Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems

Liu, Lei; Chen, Aiqing; Tong, Shaocheng; Chen, C. L. Philip

doi:10.1007/s11432-019-2714-7

Cited by 360 publications

(153 citation statements)

References 50 publications

(77 reference statements)

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“…Of course, previous literatures have also been pro-posed in this case. For example, [22] proposes a novel integral barrier Lyapunov function (BLF) based controller combined with the L'Hospital's rule, which is first applied to switched nonlinear systems. Reference [23] proposes a novel common-mode voltage suppression method based on the complementary modulation sequence.…”

Section: Main Gridmentioning

confidence: 99%

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Steady-state Stability Assessment of AC-busbar Plug-in Electric Vehicle Charging Station with Photovoltaic

Wang

Sun

Qin

et al. 2020

Journal of Modern Power Systems and Clean Energy

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Although the deployment of alternating current (AC)-busbar plug-in electric vehicle (PEV) charging station with photovoltaic (PV) is a promising alternative, the interaction among subsystems always causes the instability problem. Meanwhile, the conventional generalized Nyquist criterion (GNC) is complex, and it is not suitable for the design of the AC system. Therefore, this paper proposes a modified infinityone-norm (MION) stability criterion based on the impedance method to assess the stability of the foresaid charging station. Firstly, the typical structure and operation modes of the charging station are studied. Furthermore, each subsystem impedance matrix is built by small-signal method, and the MION stability criterion based on impedance method is proposed to assess the charging station stability. Compared with the previous simplified stability criteria based on the norm, the proposed criterion has lower conservatism. Furthermore, the design regulation for the controller parameters is provided, and the stability recovery way is provided by connecting the doubly-fed line and energy storage equipment, which are selected based on intermediate variable, i. e., short-circuit ratio (SCR). Finally, the effectiveness and conservatism of the proposed stability criterion are validated through simulation and experimental results.

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Section: Main Gridmentioning

confidence: 99%

“…where ω f is the cutoff frequency of the low-pass filter. The droop controller can be represented as [22]:…”

Section: Main Gridmentioning

confidence: 99%

Steady-state Stability Assessment of AC-busbar Plug-in Electric Vehicle Charging Station with Photovoltaic

Wang

Sun

Qin

et al. 2020

Journal of Modern Power Systems and Clean Energy

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show abstract

“…With the continuous development of fuzzy set, soft set, and uncertainty theory, artificial intelligence has received extensive attention around the world. Related control schemes have also achieved fruitful results [26][27][28][29][30][31][32][33][34][35][36][37][38]. More detailed research on the uncertainty measures of fuzzy soft sets and other models can provide a reliable mathematical foundation for the development of cybernetics.…”

Section: Introductionmentioning

confidence: 99%

Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making

Wang

Liu

2020

Complexity

Self Cite

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As an extension of fuzzy sets, hesitant bipolar-valued fuzzy set is a new mathematical tool for dealing with fuzzy problems, but it still has the problem with the inadequacy of the parametric tools. In order to further improve the accuracy of decision making, a new mixed mathematical model, named hesitant bipolar-valued fuzzy soft set, is constructed by combining hesitant bipolar-valued fuzzy sets with soft sets. Firstly, some related theories of hesitant bipolar-valued fuzzy sets are discussed. Secondly, the concept of hesitant bipolar-valued fuzzy soft set is given, and the algorithms of complement, union, intersection, “AND,” and “OR” are defined. Based on the above algorithms, the corresponding results of operation are analyzed and the relevant properties are discussed. Finally, a multiattribute decision-making method of hesitant bipolar-valued fuzzy soft sets is proposed by using the idea of score function and level soft sets. The effectiveness of the proposed method is illustrated by an example.

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“…For example, an output tracking constrained control protocol was investigated for switched uncertain nonlinear systems with consideration of unknown dead-zone nonlinearity by combining a timevarying tan-type barrier Lyapunov function and fuzzy logic system in [32]. Moreover, an integral barrier Lyapunov function was proposed to derive a full-state constrained adaptive control scheme for a class of uncertain switched nonlinear system in [33]. Although effective, the application of fuzzy logic systems in the above reference works makes it pretty challenging and complex to tune the relevant adaptive parameters online.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fault-Tolerant Guaranteed Performance Control for Euler-Lagrange Systems With Its Application to a 2-Link Robotic Manipulator

Zhang

Cheng

2020

IEEE Access

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This paper investigates a novel adaptive fault-tolerant guaranteed performance control problem for Euler-Lagrange systems subject to unknown actuator faults. Firstly, a barrier Lyapunov function instead of logarithmic transformation is constructed to handle the performance constraints imposed on the controlled system. Then, an adaptive control scheme is devised to guarantee the prescribed tracking performance with consideration of the unknown actuator faults. Compared with the existing works, the prominent advantage of the proposed control method is that the detailed actuator fault information is not required to identify online and the complex logarithmic transformation is avoided. In this sense, the complexity of the developed controller is decreased dramatically, which is easily achievable in practice. Finally, application to a 2-link robotic manipulator is organized to validate the effectiveness of the proposed control method.

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Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems

Cited by 360 publications

References 50 publications

Steady-state Stability Assessment of AC-busbar Plug-in Electric Vehicle Charging Station with Photovoltaic

Steady-state Stability Assessment of AC-busbar Plug-in Electric Vehicle Charging Station with Photovoltaic

Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making

Adaptive Fault-Tolerant Guaranteed Performance Control for Euler-Lagrange Systems With Its Application to a 2-Link Robotic Manipulator

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