Abstract
This paper will research the problem of static output feedback (SOF) stabilization of state-constrained switched linear systems via an improved average dwell time method (ADT). Firstly, an improved ADT method is adopted to establish sufficient conditions for SOF of the state-constrained switched linear systems in the form of matrix inequality. It has been shown that this method is less conservative than traditional ADT, which in view of different decay rates of a Lyapunov function related to an active subsystem on the basis of whether the saturations occur or not. Then, a new iterative algorithm is designed to solve the matrix inequality and a SOF controller can be added. In the iterative linear matrix inequality (ILMI) algorithm, it is important not only to overcome the typical bilinear matrix inequality (BMI) problem of SOF, but also to solve the non-convex problem caused by state constraints. Finally, the availability and the applicability of the proposed method is shown by the application of a boost converter.
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Recommended by Associate Editor Huanqing Wang under the direction of Editor Myo Taeg Lim. This work was supported by the National Natural Science Foundation of China (61503071,61703091), Natural Science Foundation of Jilin Province (20180520211JH) and Science Research of Education Department of Jilin Province (201693, JJKH20170106KJ).
Qingyu Su received his B.Sc. degree in electrical automation in 2005, and his M.Sc. degree in control theory and application in 2008, both from Liaoning Technical University, China. He completed his Ph.D. degree in control theory and application in 2013 at Northeastern University, China. Now he is an Associate Professor at the School of Automation Engineering, Northeast Electric University, China. From October 2015 to October 2016, he was a visiting scholar at the Intelligent Systems and Biomedical Robotics Group (ISR), University of Portsmouth, UK. He has published 13 articles on SCI Journals and 8 papers on international conferences. His research interests include switched systems, nonlinear control systems and power systems.
Haichao Zhu received his B.Sc. degree in electrical engineering and automation in 2014 from Henan Polytechnic University, China. Now he is a master degree candidate at the School of Automation Engineering, Northeast Electric University, China. His research interests include switched systems and robust control.
Jian Li received her B.Sc. and M.Sc. degrees in electrical automation and control theory and application from the Liaoning Technical University, China in 2005 and 2008, respectively, and the Ph.D. degree in control theory and application from Northeast University, China in 2013. Currently, she is an Associate Professor in the School of Automation Engineering, Northeast Electric University, China. From July, 2015 to August, 2015, she was a visiting scholar at the Nonlinear Dynamics Group, Yeungnam University, South Korea. Her research interests include fault detection, robust control and micro-grid.
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Su, Q., Zhu, H. & Li, J. Static Output Feedback Stabilization of a Class of Switched Linear Systems with State Constraints. Int. J. Control Autom. Syst. 16, 505–511 (2018). https://doi.org/10.1007/s12555-016-0800-5
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DOI: https://doi.org/10.1007/s12555-016-0800-5