access icon free Controller synthesis for negative imaginary systems: a data driven approach

© The Institution of Engineering and Technology
Received 30/07/2015, Accepted 25/12/2015, Revised 08/11/2015, Published 08/08/2016

The negative imaginary (NI) property occurs in many important applications. For instance, flexible structure systems with collocated force actuators and position sensors can be modelled as negative imaginary systems. In this study, a data-driven controller synthesis methodology for NI systems is presented. In this approach, measured frequency response data of the plant is used to construct the controller frequency response at every frequency by minimising a cost function. Then, this controller response is used to identify the controller transfer function using system identification methods.

Inspec keywords: flexible structures; actuators; control system synthesis; force sensors; transfer functions; minimisation; identification; frequency response

Other keywords: negative imaginary systems; data-driven controller synthesis methodology; data driven approach; controller transfer function; flexible structure systems; position sensors; controller frequency response; controller synthesis; frequency response data; collocated force actuators; NI property; system identification methods

Subjects: Control system analysis and synthesis methods; Actuating and final control devices; Optimisation techniques; Multivariable control systems; Simulation, modelling and identification; Distributed parameter control systems

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