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Distributed identification and control of spatially interconnected systems with application to an actuated beam |
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| Affiliation: | 1. Complex Systems Control Laboratory, University of Georgia, Athens, GA 30602, USA;2. Institute of Control Systems, Hamburg University of Technology, 21073 Hamburg, Germany;1. Institute of Sound and Vibration Research, University of Southampton, Southampton SO17 1BJ, UK;2. Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield S1 3JD, UK;1. Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, WV 26506, USA;2. Department of Aerospace Engineering Embry-Riddle Aeronautical University, Daytona Beach, FL 32114, USA;1. Centre for Process System Engineering, Department of Chemical Engineering, Imperial College London, London SW7 2AZ, UK;2. ABB Corporate Research Center, ul. Starowiślna 13a, 31-038 Kraków, Poland;1. Federal Technological University of Paraná, Av. Alberto Carazai, 86300-000 Cornélio Procópio, PR, Brazil;2. Department of Automation and Systems - Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil |
| Abstract: | This paper presents a case study on modelling and control of spatially interconnected systems. Considered is a vibration control problem, with experimental results on a flexible beam that is equipped with an array of piezo sensors and actuators. The sensor–actuator array induces a spatial discretization of the beam into an array of interconnected subsystems. Models are experimentally identified that have the structure of spatially interconnected systems. Based on the identified models, distributed control schemes are designed by solving a linear matrix inequality (LMI) problem that has the size of a single subsystem. Modelling and control is considered for both spatially invariant and spatially varying systems; in the latter case the system is represented as linear parameter-varying (LPV) system that is scheduled not over time but over space. Simulation and experimental closed-loop results demonstrate the practicality and efficiency of the underlying framework. |
| Keywords: | Spatially interconnected systems Linear parameter-varying systems Distributed control Distributed identification Distributed parameter systems |
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