Robust adaptive tracking for time-varying uncertain nonlinear systems with unknown control coefficients

By Shuzhi Sam Ge, Jing Wang. IEEE Transactions on Automatic Control, 2003

503 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/099c435cd5fede58e2be3bef7439d41ba1f5746f

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Prescribed Performance Control of Uncertain Euler–Lagrange Systems Subject to Full-State Constraints (2018, unknown): “A function, N(χ), is called a Nussbaum-type function if it has the following properties [7]:”
Adaptive Neural Output Feedback Control of Uncertain Nonlinear Systems With Unknown Hysteresis Using Disturbance Observer (2015, background): “To deal with system uncertainties, neural networks (NNs) and fuzzy logic systems can be employed to compensate for the system uncertainty of the nonlinear system [42]–[48].”
Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints (2011, background): “…of nonlinear systems has received much attention for establishing the globally asymptotical stability of the closed-loop system (Ge, 1996a,b; Ge & Wang, 2003; Hung, Tuan, Narikiyo, & Apkarian, 2008; Krstić & Kokotović, 1995; Luo, Chu, & Ling, 2005; Makoudi & Radouane, 2000; Mirkin & Gutman,…”
Robust adaptive control for a class of uncertain strict‐feedback nonlinear systems (2009, methodology): “In [16, 17], the exponentially decaying terms have been introduced in the controller design to handle the disturbances.”
Prescribed performance adaptive control of SISO feedback linearizable systems with disturbances (2008, methodology): “Adaptive control designs for nonlinear systems utilizing Nussbaum-type gains were developed in [5], [11]– [14].”
Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization (2020, background): “…V ( t ) ≥ 0, smooth function χ( t ) deﬁned on [0 , t f ], and smooth Nussbaum-type function d τ holds, where c 1 and c 2 are the positive constants, and V ( t ) , χ( t ) , and (cid:10) Proof: It should be mentioned that for a special case where H = 1, this conclusion has already been shown in [47].”