New H∞ control design for polytopic systems with mixed time-varying delays in state and input Article Swipe
This paper concerns with the problem of state-feedback H∞ control design for a class of linear systems with polytopic uncertainties and mixed time-varying delays in state and input. Our approach can be described as follows. We first construct a state-feedback controller based on the idea of parameter-dependent controller design. By constructing a new parameter-dependent Lyapunov-Krasovskii functional (LKF), we then derive new delay-dependent conditions in terms of linear matrix inequalities ensuring the exponential stability of the corresponding closed-loop system with a H∞ disturbance attenuation level. The effectiveness and applicability of the obtained results are demonstrated by practical examples.
Related Topics
Concepts
Control theory (sociology)
Computer science
Controller (irrigation)
State (computer science)
Stability (learning theory)
Matrix (chemical analysis)
Exponential stability
Full state feedback
Linear matrix inequality
Class (philosophy)
Control (management)
Mathematical optimization
Mathematics
Algorithm
Nonlinear system
Physics
Machine learning
Artificial intelligence
Materials science
Biology
Composite material
Quantum mechanics
Agronomy
Metadata
- Type
- article
- Language
- en
- OA Status
- green
- Cited By
- 8
- References
- 38
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W1428720308
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W1428720308Canonical identifier for this work in OpenAlex
- Title
-
New H∞ control design for polytopic systems with mixed time-varying delays in state and inputWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-06-04Full publication date if available
- Authors
-
Le Van Hien, Trung Dinh Tran, Hieu TrinhList of authors in order
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- Concepts
-
Control theory (sociology), Computer science, Controller (irrigation), State (computer science), Stability (learning theory), Matrix (chemical analysis), Exponential stability, Full state feedback, Linear matrix inequality, Class (philosophy), Control (management), Mathematical optimization, Mathematics, Algorithm, Nonlinear system, Physics, Machine learning, Artificial intelligence, Materials science, Biology, Composite material, Quantum mechanics, AgronomyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
8Total citation count in OpenAlex
- Citations by year (recent)
-
2016: 7, 2015: 1Per-year citation counts (last 5 years)
- References (count)
-
38Number of works referenced by this work
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.can | 30 |
| abstract_inverted_index.for | 11 |
| abstract_inverted_index.new | 52, 60 |
| abstract_inverted_index.the | 4, 43, 70, 74, 89 |
| abstract_inverted_index.H∞ | 8, 80 |
| abstract_inverted_index.This | 0 |
| abstract_inverted_index.idea | 44 |
| abstract_inverted_index.then | 58 |
| abstract_inverted_index.with | 3, 17, 78 |
| abstract_inverted_index.based | 41 |
| abstract_inverted_index.class | 13 |
| abstract_inverted_index.first | 36 |
| abstract_inverted_index.mixed | 21 |
| abstract_inverted_index.paper | 1 |
| abstract_inverted_index.state | 25 |
| abstract_inverted_index.terms | 64 |
| abstract_inverted_index.(LKF), | 56 |
| abstract_inverted_index.delays | 23 |
| abstract_inverted_index.derive | 59 |
| abstract_inverted_index.design | 10 |
| abstract_inverted_index.input. | 27 |
| abstract_inverted_index.level. | 83 |
| abstract_inverted_index.linear | 15, 66 |
| abstract_inverted_index.matrix | 67 |
| abstract_inverted_index.system | 77 |
| abstract_inverted_index.control | 9 |
| abstract_inverted_index.design. | 48 |
| abstract_inverted_index.problem | 5 |
| abstract_inverted_index.results | 91 |
| abstract_inverted_index.systems | 16 |
| abstract_inverted_index.approach | 29 |
| abstract_inverted_index.concerns | 2 |
| abstract_inverted_index.ensuring | 69 |
| abstract_inverted_index.follows. | 34 |
| abstract_inverted_index.obtained | 90 |
| abstract_inverted_index.construct | 37 |
| abstract_inverted_index.described | 32 |
| abstract_inverted_index.examples. | 96 |
| abstract_inverted_index.polytopic | 18 |
| abstract_inverted_index.practical | 95 |
| abstract_inverted_index.stability | 72 |
| abstract_inverted_index.conditions | 62 |
| abstract_inverted_index.controller | 40, 47 |
| abstract_inverted_index.functional | 55 |
| abstract_inverted_index.attenuation | 82 |
| abstract_inverted_index.closed-loop | 76 |
| abstract_inverted_index.disturbance | 81 |
| abstract_inverted_index.exponential | 71 |
| abstract_inverted_index.constructing | 50 |
| abstract_inverted_index.demonstrated | 93 |
| abstract_inverted_index.inequalities | 68 |
| abstract_inverted_index.time-varying | 22 |
| abstract_inverted_index.applicability | 87 |
| abstract_inverted_index.corresponding | 75 |
| abstract_inverted_index.effectiveness | 85 |
| abstract_inverted_index.uncertainties | 19 |
| abstract_inverted_index.state-feedback | 7, 39 |
| abstract_inverted_index.delay-dependent | 61 |
| abstract_inverted_index.Lyapunov-Krasovskii | 54 |
| abstract_inverted_index.parameter-dependent | 46, 53 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 3 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.00014838 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |