Global Practical Stabilization of the Double Integrator System In the Presence of Output Saturation and a Bounded Disturbance Article Swipe

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Zhiyuan Zhu , Yuanlong Li , Zongli Lin ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1016/j.ifacol.2023.10.423

In this paper we consider the problem of global practical stabilization of the double integrator system in the presence of output saturation and a bounded disturbance additive to the output. Because of the disturbance in the output, not all system states can be driven into an arbitrarily small set, as in the usual practical stabilization problem, the output can only be driven into a bounded set whose size is dependent on the bound of the disturbance. It is shown that there exist linear feedback laws that globally practically stabilize the double integrator system in the presence of output saturation and the bounded output disturbance, and we propose linear low gain based dynamic output feedback laws to solve the global practical stabilization problem. Simulation results illustrate the effectiveness of the proposed control design.

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Integrator Control theory (sociology) Bounded function Disturbance (geology) Saturation (graph theory) Double integrator Mathematics Linear system Set (abstract data type) Computer science Control (management) Mathematical analysis Bandwidth (computing) Paleontology Biology Computer network Combinatorics Programming language Artificial intelligence

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Type: article
Language: en
Landing Page: https://doi.org/10.1016/j.ifacol.2023.10.423
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DOI: https://doi.org/10.1016/j.ifacol.2023.10.423

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Title: Global Practical Stabilization of the Double Integrator System In the Presence of Output Saturation and a Bounded Disturbance

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Language: en

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Publication year: 2023

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Authors: Zhiyuan Zhu, Yuanlong Li, Zongli Lin

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Concepts: Integrator, Control theory (sociology), Bounded function, Disturbance (geology), Saturation (graph theory), Double integrator, Mathematics, Linear system, Set (abstract data type), Computer science, Control (management), Mathematical analysis, Bandwidth (computing), Paleontology, Biology, Computer network, Combinatorics, Programming language, Artificial intelligence

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Cited by: 1

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abstract_inverted_index.bounded	24, 64, 101
abstract_inverted_index.control	130
abstract_inverted_index.design.	131
abstract_inverted_index.dynamic	111
abstract_inverted_index.output,	36
abstract_inverted_index.output.	29
abstract_inverted_index.problem	6
abstract_inverted_index.propose	106
abstract_inverted_index.results	123
abstract_inverted_index.additive	26
abstract_inverted_index.consider	4
abstract_inverted_index.feedback	83, 113
abstract_inverted_index.globally	86
abstract_inverted_index.presence	18, 95
abstract_inverted_index.problem,	55
abstract_inverted_index.problem.	121
abstract_inverted_index.proposed	129
abstract_inverted_index.dependent	69
abstract_inverted_index.practical	9, 53, 119
abstract_inverted_index.stabilize	88
abstract_inverted_index.Simulation	122
abstract_inverted_index.illustrate	124
abstract_inverted_index.integrator	14, 91
abstract_inverted_index.saturation	21, 98
abstract_inverted_index.arbitrarily	46
abstract_inverted_index.disturbance	25, 33
abstract_inverted_index.practically	87
abstract_inverted_index.disturbance,	103
abstract_inverted_index.disturbance.	75
abstract_inverted_index.effectiveness	126
abstract_inverted_index.stabilization	10, 54, 120
cited_by_percentile_year.max	94
cited_by_percentile_year.min	90
corresponding_author_ids	https://openalex.org/A5100648805, https://openalex.org/A5072774939, https://openalex.org/A5113206300
countries_distinct_count	2
institutions_distinct_count	3
corresponding_institution_ids	https://openalex.org/I1327237609, https://openalex.org/I183067930, https://openalex.org/I51556381
citation_normalized_percentile.value	0.53521377
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False