Unified Performance Control for Non-Square Nonlinear Systems with Relaxed Controllability Article Swipe
Bing Zhou
,
Kai Zhao
,
Yongduan Song
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.13252
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2411.13252
In this paper, we investigate the problem of unified prescribed performance tracking for a class of non-square strict-feedback nonlinear systems under relaxed controllability conditions. By using a skillful matrix decomposition and introducing some feasible auxiliary matrices, a more generalized controllability condition than the current state of the art is constructed, which can be applied to both square and non-square nonlinear systems subject to actuator faults and unknown yet time-varying control gain. Incorporating the relaxed controllability conditions and the uniform performance specifications into the backstepping design procedure, a prescribed performance fault-tolerant controller is developed that can achieve different performance demands without modifying the controller structure, which is more flexible and practical.In addition, the destruction of the system stability by unknown controllability auxiliary matrices and unknown nonlinearities is circumvented by embedding the available core information of the state-dependent uncertainties into the design procedure. Both theoretical analysis and numerical simulation demonstrate the effectiveness and benefits of the proposed method.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2411.13252
- https://arxiv.org/pdf/2411.13252
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4404648985
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W4404648985Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2411.13252Digital Object Identifier
- Title
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Unified Performance Control for Non-Square Nonlinear Systems with Relaxed ControllabilityWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-11-20Full publication date if available
- Authors
-
Bing Zhou, Kai Zhao, Yongduan SongList of authors in order
- Landing page
-
https://arxiv.org/abs/2411.13252Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2411.13252Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2411.13252Direct OA link when available
- Concepts
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Controllability, Square (algebra), Nonlinear system, Control theory (sociology), Control (management), Mathematics, Computer science, Applied mathematics, Physics, Artificial intelligence, Geometry, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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