2020
DOI: 10.1007/s11432-019-2714-7
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Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems

Abstract: This paper presents an adaptive control method for a class of uncertain strict-feedback switched nonlinear systems. First, we consider the constraint characteristics in the switched nonlinear systems to ensure that all states in switched systems do not violate the constraint ranges. Second, we design the controller based on the backstepping technique, while integral Barrier Lyapunov functions (iBLFs) are adopted to solve the full state constraint problems in each step in order to realize the direct constraints… Show more

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Cited by 360 publications
(153 citation statements)
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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%
See 1 more Smart Citation
“…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%
“…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%
“…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%
“…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%