Combined $\mathcal{H}_{\infty}$ linear parameter varying control design and optimal sensor/actuator selection
| Autor: | ZhongZhe Dong, Goele Pipeleers, Taranjitsingh Singh, Wilm Decré, Massimo De Mauri, Jan Swevers |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Optimization problem Concurrent engineering Branch and bound Computer science 020208 electrical & electronic engineering 02 engineering and technology Linear parameter-varying control 020901 industrial engineering & automation Computer Science::Systems and Control Control theory Composite plate 0202 electrical engineering electronic engineering information engineering Actuator Selection (genetic algorithm) |
| Zdroj: | 2019 18th European Control Conference (ECC). |
| DOI: | 10.23919/ecc.2019.8795969 |
| Popis: | This paper presents an approach to combine $\mathcal{H}_{\infty}$ dynamic output feedback controller design for linear parameter-varying (LPV) systems with optimal selection of sensors and actuators. This concurrent design problem is formulated as a Mixed Boolean Semi-Definite Programming (MBSDP) optimization problem. By means of the Big-M reformulation, the boolean decision variables related to the selection of sensors and actuators are decoupled from the SDP problem underlying the $\mathcal{H}_{\infty}$ controller synthesis. This reformulation allows us to solve the initial NP-hard problem using a Branch and Bound (BNB) algorithm. The concurrent design of an LPV vibration controller and optimal actuator selection for a smart composite plate serves as a case study to validate the developed approach. |
| Databáze: | OpenAIRE |
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