H∞ control for Markovian jump systems with partially unknown transition rates via an adaptive method

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Zhai, Ding¹  Lu, An-Yang¹  Liu, Ming²  Zhang, Qing-Ling¹ 

[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China

[2] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China

关键词: H-infinity control;    Markovian jump systems;    Partially unknown transition rates;    Linear matrix inequality;    Adaptive method;   

DOI  :  10.1016/j.jmaa.2016.09.027

来源: Elsevier

【 摘 要 】

This paper investigates the problem of the H-infinity control for a class of continuous-time Markovian jump systems with partially unknown transition rates. An adaptive H-infinity performance index is defined to describe the disturbance attenuation performance of Markovian jump systems. By combining the linear matrix inequality (LMI) approach for designing H-infinity controllers and the adaptive method for estimating the unknown terms, a new method for designing the H-infinity controllers is proposed, where an estimation of the transition rate matrix is given and the controller parameter matrices are dependent on the known transition rates and the estimations of the unknown terms. The sufficient conditions for the existence of the adaptive state feedback controller and the adaptive dynamic output feedback controller are proposed and the estimations of the unknown transition rates are obtained from the adaptive laws. It is shown that the proposed adaptive controllers provide better performance than the traditional fixed gain controllers. A practical example is provided to illustrate the effectiveness and advantage of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free