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Adaptive‐dynamic‐programming‐based fuzzy control for triangular structure nonlinear uncertain systems with unknown time delay
Author(s) -
Sui Shuai,
Tong Shaocheng,
Sun Kangkang
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2379
Subject(s) - backstepping , control theory (sociology) , nonlinear system , feed forward , fuzzy logic , computer science , bounded function , adaptive control , fuzzy control system , strict feedback form , dynamic programming , mathematics , mathematical optimization , control (management) , control engineering , engineering , artificial intelligence , physics , quantum mechanics , mathematical analysis
Summary This paper develops a novel fuzzy adaptive backstepping dynamic surface control scheme for a class of strict‐feedback nonlinear systems with unknown time delay based on adaptive dynamic programming. The whole control scheme is composed of 2 parts, ie, feedforward control and feedback optimal control. Fuzzy logic systems are used to identify nonlinear systems. The control design method, which combined the backstepping design technique and the dynamic surface control approach, is applied to convert triangular structure systems to affine nonlinear systems; it not only can solve the problem of “explosion of complexity” but also can avoid the appearance of unknown terms. The closed‐loop system is guaranteed to be uniformly ultimately bounded based on the Lyapunov and optimal control theory, and the system output can track the desired reference signal in an optimal manner. The simulation results of numerical examples are presented to show the effectiveness of the proposed approach.