Abstract
In this work, we establish a complete procedure for the output regulation problem with prescribed performance for a class of switched strict-feedback systems by employing barrier Lyapunov function and speed function method. Under the framework of output regulation control for general switched nonlinear systems, a switched regulator equation is constructed. Compared to the existing works which require the solvability of output regulation for each subsystem, the designed switched regulator equation based method need not each subsystem has a solution to the problem, which releases the conservatism. Moreover, the state feedback control scheme based on speed function technique and a new state dependent switching rule are constructed to achieve that the error output keeps in a prescribed performance bound in a given finite time and tracks a desired trajectory asymptotically. The effectiveness of the results is demonstrated by a simulation example.
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This work was supported by National Natural Science Foundation of China under Grant No. 61873219.
Haichao Zhu received his M.S. degree in control engineering from Northeast Electric University, China in 2018. Now he is currently pursuing a Ph.D. degree in control theory and control engineering from Xiamen University, Xiamen, China. His research interests include nonlinear control, switched systems, and output regulation.
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Zhu, H. Output Regulation with Prescribed Performance Control of Switched Strict-feedback Systems. Int. J. Control Autom. Syst. 21, 829–836 (2023). https://doi.org/10.1007/s12555-021-1066-0
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DOI: https://doi.org/10.1007/s12555-021-1066-0