Robust control for a class of time-delay uncertain nonlinear systems based on sliding mode observer

Jiang, Bin; Jiang, Changsheng; Wu, Qingxian

doi:10.1007/s00521-010-0365-9

Cited by 12 publications

(3 citation statements)

References 21 publications

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“…So, in this paper, we use outputfeedback control technique to consider disturbance rejection problem. 2) Neural network approach and SMC method [34], [35] require that the exogenous disturbance is bounded with a known upper bound. However, EID-based method does not require a prior information about exogenous disturbances.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…The major contributions of the dissertation include: 1) Compared with the existing literature about EID, taking the cost of implementation control into account,we uses outputfeedback control means in this paper; 2) Compared with previous control methods (such as SMC-based robust control method [32], [33], Neural network approach [34], [35], and H ∞ control method [36]), the EID-based control method does not need to know any prior information of disturbance and can reduces the conservatism of the system; 3) The parameters of the controller can be easy to designed by using SVD method instead of using a conservative method in [37]. And the configuration of uncertain singular control system is simple in this paper.…”

Section: Introductionmentioning

confidence: 99%

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Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

2020

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A robust disturbance-rejection problem for an uncertain singular system is considered in this paper. An equivalent-input-disturbance (EID) method is applied to improve disturbance-rejection performance. At first, the disturbance estimation is obtained by the EID method; Then, the disturbance estimation is compensation to the control input channel to offset the adverse effect of external disturbance and uncertainties on the system. Two sufficient and necessary conditions using linear matrix inequality are obtained, which can guarantee the admissibility (regularity, non-impulsiveness, and stability) for the closed-loop control system. In addition, output-feedback control laws (static, dynamic) and observer gain are obtained using the singular value decomposition method. A numerical example and simulation studies prove the validity and feasibility of the presented method. INDEX TERMS linear matrix inequality; uncertain singular system; equivalent input disturbance (EID); output-feedback control laws.

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Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

2020

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“…A conventional control strategy is that a state observer is designed before constructing the controller. Based on the sliding mode state observer, a robust control scheme was studied for a class of time-delay uncertain nonlinear systems with unknown input in the work of Chen et al 25 Under the situations of unknown hysteresis, external disturbances, and unmeasured states, in the work of Chen and Ge, 26 the adaptive neural output feedback control issue is studied for uncertain nonlinear systems. For the helicopter system, the unmeasured states are very common in the practical flight process.…”

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confidence: 99%

Model reference resilient control for the helicopter with time‐varying disturbance

2019

Intl J Robust & Nonlinear

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In this paper, the problem of model reference resilient control is investigated for the helicopter system with the time-varying disturbance and unmeasurable states. Firstly, a disturbance observer and a state observer are built to estimate the time-varying disturbance and unmeasurable states. Then, combining the methods of model reference control and disturbance observer-based control, the state feedback robust resilient control scheme and the dynamic output feedback robust resilient control method are proposed, respectively. Under the two developed robust resilient control schemes, sufficient conditions are obtained to guarantee that the helicopter system asymptotically tracks the reference model with H ∞ performance. Finally, simulation results are presented to show the effectiveness of the model reference resilient control method. KEYWORDSdisturbance observer, dynamic output feedback control, helicopter, model reference control, resilient control, state observer INTRODUCTIONAs a very common aircraft, the helicopter has been used in many fields, such as transportation industry, communication, and local war. Different with other aircrafts, helicopters could be used in many special occasions for their unique capability, for example, first aid at sea, forest fire rescue, and commercial transportation in badly traffic place, because they can land or take off in a small limited space for example, in the work of Johnson. 1 Hence, the study of the helicopter control systems is very meaningful. Many books about helicopter control systems have been published, such as the works of Yang 2 and Mettler. 3 With the development of the helicopter, more and more results focus on the helicopter control system technique, and many excellent control methods have been used in helicopter control systems design in the works of Gadewadikar et al 4 and Mahony and Hamel. 5 Using the disturbance observer-based backstepping method, in the work of Lu et al, 6 a flight controller was designed for the small-scale helicopter. In the work of He and Han, 7 the method of feedback linearization was investigated for an unmanned helicopter model. So far, a number of results for the advanced control theory have been applied in many fields of helicopters. Meanwhile, the robustness and antidisturbance ability of the control system attract more and more attention from specialist of cybernetics.In many practical engineering applications, the systems often suffer from various disturbances and perturbations, for example, the system parameter uncertainty and the variation of external environment. Due to these disturbances, many excellent performances of control systems are always damaged, or even appear to instability. Hence, enhancing the antidisturbance ability of the closed-loop system is critical for designed controller. Many efficacious antidisturbance methods have been used to deal with the disturbances appearing in practical systems, such as the adaptive control, 8,9 the robust control, 10 the neural network control, 11,12 and the disturbance observ...

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Adaptive Neural Control for Uncertain Attitude Dynamics of Near-Space Vehicles with Oblique Wing

2013

Advances in Neural Networks – ISNN 2013

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Robust control for a class of time-delay uncertain nonlinear systems based on sliding mode observer

Cited by 12 publications

References 21 publications

Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

Robust Disturbance Rejection in Uncertain Singular Systems Using Equivalent-Input-Disturbance Method Based on Output Feedback Control

Model reference resilient control for the helicopter with time‐varying disturbance

Adaptive Neural Control for Uncertain Attitude Dynamics of Near-Space Vehicles with Oblique Wing

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