Finite-time output feedback control of uncertain switched systems via sliding mode design

ABSTRACT

The problem of sliding mode control (SMC) is investigated for a class of uncertain switched systems subject to unmeasurable state and assigned finite (possible short) time constraint. A key issue is how to ensure the finite-time boundedness (FTB) of system state during reaching phase and sliding motion phase. To this end, a state observer is constructed to estimate the unmeasured states. And then, a state estimate-based SMC law is designed such that the state trajectories can be driven onto the specified integral sliding surface during the assigned finite time interval. By means of partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are guaranteed and the sufficient conditions are derived via average dwell time technique. Finally, an illustrative example is given to illustrate the proposed method.

KEYWORDS:

• Switched systems
• finite-time boundedness
• unmeasured state
• sliding mode control
• average dwell time

Acknowledgments

This work was supported in part by the NNSF (61673174, 61773162) and the 111 Project (B17017) from China.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

NNSF [grant number 61673174], [grant number 61773162], & 111 project [grant number B17017].

Notes on contributors

Haijuan Zhao

Haijuan Zhao received her B.S. and M.S. degrees from Qufu Normal University, Rizhao, China, in 2013 and 2016, respectively. She is now pursuing her Ph.D. degree in School of Information Science and Engineering at East China University of Science and Technology, Shanghai, China. Her current research interests include switched systems, finite-time stability, and sliding mode control.

Yugang Niu

Yugang Niupresently working with School of Information Science & Engineering, ECUST as Professor and associate professor till 2006. His research Areas includes Sliding mode control, Markov jumping system, wireless sensor networks, microgrid.

Jun Song

Jun Song is now pursuing his Ph.D. degree in Control Science and Engineering at East China University of Science and Technology, Shanghai, China. His research interests including Markovian jump systems and optimal control, stochastic systems, finite-time stability, and sliding mode control.