A new approach to robust reliable H_∞ control for uncertain nonlinear systems

Abstract

This paper focuses on the optimal robust reliable H_∞ control for a class of uncertain nonlinear systems with actuator faults. A new method of annihilating uncertain matrix is proposed. Based on this approach, a new method of disposing of the phenomenon of uncertain matrices multiplication is provided. In accordance with the method, the optimal robust reliable H_∞ control problem for uncertain nonlinear systems is settled by employing state feedback, in terms of linear matrix inequality (LMI). Finally, two illustrative examples are given to show the feasibility and validity of the proposed method.

Keywords:

• nonlinear system
• reliable control
• H_∞ control
• actuator faults
• linear matrix inequality (LMI)

Additional information

Funding

The work is supported by the National Natural Science Foundation of China [grant number 61104116], [grant number 61273171], [grant number 613111062]; the Doctoral Fund of Ministry of Education of China [grant number 20113218110011]; a project funded by the Priority Academic Programme Development of Jiangsu Higher Education Institutions, Natural Science Foundation of Jiangsu Province [grant number BK20131364]; the Fundamental Research Funds for the Central Universities [grant number NE2014202]; funding of Jiangsu Innovation Programme for Graduate Education [grant number CXZZ13_0168].

Notes on contributors

Hao Hu

Hao Hu was born in Henan Province, China, in 1986. He received the BE degree in applied mathematics from Anshan Normal University in 2009 and the ME degree in operational research and control theory from Shenyang Normal University in 2012. He has been a PhD student in College of Automation Engineering, Nanjing University of Aeronautics and Astronautics since April 2012. His research interests include robust control, fault-tolerant control, pole assignment, H_∞ control, delta operator systems and switched systems.

Bin Jiang

Bin Jiang was born in Jiangxi, China, in 1966. He obtained the PhD degree in automatic control from Northeastern University, Shenyang, China, in 1995. He had been a postdoctoral fellow, research fellow, invited professor and visiting professor in Singapore, France, USA and Canada, respectively. Now he is a chair professor of Cheung Kong Scholar Programme in the Ministry of Education and dean of College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, China. He currently serves as an associate editor or editorial board member for a number of journals such as IEEE Transactions on Control Systems Technology; International Journal of Control, Automation and Systems; Nonlinear Analysis: Hybrid Systems; International Journal of Applied Mathematics and Computer Science; Mathematical Problems in Engineering; Acta Automatica Sinica; and Journal of Astronautics. He is a senior member of IEEE, chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision and Safety of Technical Processes. His research interests include fault diagnosis and fault-tolerant control and their applications.

Hao Yang

Hao Yang was born in Nanjing, China, in 1982. He received PhD degrees in automatic control from Nanjing University of Aeronautics and Astronautics (NUAA), China, and Universit$\acute{\text{e}}$ de Lille 1: Sciences et Technologies, France, both in 2009. Since 2009, he joined College of Automation Engineering in NUAA, where he is currently an associate professor. He serves as an associate editor for Nonlinear Analysis: Hybrid Systems. His research interests include stability and fault-tolerant control of switched and hybrid systems, interconnected and multi-agent systems with their applications.