Uniform Stabilization of Nonlinear Systems With Arbitrary Switchings and Dynamic Uncertainties

Pavlichkov, Svyatoslav; Pang, Chee Khiang

doi:10.1109/tac.2016.2604486

Cited by 31 publications

(77 citation statements)

References 41 publications

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“…Recently the more general result has been reported in [25] where the global uniform input-to-state stabilization of nonlinear switched systems with time-varying and periodic dynamics is present. The differences of our approach in comparison with [25] can be presented as follows. (i) In [25], an interconnected switched system without time delay has been considered.…”

Section: Remarkmentioning

confidence: 99%

“…The differences of our approach in comparison with [25] can be presented as follows. (i) In [25], an interconnected switched system without time delay has been considered. However, in interconnection (14), the input delay case is considered, and then the Pade approximation method is introduced to design the adaptive controller.…”

Section: Remarkmentioning

confidence: 99%

“…However, in interconnection (14), the input delay case is considered, and then the Pade approximation method is introduced to design the adaptive controller. (ii) Different from [25], for interconnection system (14), we consider the practical tracking control problem; that is, the desired adaptive controller makes the tracking error within a given accuracy which can be assigned according to the actual demand.…”

Section: Remarkmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive Control Design with Assigned Tracking Accuracy for a Class of Nonlinearly Parameterized Input‐Delayed Systems

Yao

2019

Mathematical Problems in Engineering

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This paper addresses the adaptive control problem of a class of nonlinear systems with unknown parameters and input delay, and the tracking accuracy of the controlled system is assigned a priori. The Pade approximation method is introduced to deal with the problem from the input delay. By creating a group of nonnegative functions, an appropriate controller is designed with the backstepping technology. It is shown that under the obtained controller, the boundedness of all the closed-loop signals is guaranteed, and the tracking error especially can converge to the accuracy assigned a priori. Finally, a simulation example is given to verify the effectiveness of the proposed scheme.

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Section: Remarkmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

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Adaptive Control Design with Assigned Tracking Accuracy for a Class of Nonlinearly Parameterized Input‐Delayed Systems

Yao

2019

Mathematical Problems in Engineering

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“…The main stability result of the proposed scheme is summarized in the following Theorem 11. (15), (29), the actual control law (43), and the adaptive laws (16), (17), (30), (31) Proof. In view of (23), (38), and (50), the time derivative of iṡ≤…”

Section: Stability Analysismentioning

confidence: 99%

“…The dynamic surface control (DSC) technique is designed to mitigate this problem by introducing a first-order low-pass filter at each step. The DSC technique has allowed scholars to construct approximation-based adaptive control schemes for many nonlinear strict-feedback and nonstrict-feedback systems [16][17][18][19][20][21]; however, these control schemes are all based on the assumption that the control gain functions must be bounded. To relax this restrictive hypothesis, two adaptive NNs control schemes were developed for strict-feedback and nonstrictfeedback systems by assuming that control gain functions are continuous and are bounded on a compact set [22,23].…”

Section: Introductionmentioning

confidence: 99%

Approximation‐Based Robust Adaptive Backstepping Prescribed Performance Control for a Huger Class of Nonlinear Systems

Wang

Zhang

2019

Mathematical Problems in Engineering

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This paper proposes an innovative adaptive neural prescribed performance control (PPC) scheme for large classes of nonlinear, nonstrict-feedback systems under input saturation constraint. A restrictive hypothesis under which the upper and lower bounds of control gain functions exist a priori is first relieved by constructing appropriate compact sets within which all state trajectories are held. A novel asymmetry error transformed variable is then introduced to cope with the nondifferentiable obstacle and complex deductions corresponding to traditional PPC schemes. To efficiently manage the input saturation constraint, a new auxiliary dynamic system with a bounded compensation tangent function term is established as the strictly bounded assumption of the dynamic system is canceled. It is rigorously proven that all signals in the closed-loop systems are semiglobally uniformly ultimately bounded under both Lyapunov and invariant set theories. The tracking errors converge to a small tunable residual set with prescribed performance under the effect of the input saturation constraint. The effectiveness of the proposed control scheme is thoroughly verified by two simulation examples.

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Adaptive saturation compensation for strict‐feedback systems with unknown control coefficient and input saturation

HuXin

Wei

ZhangHuifeng

et al. 2021

Adaptive Control & Signal

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Summary This work presents an adaptive saturation compensation scheme for the strict‐feedback uncertain systems with unknown control coefficient and input saturation. An adaptive saturation dynamic filter that does not require the a priori information of the completely unknown control coefficient is incorporated to correct position errors online to reduce the saturation effect. A Nussbaum‐type function is employed to handle the unknown control coefficient and avoid the control singularity. The adaptive command‐filtered backstepping is employed to derive the adaptive controller. The repeated differential operations of stabilizing functions required in the traditional backstepping are obviated due to command filters. It is analyzed that the designed adaptive controller achieves the system output tracking and the closed‐loop uniform ultimate stability. A simulation example is provided to validate the scheme.

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Uniform Stabilization of Nonlinear Systems With Arbitrary Switchings and Dynamic Uncertainties

Cited by 31 publications

References 41 publications

Adaptive Control Design with Assigned Tracking Accuracy for a Class of Nonlinearly Parameterized Input‐Delayed Systems

Adaptive Control Design with Assigned Tracking Accuracy for a Class of Nonlinearly Parameterized Input‐Delayed Systems

Approximation‐Based Robust Adaptive Backstepping Prescribed Performance Control for a Huger Class of Nonlinear Systems

Adaptive saturation compensation for strict‐feedback systems with unknown control coefficient and input saturation

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