Switching Adaptive Controller for the Nonlinear Systems With Uncertainties From Unknown Powers

Wang, Meiqiao; Liu, Yungang; Man, Yongchao

doi:10.1109/tsmc.2018.2814345

Cited by 32 publications

(41 citation statements)

References 31 publications

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“…From this, (14) and the explicit expressions of H ki (⋅)'s in (20), (21), (22), and (24), it is obviously that H k (⋅) ≥ 1 and H k (x [k] ,y r ,K, ⋅) is strictly increasing for each fixed (x [k] ,y r ,K). Thus, by Assumption 1, (5), (6), (18), (19), (23), (25), and noting the estimations of 1 to 4 , we obtaiṅ…”

Section: Proof Of Propositionmentioning

confidence: 93%

“…Moreover, the system nonlinearities also allow nonparametric uncertainties, and hence are essentially more general than those in the closely related works. 10,[14][15][16][17] Remark that although the switching adaptive strategy developed in the work of Wang et al 23 shows powerful ability in dealing with serious uncertainties in input powers, it can hardly be applicable to the question under investigation. This is mainly due to the difficulties in constructing an appropriate switching logic available for the tracking case.…”

Section: Introductionmentioning

confidence: 99%

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Global practical tracking for nonlinear systems with unknown input powers using dual high‐gain‐based adaptive feedback

Man

Liu

2020

Intl J Robust & Nonlinear

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This article is devoted to the global practical tracking for a class of uncertain nonlinear systems. Notably, the input powers of the system are unknown and not required to be upper bounded by known constants. This means the presence of new type of serious uncertainties, which makes the problem under investigation largely challenging and urges us to develop a new powerful adaptive control scheme, particularly the compensation strategy to overcome the negative influence caused by the uncertainties. For this, a dual high-gain-based adaptive control design scheme is proposed, in which a dynamic high gain and a high gain function are jointly introduced to compensate the serious system uncertainties. Under the designed controller, all the signals of the resulting closed-loop system are bounded and furthermore the tracking error remains any prescribed small after a finite time.

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Section: Proof Of Propositionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Global practical tracking for nonlinear systems with unknown input powers using dual high‐gain‐based adaptive feedback

Man

Liu

2020

Intl J Robust & Nonlinear

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“…12 More importantly, investigations on system (1), for a variety of uncertainties and nonlinearities, could disclose to us the essence of the feedback control and the scope of the existing methods. [5][6][7][8][12][13][14] Despite the fruitful results, most concern the cases of known input powers and restrict the tolerance to the system uncertainties. In practice, the system powers may vary because of different running conditions of boiler-turbine unit 12 and the aging of hardening spring.…”

Section: Introductionmentioning

confidence: 99%

“…We would like to explain that Assumption 1 is more general than those in the related works. 8,12,14 Specifically, the system nonlinearities in References 8,12,14 satisfy…”

Section: Introductionmentioning

confidence: 99%

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Adaptive controller of nonlinear systems with unknown control directions and unknown input powers

Guo

Liu

Man

2020

Intl J Robust & Nonlinear

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This article is devoted to global adaptive stabilization for a class of uncertain nonlinear systems. Notably, the systems under investigation admit unknown control directions and unknown input powers, and particularly the latter, which are a new type of system uncertainties, largely challenge the feasibility of continuous feedbacks. This spurs us to pursue a switching adaptive feedback which is actual a discontinuous one with high feedback capability. To solve the control problem, a parameterized controller in a specified form is first introduced, which can globally stabilize the system once the design parameter involved belongs to a certain set. However, the controller cannot directly be implemented since the set depends heavily on the unknown input powers. To make the parameterized controller implementable, a new switching strategy is delicately proposed, which can instantly update the parameters of the controller to compensate the serious system uncertainties. It turns out that the parameterized controller with switching updating mechanism guarantees that all the signals of the closed-loop system are globally bounded and ultimately converge to zero. Simulation examples demonstrate the effectiveness of the proposed design scheme. K E Y W O R D S adaptive controller, global stabilization, nonlinear systems, switching scheme, unknown control directions, unknown input powers ∈ R + : m 1 and m 2 are odd integers, m 1 ≥ m 2 }; unknown nonzero constants g i 's, called the control coefficients of the system, give rise to the unknown control directions for the system (due to their unknown signs).

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Neural network‐based decentralized adaptive fault‐tolerant control for a class of nonlinear interconnected systems with unknown input powers

Zhu

Shen

Zhang

2023

Adaptive Control & Signal

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Summary This article studies the output tracking control for a class of interconnected nonlinear systems with actuator faults, where each subsystem has unknown powers. Based on Lyapunov stability theory, a neural‐network‐based decentralized adaptive fault‐tolerant control scheme is proposed so that each tracking error can be constricted in a small adjustable neighborhood of the origin. In existing results, interconnections and actuator bias faults have been addressed. But the systems' input powers are required to be a known positive integer and preferably one. So in our article, we relax the restrictions and consider more general systems whose input powers are extended to larger than one and unknown at the same time. Finally, two numerical simulation examples are shown to explain the validity of control strategy proposed in our article.

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Switching Adaptive Controller for the Nonlinear Systems With Uncertainties From Unknown Powers

Cited by 32 publications

References 31 publications

Global practical tracking for nonlinear systems with unknown input powers using dual high‐gain‐based adaptive feedback

Global practical tracking for nonlinear systems with unknown input powers using dual high‐gain‐based adaptive feedback

Adaptive controller of nonlinear systems with unknown control directions and unknown input powers

Neural network‐based decentralized adaptive fault‐tolerant control for a class of nonlinear interconnected systems with unknown input powers

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