Print Email Facebook Twitter Integrated topology and controller optimization using the Nyquist curve Title Integrated topology and controller optimization using the Nyquist curve Author Delissen, A.A.T.M. (TU Delft Computational Design and Mechanics) van Keulen, A. (TU Delft Mechanical, Maritime and Materials Engineering) Langelaar, Matthijs (TU Delft Computational Design and Mechanics) Faculty Mechanical, Maritime and Materials Engineering Date 2023 Abstract The design of high-performance mechatronic systems is very challenging, as it requires delicate balancing of system dynamics, the controller, and their closed-loop interaction. Topology optimization provides an automated way to obtain systems with superior performance, although extension to simultaneous optimization of both topology and controller has been limited. To allow for topology optimization of mechatronic systems for closed-loop performance, stability, and disturbance rejection (i.e. modulus margin), we introduce local approximations of the Nyquist curve using circles. These circular approximations enable simple geometrical constraints on the shape of the Nyquist curve, which is used to characterize the closed-loop performance. Additionally, a computationally efficient robust formulation is proposed for topology optimization of dynamic systems. Based on approximation of eigenmodes for perturbed designs, their dynamics can be described with sufficient accuracy for optimization, while preventing the usual threefold increase of additional computational effort. The designs optimized using the integrated approach have significantly better performance (up to 350% in terms of bandwidth) than sequentially optimized systems, where eigenfrequencies are first maximized and then the controller is tuned. The proposed approach enables new directions of integrated (topology) optimization, with effective control over the Nyquist curve and efficient implementation of the robust formulation. Subject Closed-loop performanceControl co-designLocal approximationPID feedback controlRobust formulationSISO To reference this document use: http://resolver.tudelft.nl/uuid:86345eef-470b-4c5a-8d3b-288f8e265079 DOI https://doi.org/10.1007/s00158-023-03515-x ISSN 1615-147X Source Structural and Multidisciplinary Optimization, 66 (4) Part of collection Institutional Repository Document type journal article Rights © 2023 A.A.T.M. Delissen, A. van Keulen, Matthijs Langelaar Files PDF s00158_023_03515_x.pdf 3.49 MB Close viewer /islandora/object/uuid:86345eef-470b-4c5a-8d3b-288f8e265079/datastream/OBJ/view