Observer-based adaptive backstepping control for fractional order systems with input saturation

Sheng, Dian; Wei, Yiheng; Cheng, Songsong; Wang, Yong

doi:10.1016/j.isatra.2017.06.021

Cited by 63 publications

(45 citation statements)

References 33 publications

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“…Besides, a number of simulations have been conducted setting b 0 0, b 1 0 and 1 < α ≤ 2. It is found that when α ∈ (1, 1.7), the trajectory of y(k) has no overshoot if b 0 and b 1 are chosen such that b 1 /b 0 ∈ [1,9]. Several questions then arise.…”

Section: Simulation Studymentioning

confidence: 99%

Lyapunov functions for nabla discrete fractional order systems

et al. 2019

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This paper investigates the time-domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the discrete Mittag-Leffler function. In particular, we establish two fundamental properties of a nabla discrete fractional order system with nonzero initial instant: i) the existence and uniqueness of the system time-domain response; and ii) the dynamic behavior of the zero input response. Finally, one numerical example is provided to show the validity of the theoretical results.

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Section: Simulation Studymentioning

confidence: 99%

Lyapunov functions for nabla discrete fractional order systems

et al. 2019

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“…It can describe some systems more accurately than the traditional integer order method and has been widely applied in fields in engineering and physics, such as system biology, physics, chemistry, automatic control, materials science, engineering, etc. More and more fractional order systems have been studied, especially in tracking control performance and stability analysis . Y. Wei et al propose a variety of methods for the stabilization of fractional order systems .…”

Section: Introductionmentioning

confidence: 99%

“…More and more fractional order systems have been studied, especially in tracking control performance and stability analysis . Y. Wei et al propose a variety of methods for the stabilization of fractional order systems . Sufficient and necessary conditions for stabilizing singular fractional order systems are given in Reference .…”

Section: Introductionmentioning

confidence: 99%

Adaptive fault tolerant control for a class of uncertain fractional‐order systems based on disturbance observer

Hou

Wang

2020

Intl J Robust & Nonlinear

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In this paper, a class of fractional-order nonlinear systems are considered in the presence of actuator faults. A novel fault tolerant control scheme based on disturbance observer has been presented, where the actuator faults are considered as the system disturbance and can be approximated by the proposed disturbance observer. The developed fault tolerant control guarantees the convergence of the closed-loop system and the output tracking performance. Finally, a simulation example is presented to verify the effectiveness of the new method. K E Y W O R D Sadaptive control, disturbance observer, fault tolerant control, fractional-order system INTRODUCTIONSince actuator fault is inevitable in modern control systems, which may degrade system performance, or even lead to system instability, compensation of actuator faults has significant impact on some critical physical systems. Adaptive fault tolerant control (FTC) has been shown as a desirable tool to this problem and remarkable progress have been made in the area. 1-8 Guang-Hong Yang proposes an adaptive output feedback control to deal with unknown nonaffine nonlinear faults for a class of nonlinear systems. 1 Salman Ijaz studies an active fault tolerant control (FTC) scheme for aircraft with dissimilar redundant actuation system in Reference 2. In Reference 3, fault-tolerant tracking control problem for a class of strict-feedback nonlinear systems subjected to actuator faults and external disturbances is investigated. Due to the global approximation performance of fuzzy logic system and neural networks, the authors in References 4-9 successfully solved the problem by introducing adaptive fuzzy logic control or adaptive neural networks control. Over the past decades, fractional-order systems 10,11 have attracted considerable attention due to the ability of describing long memory and hereditary characteristic of complex phenomenon in some practical systems. It can describe some systems more accurately than the traditional integer order method and has been widely applied in fields in engineering and physics, such as system biology, physics, chemistry, automatic control, materials science, engineering, etc. More and more fractional order systems have been studied, especially in tracking control performance and stability analysis. 12-18 Y. Wei et al. propose a variety of methods for the stabilization of fractional order systems. 12,14,15 Sufficient and necessary conditions for stabilizing singular fractional order systems are given in Reference 16. For a class of continuous-time fractional positive systems, stabilization control is addressed based on disturbance observer in Reference 17. The Lyapunov stability theory is extended to fractional-order nonlinear systems in References 13 and 18 and, where the concept of Lyapunov stability is defined and Lyapunov design method is proposed. As we all know, actuator or sensor faults may also occur in fractional-order systems due to poor working conditions, mechanical fatigue, and other factors. Consequently, how to detect and ...

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“…The and parameters represent, respectively, the fractional-order of integral or derivative part of the PI D controller (in particular case, the integer-order PID controller). In recent years, the analysis of fractional-order controllers has attracted an increasing attention, especially in the fields of stability [2,[4][5][6][7][8][9][10], also for nonlinear systems [11,12], and tracking performance [13]. However, the field of anti-windup compensation in combination with fractional-order controllers is thoroughly not analyzed.…”

Section: Introductionmentioning

confidence: 99%

Dynamic anti‐windup compensator for fractional‐order system with time‐delay

Sadalla

Horla

Giernacki

et al. 2019

Asian Journal of Control

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This paper describes the results of introducing an additional dynamic element to an anti‐windup compensator from control quality and stability area anslysis viewpoint. The analyzed system consists of a first‐order plant with time delay and a fractional‐order PI controller, to present the discussed approach. The controller is tuned based on Hermite‐Biehler and Pontryagin theorems. In the paper, the stability analysis and tracking performance are presented based on both simulation and experimental results. The experiments have been performed using Inteco Modular Servo System with performance evaluated on the basis of the selected performance criterion, namely the Integral of Absolute Error, to verify the applicability of the proposed method. The results have proven that use of the additional dynamic element provides a wider range of controller parameters to ensure stability of the closed‐loop system and better tracking performance in comparison to the system without anti‐windup compensation or system with a standard anti‐windup compensator. It is actually the first time that this type of analysis for dynamic element compensation in anti‐windup framework has been presented for fractional‐order systems. In addition, all the obtained results are referred to the experimental data.

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Observer-based adaptive backstepping control for fractional order systems with input saturation

Cited by 63 publications

References 33 publications

Lyapunov functions for nabla discrete fractional order systems

Lyapunov functions for nabla discrete fractional order systems

Adaptive fault tolerant control for a class of uncertain fractional‐order systems based on disturbance observer

Dynamic anti‐windup compensator for fractional‐order system with time‐delay

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