Adaptive finite‐time stabilization of nonlinearly parameterized systems subject to mismatching disturbances

Min, Huifang; Xu, Shengyuan; Zhang, Zhengqiang

doi:10.1002/rnc.4560

Cited by 17 publications

(10 citation statements)

References 45 publications

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“…According to Lemma 2 in [31] and Lemma 3.6 in [32], the closed-loop system is finite-time bounded. And the convergence time is t c ≤ V 0:25 l ðxð0ÞÞ/0:75kθ 0 ; the error converges into Ω = fX | V 0:75 l ≤ σ/kð1 − θ 0 Þg when t ≥ t c , where 0 < θ 0 < 1 and x = ½S V , S h , S γ , S θ , S q T .…”

Section: Simulation Resultsmentioning

confidence: 99%

Adaptive Backstepping Sliding Mode Control of Air-Breathing Hypersonic Vehicles

Wang¹,

Jiang²,

Yu³

2020

International Journal of Aerospace Engineering

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In this paper, a controller combining backstepping and adaptive supertwisting sliding mode control method is proposed for altitude and velocity tracking control of air-breathing hypersonic vehicles (AHVs). Firstly, the nonlinear longitudinal model of AHV is introduced and transformed into a strict feedback form, to which the backstepping method can be applied. Considering the longitudinal trajectory tracking control problem (altitude control and velocity control), the altitude tracking control system is decomposed to several one-order subsystems based on the backstepping method, and an adaptive supertwisting sliding mode controller is designed for each subsystem, in order to obtain the virtual control variables and actual control input. Secondly, the overall stability of the closed-loop system is proved by the Lyapunov stability theory. At last, the simulation is carried out on an AHV model. The results show that the proposed controller has good control performances and good robustness in the parameter perturbation case.

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Section: Simulation Resultsmentioning

confidence: 99%

Adaptive Backstepping Sliding Mode Control of Air-Breathing Hypersonic Vehicles

Wang¹,

Jiang²,

Yu³

2020

International Journal of Aerospace Engineering

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“…Remark 3. In (41),ĝ 0̂0 z n n +g 0 z n v + g 0̃0 z n n =ĝ 0̂0 z n n +g 0̂0 z n n + g 0̃0 z n n = g 0̂0 z n n + g 0̃0 z n n = g 0 0 z n n = z n n is used. Note that the constant control gain is handled by using adaptive control instead of the commonly used Nussbaum function.…”

Section: Design Of Output-feedback Controllermentioning

confidence: 99%

“…In recent years, the disturbance observer‐based control (DOBC) presented in Reference 32 was proven to be a promising method since it can well deal with unmeasurable disturbances by applying the known information to estimate it. Thus, DOBC combined with backstepping and other design technique was extensively applied to the control design of nonlinear systems with disturbances; see, References 29,31,33‐42 and the references therein. For constrained nonlinear systems with disturbances, References 16 and 20 studied different control problems by assuming the upper bounds of the disturbances are exactly known.…”

Section: Introductionmentioning

confidence: 99%

Observer‐based tracking control for constrained nonlinear systems with mismatching disturbances and its application

Min

Fei

et al. 2020

Intl J Robust & Nonlinear

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In this article, a novel output-feedback control scheme is proposed for nonlinear systems involving unknown input saturation, control gain, and unmeasurable disturbances under the condition of an output constraint. First, a proper barrier Lyapunov function and an opportune backstepping are used to alleviate the control burdens caused by output constraint. Then, a novel auxiliary system is introduced with appropriate coordinate transformation, which can create extra freedoms to attenuate the effects brought by input saturation. As a remarkable feature, a composite observer with the estimate of unknown control gain is constructed on the basis of disturbance observer-based control and state observer control. It can deal with the unmeasurable disturbances and states simultaneously. According to the proposed scheme, it is proven that all the signals in the closed-loop system are uniformly ultimately bounded, and the tracking error is bounded by the design parameters and saturated input error without the violation of the output constraint. Finally, the effectiveness of the proposed control is verified by two simulation examples.

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“…The second difficulty is how to deal with the unknown disturbances. The finite‐time control problem has been investigated for nonlinear systems with disturbances in References 33‐36. However, the bounds of the disturbances were required to be known in References 33,34.…”

Section: Introductionmentioning

confidence: 99%

“…However, the bounds of the disturbances were required to be known in References 33,34. When the bounds of the disturbances were unknown in References 35,36, only practical finite‐time stability could be obtained. Especially, the adaptive finite‐time control problem will become more difficult when the unknown fault exists in the system input.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time adaptive control of high‐order nonlinear systems with unknown control coefficients and actuator fault

Park

2020

Intl J Robust & Nonlinear

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In this article, the global finite-time adaptive control problem is considered for high-order nonlinear systems in the presence of unknown control coefficients, actuator fault, and external disturbance. Different from the previous results, a tune parameter is introduced to directly compensate the unknown control coefficients rather than the traditional Nussbaum-gain function. Without requiring a priori knowledge of the uncertainties, a switching-type adaptive controller is proposed by adding a power integrator method. Based on the modified switching mechanism, the controller parameter can be tuned online such that global finite-time stability can be achieved. Finally, a simulation example combined with comparison is provided to verify the effectiveness of the proposed method.

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Adaptive finite‐time stabilization of nonlinearly parameterized systems subject to mismatching disturbances

Cited by 17 publications

References 45 publications

Adaptive Backstepping Sliding Mode Control of Air-Breathing Hypersonic Vehicles

Adaptive Backstepping Sliding Mode Control of Air-Breathing Hypersonic Vehicles

Observer‐based tracking control for constrained nonlinear systems with mismatching disturbances and its application

Finite‐time adaptive control of high‐order nonlinear systems with unknown control coefficients and actuator fault

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