Gain-Scheduled H∞ Control for Discrete-Time Polynomial LPV Systems Using Homogeneous Polynomial Path-Dependent Lyapunov Functions Article Swipe
Luis A. Rodrigues
,
Juan F. Camino
,
Pedro L. D. Peres
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1016/j.ifacol.2018.11.142
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1016/j.ifacol.2018.11.142
This paper provides linear matrix inequality (LMI) analysis and synthesis conditions for the design of H∞ robust and gain-scheduled static output feedback controllers, for discrete-time linear parameter-varying systems. It is assumed that the system matrices have a homogeneous polynomial dependence of arbitrary degree on the time-varying scheduling parameters, which are assumed to vary inside a polytope and to have known bounds on their rates of variation. The geometric properties of the polytopic domain are exploited in order to derive a finite set of LMIs that takes into account bounds on the variation rate of the scheduling parameters. LMI conditions are obtained using a quadratic Lyapunov function with a homogeneous polynomial dependence on the scheduling parameters at successive instants of time. Numerical results show the benefits of the proposed approach.
Related Topics
Concepts
Mathematics
Lyapunov function
Homogeneous polynomial
Linear matrix inequality
Polytope
Control theory (sociology)
Polynomial
Applied mathematics
Gain scheduling
Discrete time and continuous time
Quadratic equation
Mathematical optimization
Matrix polynomial
Mathematical analysis
Computer science
Discrete mathematics
Control (management)
Nonlinear system
Quantum mechanics
Artificial intelligence
Physics
Geometry
Statistics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.ifacol.2018.11.142
- OA Status
- diamond
- Cited By
- 3
- References
- 23
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2900737901
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W2900737901Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1016/j.ifacol.2018.11.142Digital Object Identifier
- Title
-
Gain-Scheduled H∞ Control for Discrete-Time Polynomial LPV Systems Using Homogeneous Polynomial Path-Dependent Lyapunov FunctionsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2018Year of publication
- Publication date
-
2018-01-01Full publication date if available
- Authors
-
Luis A. Rodrigues, Juan F. Camino, Pedro L. D. PeresList of authors in order
- Landing page
-
https://doi.org/10.1016/j.ifacol.2018.11.142Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1016/j.ifacol.2018.11.142Direct OA link when available
- Concepts
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Mathematics, Lyapunov function, Homogeneous polynomial, Linear matrix inequality, Polytope, Control theory (sociology), Polynomial, Applied mathematics, Gain scheduling, Discrete time and continuous time, Quadratic equation, Mathematical optimization, Matrix polynomial, Mathematical analysis, Computer science, Discrete mathematics, Control (management), Nonlinear system, Quantum mechanics, Artificial intelligence, Physics, Geometry, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
-
2022: 1, 2020: 1, 2019: 1Per-year citation counts (last 5 years)
- References (count)
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23Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| primary_location.landing_page_url | https://doi.org/10.1016/j.ifacol.2018.11.142 |
| publication_date | 2018-01-01 |
| publication_year | 2018 |
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