Decentralized Intermittent Feedback Adaptive Control of Non-triangular Nonlinear Time-varying Systems Article Swipe

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Libei Sun , Xiucai Huang , Yongduan Song ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2208.00356

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only with its neighbors and only intermittent (rather than continuous) states and input are to be utilized. Thus far to our best knowledge, no solution exists priori to this work, despite its high prevalence in practice. Two globally decentralized adaptive control schemes are presented based on the backstepping technique, the first one is developed in a continuous fashion by combining the philosophy of the modified congelation of variables based approach with the special treatment of non-triangular structural uncertainties, which avoids the derivative of time-varying parameters and eliminates the limitation of the triangular condition, thus largely broadens the scope of application. By making use of the important property that the partial derivatives of the constructed virtual controllers in each subsystem are all constant, the second scheme is developed through directly replacing the states in the preceding scheme with the triggered ones. Consequently, the non-differentiability of the virtual control stemming from intermittent state feedback is completely obviated. The internal signals under both schemes are rigorously shown to be globally uniformly bounded with the aid of several novel lemmas, while the stabilization performance can be enhanced by appropriately adjusting design parameters. Moreover, the inter-event intervals are ensured to be lower-bounded by a positive constant. Finally, numerical simulation verifies the benefits and efficiency of the proposed method.

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Backstepping Bounded function Control theory (sociology) Differentiable function Nonlinear system A priori and a posteriori Constant (computer programming) Computer science Triangular matrix Controller (irrigation) Scheme (mathematics) Time derivative Control (management) Adaptive control Mathematics Biology Mathematical analysis Physics Invertible matrix Philosophy Epistemology Programming language Quantum mechanics Pure mathematics Agronomy Artificial intelligence

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2208.00356
PDF: https://arxiv.org/pdf/2208.00356
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DOI: https://doi.org/10.48550/arxiv.2208.00356

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Title: Decentralized Intermittent Feedback Adaptive Control of Non-triangular Nonlinear Time-varying Systems

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Language: en

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Publication year: 2022

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Publication date: 2022-07-31

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Authors: Libei Sun, Xiucai Huang, Yongduan Song

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Concepts: Backstepping, Bounded function, Control theory (sociology), Differentiable function, Nonlinear system, A priori and a posteriori, Constant (computer programming), Computer science, Triangular matrix, Controller (irrigation), Scheme (mathematics), Time derivative, Control (management), Adaptive control, Mathematics, Biology, Mathematical analysis, Physics, Invertible matrix, Philosophy, Epistemology, Programming language, Quantum mechanics, Pure mathematics, Agronomy, Artificial intelligence

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abstract_inverted_index.broadens	123
abstract_inverted_index.directly	156
abstract_inverted_index.enhanced	210
abstract_inverted_index.feedback	179
abstract_inverted_index.globally	65, 194
abstract_inverted_index.internal	184
abstract_inverted_index.modified	92
abstract_inverted_index.positive	227
abstract_inverted_index.presence	15
abstract_inverted_index.property	134
abstract_inverted_index.proposed	239
abstract_inverted_index.solution	52
abstract_inverted_index.stemming	175
abstract_inverted_index.verifies	232
abstract_inverted_index.Moreover,	216
abstract_inverted_index.adjusting	213
abstract_inverted_index.combining	87
abstract_inverted_index.constant,	149
abstract_inverted_index.constant.	228
abstract_inverted_index.developed	81, 154
abstract_inverted_index.exchanges	26
abstract_inverted_index.important	133
abstract_inverted_index.intervals	219
abstract_inverted_index.neighbors	31
abstract_inverted_index.numerical	230
abstract_inverted_index.obviated.	182
abstract_inverted_index.practice.	63
abstract_inverted_index.preceding	162
abstract_inverted_index.presented	71
abstract_inverted_index.replacing	157
abstract_inverted_index.subsystem	25, 146
abstract_inverted_index.treatment	101
abstract_inverted_index.triggered	166
abstract_inverted_index.uniformly	195
abstract_inverted_index.utilized.	44
abstract_inverted_index.variables	95
abstract_inverted_index.completely	181
abstract_inverted_index.condition,	120
abstract_inverted_index.continuous	84
abstract_inverted_index.derivative	109
abstract_inverted_index.efficiency	236
abstract_inverted_index.eliminates	114
abstract_inverted_index.knowledge,	50
abstract_inverted_index.limitation	116
abstract_inverted_index.parameters	112
abstract_inverted_index.philosophy	89
abstract_inverted_index.prevalence	61
abstract_inverted_index.rigorously	190
abstract_inverted_index.simulation	231
abstract_inverted_index.structural	18, 104
abstract_inverted_index.technique,	76
abstract_inverted_index.triangular	119
abstract_inverted_index.congelation	93
abstract_inverted_index.constructed	141
abstract_inverted_index.continuous)	37
abstract_inverted_index.controllers	143
abstract_inverted_index.derivatives	138
abstract_inverted_index.information	27
abstract_inverted_index.inter-event	218
abstract_inverted_index.parameters,	22
abstract_inverted_index.parameters.	215
abstract_inverted_index.performance	207
abstract_inverted_index.application.	127
abstract_inverted_index.backstepping	75
abstract_inverted_index.intermittent	34, 177
abstract_inverted_index.investigates	2
abstract_inverted_index.time-varying	21, 111
abstract_inverted_index.Consequently,	168
abstract_inverted_index.appropriately	212
abstract_inverted_index.decentralized	4, 66
abstract_inverted_index.lower-bounded	224
abstract_inverted_index.stabilization	5, 206
abstract_inverted_index.uncertainties	19
abstract_inverted_index.interconnected	11
abstract_inverted_index.non-triangular	17, 103
abstract_inverted_index.uncertainties,	105
abstract_inverted_index.non-differentiability	170
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	3
citation_normalized_percentile