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A novel act‐and‐wait control scheme for fixed‐time stabilization of input‐delay systems and assignment of the monodromy matrix
Author(s) -
Zhang Zhe,
Zhou Bin,
Michiels Wim,
Yang Xuefei
Publication year - 2021
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.5866
Subject(s) - controllability , scheme (mathematics) , control theory (sociology) , matrix (chemical analysis) , monodromy matrix , set (abstract data type) , dimension (graph theory) , constant (computer programming) , control (management) , computer science , controller (irrigation) , basis (linear algebra) , mathematics , signal (programming language) , eigenvalues and eigenvectors , mathematical analysis , materials science , physics , geometry , quantum mechanics , artificial intelligence , pure mathematics , agronomy , composite material , biology , programming language
An act‐and‐wait (AAW) fashioned control scheme is proposed for input delay systems, which is characterized by switches between different gains during the acting phases. Under very mild conditions, the novel control scheme allows to freely assign the monodromy matrix and to solve the fixed‐time stabilization problem. In additionally, a variant is proposed where the control law is simplified by keeping the control signal constant after every switch, amendable for a sampled‐data implementation. For multi‐input systems it is also demonstrated how the number of switches per acting period in the basis scheme can be reduced to the dimension of the system, starting from the controllability indices set. The effectiveness of the proposed methods is verified on two simulation case‐studies.