On the optimization of actuator saturation limits for LTI systems: an LMI-based invariant ellipsoid approach
| Autor: | Gianluca Rizzello, Damiano Rotondo |
|---|---|
| Přispěvatelé: | Institut de Robòtica i Informàtica Industrial, Universitat Politècnica de Catalunya. SAC - Sistemes Avançats de Control |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Informàtica::Automàtica i control [Àrees temàtiques de la UPC] Actuator optimization Invariant ellipsoid Optimisation [Classificació INSPEC] Computer simulation Computer science 020208 electrical & electronic engineering Actuator saturation Linear matrix inequality 02 engineering and technology Teknologi: 500 [VDP] Set (abstract data type) 020901 industrial engineering & automation Control and Systems Engineering Control theory Integral state reset 0202 electrical engineering electronic engineering information engineering LMI Saturation (chemistry) Actuator Dimensioning |
| Zdroj: | IFAC-Papers UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.1568 |
| Popis: | This paper considers the problem of optimal actuator dimensioning for LTI systems, in the sense of choosing appropriate saturation limits for a given set of admissible initial conditions and for a predefined integral state-feedback control law. By using an invariant ellipsoid argument, it is shown that this problem can be described as a linear matrix inequality (LMI)-based optimization that can be solved efficiently. Moreover, the paper shows that the optimal actuator dimensioning is connected to the choice of the initial conditions of the integral states of the controller, which can be included in the overall optimization to improve further the results. Two different methods are described and analyzed by means of simulation results. This work has been supported by the Spanish State Research Agency (AEI)through the Maria de Maeztu Seal of Excellence to IRI (MDM-2016-0656)and the grant Juan de la Cierva-Formacion (FJCI-2016-29019), by the DAADfunding programme: Research Grants - Short-Term Grants, 2019 (57440917),personal reference: 91725219, and by the University of Stavanger through theproject IN-12267. |
| Databáze: | OpenAIRE |
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