Premium
Finite‐time optimal control for interconnected nonlinear systems
Author(s) -
Li Yongming,
Yang Tingting,
Liu Lu,
Feng Gang,
Tong Shaocheng
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.4944
Subject(s) - integrator , backstepping , control theory (sociology) , nonlinear system , controller (irrigation) , stability (learning theory) , optimal control , computer science , mathematics , mathematical optimization , control (management) , adaptive control , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , computer network , bandwidth (computing)
Summary This work addresses the finite‐time optimal control problem for a class of interconnected nonlinear systems with powers of positive odd rational numbers. A series of homogeneous controllers, which are capable of guaranteeing the local finite‐time stability of the closed‐loop systems, are first developed using the adding one power integrator method and backstepping technique. Then, the nested saturation controllers are further proposed to achieve global finite‐time stability. Furthermore, the corresponding design parameters are optimized, and thus, an optimal controller is obtained. A numerical simulation example is finally given to illustrate the effectiveness of the proposed control strategy.