Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form

By Dan Wang, Jie Huang. IEEE Transactions on Neural Networks, 2005

1,200 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/571921d119ed40df03ed551e965e790fea295fd9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shaocheng Tong
2. Mou Chen
3. Yanjun Liu
4. Shuzhi Sam Ge
5. Yong-ming Li
6. Yongduan Song
7. Kai Zhao
8. Hongyi Li

In Control and Systems Engineering

1. Shaocheng Tong
2. Yong-ming Li
3. Mou Chen
4. Hongyi Li
5. Peng Shi
6. Yanjun Liu
7. Shuzhi Sam Ge
8. Wei He

Citations in the corpus

• Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints (2011, methodology): “…technique for the uncertain MIMO nonlinear systems, and various robust adaptive control strategies have been proposed (Chang, 2000, 2001; Chang & Yen, 2005; Ge, 1998; Ge & Wang, 2004; Ge & Tee, 2007; Ge, Li, Zhang, & Lee, 2004; Ge, Zhang, & Lee, 2004; Lee & Lee, 2004; Zhang, Ge, & Lee, 2005).”
• Adaptive NN Backstepping Output-Feedback Control for Stochastic Nonlinear Strict-Feedback Systems With Time-Varying Delays (2010, background): “In this paper, an unknown smooth nonlinear function Ψ(y) : R→ R will be approximated on a compact set D by the following radial basis function NN [32], [33]:”
• Hybrid Fuzzy Adaptive Output Feedback Control Design for Uncertain MIMO Nonlinear Systems With Time-Varying Delays and Input Saturation (2016, methodology): “In addition, the DSC technique design in this paper uses two kinds of first-order filters instead of a first-order filter in [21]–[24].”
• Adaptive dynamic surface asymptotic tracking for a class of uncertain nonlinear systems (2018, neutral): “(24) Differentiating the boundary layer errors ei = si − αi yields ėi = − ei τi − M̂2 i ei √ M̂2 i e 2 i + σ2(t) − gizi + Bi(z1, · · · , zi+1, e1, · · · , ei, θ̂1, · · · , θ̂i+1, M̂1, · · · , M̂i, yr, ẏr, ÿr, σ(t), σ̇(t)), i = 1, · · · ,n − 1,”
• Adaptive Fuzzy Control via Observer Design for Uncertain Nonlinear Systems With Unmodeled Dynamics (2013, methodology): “Recently, the adaptive DSC technique was successfully applied to controlling nonlinear systems in the strict-feedback form with completely unknown functions using the RBF NNs [44].”
• Adaptive Dynamic Surface Control for Formations of Autonomous Surface Vehicles With Uncertain Dynamics (2013, methodology): “The proof is similar to [29] and is omitted here to save space.”
• Command filtered adaptive backstepping (2010, background): “The articles [15], [ 16 ] proposed control laws with”
• Dynamic Surface Control Using Neural Networks for a Class of Uncertain Nonlinear Systems With Input Saturation (2015, methodology): “Considering the continuous property, the function M 2 (.) has a maximum value B 2 for the given initial conditions in the compact set (cid:7) 0 × (cid:7) 2 [35].”
• Adaptive Fuzzy Backstepping Tracking Control for Strict-Feedback Systems With Input Delay (2017, methodology): “” To avoid such problem, dynamic surface control technique can be utilized in many results, for example, [39], [40] and references therein.”
• Observer-Based Adaptive Fuzzy Tracking Control for Strict-Feedback Nonlinear Systems With Unknown Control Gain Functions (2020, methodology): “…f i ( x i ) and g i ( x i ) (cid:2)= 0 are continuous functions and For system ( I ) , the authors in [1]–[3], [5], and [8] gave some typical adaptive fuzzy backstepping control design methods, while the authors in [4], [6], and [7] proposed several important adaptive NN backstepping controllers.”
• Removing the Feasibility Conditions Imposed on Tracking Control Designs for State-Constrained Strict-Feedback Systems (2019, methodology): “This DSC method was extended to various kinds of nonlinear (or linear) systems for dealing with the problem of “explosion of complexity” [34], [35], [39], [40].”
• Observer-Based Adaptive Backstepping Consensus Tracking Control for High-Order Nonlinear Semi-Strict-Feedback Multiagent Systems (2016, background): “Assumption 1 [28], [39]: The leader’s dynamic, yr(t), is a sufficiently smooth function of time variable t, and yr, ẏr are bounded, i.”