Global adaptive finite-time control for uncertain nonlinear systems with actuator faults and unknown control directions

Ma, Jiali; Park, Ju H.; Xu, Shengyuan

doi:10.1007/s11071-019-05146-8

Cited by 32 publications

(26 citation statements)

References 38 publications

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“…Proof: As shown in [8], [9], for any fixed k and s, the solution of the closed-loop system exists until the state escapes to the infinity or time t tends to infinity. Define the maximum internal of the solution as [0, t m ).…”

Section: Stability Analysismentioning

confidence: 98%

Command-Filter-Based Finite-Time Adaptive Control for Nonlinear Systems With Quantized Input

Park

2021

IEEE Trans. Automat. Contr.

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This paper considers the finite-time adaptive control problem of nonlinear systems with the quantized input signal. Compared with existing results, the quantized parameters are unknown and the bound of the disturbance is not required. By utilizing the command filter backstepping method, an adaptive switching-type controller is designed and a novel switching mechanism is also proposed. By regulating the controller parameters online, practical finite-time stability can be guaranteed for the closed-loop system. Finally, a simulation example is given to illustrate the effectiveness of the proposed method. Index Terms-Finite-time control, nonlinear systems, quantized input, command filter.

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Section: Stability Analysismentioning

confidence: 98%

Command-Filter-Based Finite-Time Adaptive Control for Nonlinear Systems With Quantized Input

Park

2021

IEEE Trans. Automat. Contr.

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“…, n are satisfied. If control input is designed as (27), adaptive law is given as (28) and the switching mechanism is presented as (41), (43) and (45), then the following properties hold:…”

Section: Resultsmentioning

confidence: 99%

“…While for systems with unknown control signs, switching of control parameters are implemented to approximate the correct directions based on a switching logic and once reached, stability is achieved. The switching rule is essential in the construction of switching adaptive controller and recent studies using the upper bound of integral-type Lyapunov function [27], Lyapunov functions [28]- [30] to construct the switching criteria. Specifically, Lyapunov-based logic switching rule was developed in [29] to tune the control directions and finite-time stability of the closed-loop system with multiple unknown control directions was guaranteed.…”

Section: Introductionmentioning

confidence: 99%

Performance-Guaranteed Switching Adaptive Control for Nonlinear Systems With Multiple Unknown Control Directions

et al. 2020

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In this paper, an adaptive control strategy with novel performance-guaranteed switching mechanism is proposed for a class of nonlinear parametric strict-feedback systems with unknown parameters and multiple unknown control directions. Firstly, adaptive controller is designed by combining tuning function design and barrier Lyapunov function (BLF) techniques, to handle parameter uncertainties and avoid over-parametrization phenomenon. The unknown control directions are estimated online with the proposed novel switching criterion composed of a BLF-type monitoring function and a threshold function. It is shown that the correct directions can be identified rapidly with only finite times of switching and mis-switching problem is avoided. At switching moments, a novel reset mechanism is triggered to adjust the value of integrator to avoid failure of BLF method. Consequently, tracking error of reference signal converges to zero asymptotically and all closed-loop signals are proved to be bounded. In addition, the tracking errors can be restricted into prescribed intervals without information of control directions. Numerical results demonstrate the effectiveness and performance of the proposed method. INDEX TERMS Adaptive control, barrier Lyapunov function, switching controller, unknown control directions.

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“…On the other hand, from the perspective of time optimization, the control method of the closed‐loop system in finite time is the time‐optimal control algorithm. Compared with the non‐finite time closed‐loop control system, the research shows that the finite‐time controller has a fractional power term, 23,24 so that the closed‐loop control system has better robust performance and anti‐disturbance performance 25‐27 . Therefore, the study of the finite‐time control technology has important practical and theoretical significance.…”

Section: Introductionmentioning

confidence: 99%

Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

Jia

LuJunwei

LiYongmin

2021

Adaptive Control & Signal

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This article studies the finite‐time output regulation problem for nonlinear strict‐feedback systems with completely unknown control directions and unknown functions. First, according to the necessary conditions for the solvability of the output regulation problem, the output regulation problem of nonlinear strict‐feedback systems and the external system is transformed into a stabilization problem of nonlinear systems. Second, an internal model with external signals is designed. Third, based on finite time, fuzzy control, output feedback control, and Nussbaum gain functions, the control law is designed so that all signals of the closed‐loop system are the semi‐global practically finite‐time stable (SGPFS), and the tracking error converges to a small neighborhood of the origin in a finite‐time. Finally, the proposed algorithm is applied to the finite‐time tracking problem of Chua's oscillator system.

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Global adaptive finite-time control for uncertain nonlinear systems with actuator faults and unknown control directions

Cited by 32 publications

References 38 publications

Command-Filter-Based Finite-Time Adaptive Control for Nonlinear Systems With Quantized Input

Command-Filter-Based Finite-Time Adaptive Control for Nonlinear Systems With Quantized Input

Performance-Guaranteed Switching Adaptive Control for Nonlinear Systems With Multiple Unknown Control Directions

Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

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