noise Intensity Function and Uncertain Transition Rates

Entropy

Xiaonian Wang²  Yafeng Guo¹  J. A. Tenreiro Machado² 

[1] Department of Control Science and Engineering, Tongji University, Shanghai 201804, China; E-Mail

关键词: robust ℋ_∞ control;    Markovian parameters;    nonlinearity;    uncertainty;   

DOI  :  10.3390/e17074762

来源: mdpi

【 摘 要 】

The problem of robust ℋ_∞ control is investigated for Markov jump systems with nonlinear noise intensity function and uncertain transition rates. A robust ℋ_∞ performance criterion is developed for the given systems for the first time. Based on the developed performance criterion, the desired ℋ_∞ state-feedback controller is also designed, which guarantees the robust ℋ_∞ performance of the closed-loop system. All the conditions are in terms of linear matrix inequalities (LMIs), and hence they can be readily solved by any LMI solver. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methods.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland