Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems

By Yanjun Liu, Shaocheng Tong. at - Automatisierungstechnik, 2017

786 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/2b049f2f0ed12495afd6a61c08f1c7ece22ab437

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In Control and Systems Engineering

1. Wei He
2. Shaocheng Tong
3. Yanjun Liu
4. Changyin Sun
5. Yiting Dong
6. Kai Zhao
7. Yongduan Song
8. Xu Jin

Citations in the corpus

• Iterative Learning Control for a Flapping Wing Micro Aerial Vehicle Under Distributed Disturbances (2019, neutral): “Tracking control has been addressed by many control methodologies [11]–[15], as well as nonlinear inputs and outputs [16].”
• Prescribed Performance Control of Uncertain Euler–Lagrange Systems Subject to Full-State Constraints (2018, neutral): “[16], [19], [22], [26]–[28].”
• Prescribed Performance Cooperative Control for Multiagent Systems With Input Quantization (2020, background): “Definition 1 [46]: If any continuous even function N (χ) satisfies the following properties: Many functions can be regarded as the Nussbaum-type functions, such as exp (χ 2 ) cos ( [ π/ 2] χ) and χ 2 cos (χ) .”
• Adaptive Neural Network Control of a Flapping Wing Micro Aerial Vehicle With Disturbance Observer (2017, methodology): “Furthermore, it has been veri-fied that the NN method is good at dealing with nonlinear systems and has excellent approximation effects [33], [34].”
• Adaptive Neural Network Control of a Robotic Manipulator With Time-Varying Output Constraints (2017, methodology): “An adaptive control scheme based on NNs is designed for full state constrained nonlinear systems in [40].”
• Adaptive Fuzzy Neural Network Control for a Constrained Robot Using Impedance Learning (2018, result): “To compensate for the effect of constraints, existing research results have demonstrated that the barrier Lyapunov function (BLF) can guarantee the constraints satisfaction [49].”
• Adaptive Fixed-Time Control for MIMO Nonlinear Systems With Asymmetric Output Constraints Using Universal Barrier Functions (2019, background): “Remark 4: In the literature, the following form of asymmetric BLF is commonly used [23]–[25], [39]:”
• Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems (2017, background): “However, the precise model of system nonlinearities is difficult to be obtained in practice because system uncertainties such parameter variations, modeling errors, and/or external disturbances always exist in nonlinear systems [26]–[34].”
• Adaptive Fuzzy Control for Nontriangular Structural Stochastic Switched Nonlinear Systems With Full State Constraints (2019, methodology): “Although the existing works in [16]–[18] also studied the full state constraints issue, they cannot be applied to stochastic switched nonlinear systems.”
• Removing the Feasibility Conditions Imposed on Tracking Control Designs for State-Constrained Strict-Feedback Systems (2019, methodology): “Remark 2: The novelty of the nonlinear transformation as given in (3) is twofold: 1) it provides an explicit (direct) way to deal with the full-state constraints, preventing the conservative step of converting original state constraints into new bounds on tracking errors [6], [9], [12], [13], [15], ”
• Neural Networks-Based Adaptive Finite-Time Fault-Tolerant Control for a Class of Strict-Feedback Switched Nonlinear Systems (2019, methodology): “The parameter uncertainties are handled by the adaptive techniques [37], [46].”