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Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances
Author(s) -
Yang Wu,
Wang YanWu,
Morˇrescu IrinelConstantin,
Liu ZhiWei,
Huang Yuehua
Publication year - 2020
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.4990
Subject(s) - control theory (sociology) , upper and lower bounds , actuator , singular perturbation , linear matrix inequality , convex optimization , lyapunov stability , context (archaeology) , exponential stability , convex combination , mathematics , lyapunov function , perturbation (astronomy) , computer science , regular polygon , mathematical optimization , control (management) , nonlinear system , mathematical analysis , physics , paleontology , geometry , quantum mechanics , artificial intelligence , biology
Summary The article proposes several fault‐tolerant control (FTC) laws for singularly perturbed systems (SPS) with actuator faults and disturbances. One of the main challenges in this context is that the fast‐slow decomposition is not available for actuator faults and disturbances. In view of this, some conditions for the asymptotic stability of the closed‐loop dynamics are investigated by amending the composite Lyapunov approach. On top of this, a closed‐form expression of the upper bound of singular perturbation parameter (SPP) is provided. Moreover, we design several SPP‐independent composite FTC laws, which can be applied when this parameter is unknown. Finally, the chattering phenomenon is eliminated by using the continuous approximation technique. We also emphasize that, for linear SPSs, the FTC design can be formulated as a set of linear matrix inequalities, while the SPP upper bound can be obtained by solving a convex optimization problem. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.