Prescribed performance fixed-time tracking control for a class of second-order nonlinear systems with disturbances and actuator saturation

Zhou, Zhi‐Gang; Zhou, Di; Shi, Xiao‐Ning; Li, Ruifeng; Kan, Bao-Qiang

doi:10.1080/00207179.2019.1590644

Cited by 35 publications

(32 citation statements)

References 35 publications

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“…Remark 5: When e i1 and e i2 converge to zero after finite time t i , (25) becomes ė i1 = e i2 = 0 e i2 =ḋ i (49) With the first formula of (49) and (23), we can make a conclusion that the observation errors of d i will also converge to zero. As for the second formula of (49), the following inequality holds…”

Section: B Stability Analyzation For Sstdobmentioning

confidence: 99%

“…The block diagram of this composite controller is shown in Figure 2. Before the controller designing, some lemmas and assumptions are given as follows Lemma 1 [37], [47], [49]: Consider a scalar system is expressed as folloẇ where a > 0, b > 0, α > 1, 0 < β < 1. System (51) has globally fixed-time stability with convergence time T bounded by…”

Section: Sstdob Based Fsmbc For Ahv Systemmentioning

confidence: 99%

“…Remark 7: Inspired by Zhou et al [49], we introduce this switching logic in F 1 (s 1 ) to avoid the singularity problem inẋ 2d . When |s 1 | ≥ ε 1 calculating the derivative of x 2d yields the termḞ 1 (s 1 ) = β 1 |s 1 | β 1 −1ṡ…”

Section: A Sstdob-fsmbc Design For Altitude Subsystemmentioning

confidence: 99%

See 2 more Smart Citations

Super Twisting Disturbance Observer-Based Fixed-Time Sliding Mode Backstepping Control for Air-Breathing Hypersonic Vehicle

Liu

et al. 2020

IEEE Access

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This paper investigates the velocity and altitude tracking control problem for air-breathing hypersonic vehicle (AHV) under external disturbances and uncertainties. An improved smooth supertwisting based disturbance observer (SSTDOB) is proposed to estimate the unknown external disturbances. With the assistance of SSTDOB, an effective fixed-time sliding mode backstepping control (FSMBC) is designed to guarantee the tracking errors converge to a small neighbor of the origin. Meanwhile, a fixedtime tracking differentiator (FTD) is employed to estimate the virtual control inputs, which can eliminate the differential explosion problem. The overall stability of the closed-loop system is analyzed by utilizing Lyapunov stability theory. Simulation results demonstrate the effectiveness of the composite method. INDEX TERMS Air-breathing hypersonic vehicle, backstepping control, disturbance observer, fixed-time sliding mode control, super twisting algorithm. A. SIMULATION ANALYSIS OF SSTDOB-FSMBC WITHOUT AERODYNAMIC UNCERTAINTIES

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Section: B Stability Analyzation For Sstdobmentioning

confidence: 99%

Section: Sstdob Based Fsmbc For Ahv Systemmentioning

confidence: 99%

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Super Twisting Disturbance Observer-Based Fixed-Time Sliding Mode Backstepping Control for Air-Breathing Hypersonic Vehicle

Liu

et al. 2020

IEEE Access

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“…Remark 6. By introducing switching function ( 31) [45], the potential singularity that appeared in the derivative of term sig(s 2 ) β will get avoided. For the case |s…”

Section: Finite Time Integral Siding Mode Controlmentioning

confidence: 99%

Fixed‐Time Disturbance Observer‐Based Adaptive Finite‐Time Guidance Law Design considering Impact Angle Constraint and Autopilot Dynamics

Yang

et al. 2021

Complexity

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This paper aims to establish an effective guidance law to accomplish the interception guidance mission for a missile intercepting a target with impact angle constraint and autopilot dynamics. To achieve this purpose, a fixed-time disturbance observer-based adaptive finite-time guidance law is presented. First, a fixed-time disturbance observer (FTDO) is designed to guarantee the fast estimation of the lumped disturbance caused by the target maneuver. Then, the FTDO-based adaptive integral sliding mode backstepping (AISMB) guidance law is constructed for the interception guidance problem. Besides, several adaptive laws are established to estimate the derivative of virtual control inputs, making the “differential explosion problem” of conventional backstepping get avoided. The finite-time convergence characteristic of the closed-loop system is analyzed by utilizing the Lyapunov stability theory. Finally, the simulation examples are conducted to demonstrate the effectiveness of the proposed composite guidance law.

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“…This can also be accomplished by the existing ETC polices [21]- [29], with yet the broadcast of the sampled control signal. In our protocol, only the 1-bit command signal in (17) [38]. Nonetheless, it is also seen from (10)- (12) that the serial communication between the sensor and controller is imposed, as the control algorithm requires real-time state feedback.…”

Section: B Event-triggered Binary Communication Protocolmentioning

confidence: 99%

Finite-Time Tracking Control With Prescribed Accuracy for Unknown Nonlinear Systems by Event-Triggered Input

Ding

Zhang

2020

IEEE Access

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This paper is dealt with the tracking control problem for strict-feedback systems with unknown nonlinearities and unmatched disturbances as well as event-triggered input. A robust control scheme together with an event-triggered update protocol is proposed to solve the problem, which outperforms the existing solutions in the following aspects. First, it guarantees that the tracking error converges to a given bound in a prescribed finite time, unlike the results on exponential convergence with unknown accuracy. Second, for control implementation, only a sequence of binary command signals needs to be sent to the actuator. This further economizes the communication cost in comparison with the conventional event-triggered control protocols. Third, our controller exhibits a simplicity attribute, due to the avoidance of using approximating structures and estimating algorithms and to calculating or filtering certain signal derivatives. The above theoretical findings are illustrated via a comparative simulation study. INDEX TERMS Tracking control, finite-time convergence, predefined accuracy, nonlinear systems, event-triggered communication.

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Prescribed performance fixed-time tracking control for a class of second-order nonlinear systems with disturbances and actuator saturation

Cited by 35 publications

References 35 publications

Super Twisting Disturbance Observer-Based Fixed-Time Sliding Mode Backstepping Control for Air-Breathing Hypersonic Vehicle

Super Twisting Disturbance Observer-Based Fixed-Time Sliding Mode Backstepping Control for Air-Breathing Hypersonic Vehicle

Fixed‐Time Disturbance Observer‐Based Adaptive Finite‐Time Guidance Law Design considering Impact Angle Constraint and Autopilot Dynamics

Finite-Time Tracking Control With Prescribed Accuracy for Unknown Nonlinear Systems by Event-Triggered Input

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