Set‐based gain‐scheduled control via quasi‐convex difference inclusions
| Autor: | Ruben Robles, Antonio Sala, Carlos Ariño |
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| Rok vydání: | 2020 |
| Předmět: |
Mathematical optimization
Computer science set-based control Mechanical Engineering General Chemical Engineering Control (management) convex difference inclusion Biomedical Engineering Regular polygon Aerospace Engineering gain-scheduling invariant sets polyhedral Lyapunov function quasi-LPV systems Industrial and Manufacturing Engineering Set (abstract data type) Gain scheduling Control and Systems Engineering Electrical and Electronic Engineering |
| Zdroj: | International Journal of Robust and Nonlinear Control. 31:8124-8146 |
| ISSN: | 1099-1239 1049-8923 |
| DOI: | 10.1002/rnc.5180 |
| Popis: | A nonlinear system with sector-bounded nonlinearities may be expressed as a quasiLPV system (convex combination of linear models), being this a well-known fact. The convex difference inclusion (CDI) modelling framework proposed by M. Fiacchini and coworkers in several of their works generalises the quasi-LPV modelling procedure and proposes robust controllers enlarging polytopic domain of attraction estimates. This works further generalises the CDI approach to a gain-scheduled case including, also, some quasi-convex cases. Controller design is based on convexity properties of two set valued maps describing (with some uncertainty) the state evolution and the state-dependent set where scheduling variables take values. As most set-based approaches, the proposal is tractable in low-dimensional cases. The presented results encompass prior quasi-LPV and CDI models as particular cases. |
| Databáze: | OpenAIRE |
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