Fast finite-time adaptive stabilization of high-order uncertain nonlinear system with an asymmetric output constraint

Sun, Zong Yao; Peng, Yanru; Chen, Wen; Chen, Chih Chiang

doi:10.1016/j.automatica.2020.109170

Cited by 59 publications

(40 citation statements)

References 37 publications

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“…The parameter δ is a positive value satisfying that 0 < δ 1. It is noted that the function µ 1 (t, T ) meets that µ 1 (0, T ) = 1 (T +δ) γ , and when t = T , µ 1 (t, T ) = 1/δ γ with an integer γ greater than 1, which guarantees the continuity of the switching function (7). The function µ 1 (t, T ) is a positive non-decreasing function and is continuous everywhere.…”

Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 91%

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Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Yang

Zhang

et al. 2021

IEEE Access

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This paper studies the prescribed finite time stabilization control problem of multi-input linear control systems subject to uncertainties and state constraints. Different from finite-time and fixedtime control methods, a novel switching nonsingular coordinate transformation function based on the block decomposition technique is developed, resulting in a solution that the control action is continuous and bounded based on the transformed system. Moreover, the boundedness of closed-loop system states is ensured with prescribed finite time performance. Furthermore, we incorporate the barrier Lyapunov function into the stabilization control design to restrain the amplitudes of system states. Numerical examples are provided to verify the effectiveness of the proposed prescribed finite time control strategy.

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Section: A Coordinate Transformation and Inverse Coordinate Transformentioning

confidence: 91%

“…The finite-time and fixed-time stability is widely considered since the attribute of owing a specified time. The finite-time stability for second-order and high-order systems are respectively considered in [6] and [7]. The finite-time stabilization and optimal feedback control for the nonlinear dynamical system are investigated in [8].…”

Section: Introductionmentioning

confidence: 99%

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Yang

Zhang

et al. 2021

IEEE Access

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“…Otherwise, it will cause performance degradation and system damage. A lot of methods had been investigated to solve this issue, including set invariance notions [31], reference governors [32], model predictive control [33], nevertheless, after the barrier Lyapunov function (BLF) method has been designed, the most commonly used methods to solve the constraint problem is the design based on BLF, such as some conventional BLF [34]- [39], and some novel BLF [40]- [42]. While there are some deficiencies in BLF-based design, the redesign as the Lyapunov function changes, the structure of complex controller, the selection interval of initial value, etc.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Practical Fast Finite-Time Consensus Protocols for High-Order Nonlinear Multi-Agent Systems With Full State Constraints

Shang

Cai

2021

IEEE Access

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This paper mainly addresses the issue of fast finite-time consensus (FTC) algorithms for a group of high-order uncertain nonlinear non-strict-feedback Multi-agent Systems (MASs) with time-varying asymmetric full state constraints. In order to guarantee the state constraints are satisfied, an appropriate asymmetric nonlinear mapping (NM) is employed to transform the original full state constrained system into a corresponding unconstrained one. Combining neural networks technology, graph theory, fast finitetime control theory and backstepping recursive design scheme, the uncertainties and non-strict-feedback form are considered to propose a distributed adaptive FTC protocol which can guarantee tracking error reaching a region in finite time. Finally, an example is given to show that the designed control law can perform effective control.INDEX TERMS multi-agent systems, fast finite-time control, non-strict-feedback structure, time-varying asymmetric state constraints.

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“…In addition, many researchers are committed to applying FTC methods to practical systems, for example aerospace aircrafts, 7 underactuated mechanical systems, 8 power equipments, 9 unmanned autonomous helicopters, 10 etc. In practice, since finite‐time stability 11 exhibits some appealing features such as higher accuracies, better robustness as well as faster convergence, 12‐14 the attention of recent research on the FTC scheme has moved to the finite‐time control issue. For a group of underactuated autonomous surface vessels, Xu 15 proposes an appropriate fault tolerant finite‐time leader–follower formation control strategy.…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered adaptive fixed‐time output feedback fault tolerant control for perturbed planar nonlinear systems

Zhu

Zhang

Xin

et al. 2021

Intl J Robust & Nonlinear

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This paper considers an event‐triggered adaptive fixed‐time output feedback fault tolerant control problem for a class of uncertain planar nonlinear systems, in which the actuator has an unknown drift fault and the loss of effectiveness fault. Firstly, by using the adaptive backstepping technique and event‐triggered theory, a constructive event‐triggered adaptive fixed‐time state feedback controller is presented under a generalized Lipschitz continuous condition. Secondly, for the unmeasured state, a continuous fixed‐time observer is constructed. It is shown that the global practically fixed‐time stability of the closed‐loop systems is ensured by the bilimit homogeneity technique and Lyapunov theory analysis. Moreover, the system is demonstrated by contradiction to be nonzeno. Finally, the fan speed control system is constructed to demonstrate the validity of the proposed strategy and the application of the general systems.

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Fast finite-time adaptive stabilization of high-order uncertain nonlinear system with an asymmetric output constraint

Cited by 59 publications

References 37 publications

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Prescribed Finite Time Stabilization of Linear Systems With State Constraints

Adaptive Practical Fast Finite-Time Consensus Protocols for High-Order Nonlinear Multi-Agent Systems With Full State Constraints

Event‐triggered adaptive fixed‐time output feedback fault tolerant control for perturbed planar nonlinear systems

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