Nonlinear output feedback control under gain-scheduling: invariant set approach
[EN] The objective of this paper is to present an efficient methodology for synthesizing control systems for nonlinear systems subjected to bounded external disturbances. Nonlinear systems can be embedded onto LPV systems (quasi-LPV formalism) but said embedding depends on the modelling region; mode...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::8216df2018b32e8020fbf074929a17f6 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/234709 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-Linear Control Systems Output feedback control Optimal control Linear Matrix Inequalities Invariant sets |
| Sumario: | [EN] The objective of this paper is to present an efficient methodology for synthesizing control systems for nonlinear systems subjected to bounded external disturbances. Nonlinear systems can be embedded onto LPV systems (quasi-LPV formalism) but said embedding depends on the modelling region; modelling region depends on which positively invariant sets can be proved, thus an iterative LMI approach ensues, to be explored in this work. A gain-scheduled control approach is proposed, where the control parameters are designed using iterative Linear Matrix Inequalities (LMIs) to approximate the smallest possible invariant set containing the origin. Control design conditions are derived by applying the Lyapunov method in conjunction with the H-1 star norm, and appropriately defined multipliers. A numerical example is provided to demonstrate the proposed methodology. |
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