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Finite‐time H ∞ bumpless transfer control for switched systems: A state‐dependent switching approach
Author(s) -
Yang Dong,
Huang Chunxiao,
Zong Guangdeng
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4825
Subject(s) - control theory (sociology) , lyapunov function , state (computer science) , limit (mathematics) , transfer function , controller (irrigation) , control (management) , transfer (computing) , engineering , computer science , mathematics , nonlinear system , physics , algorithm , mathematical analysis , agronomy , quantum mechanics , artificial intelligence , parallel computing , electrical engineering , biology
Summary This paper addresses the finite‐time H ∞ bumpless transfer control problem for switched systems. The main idea lies in designing a state‐feedback controller with amplitude limitation and a state‐dependent switching law to reduce control bumps caused by switching. First, a local bumpless transfer condition is proposed to limit the amplitude of switching controllers at switching points. Second, by introducing a state‐dependent switching law, a prescribed finite‐time H ∞ bumpless transfer control performance is attained even if it does not hold for each subsystem or system state remaining on a switching surface. Third, a sufficient condition verifying the solvability of finite‐time H ∞ bumpless transfer control problem is established by resorting to multiple Lyapunov function method. Finally, the effectiveness of developed method is illustrated by a numerical example.