A combined iterative scheme for identification and control redesigns. (English) Zbl 1055.93027
Summary: This work proposes a unified algorithm for identification and control. Frequency domain data of the plant is weighted to satisfy the given performance specifications. A model is then identified from this weighted frequency domain data and a controller is synthesised using the \(\mathcal H_{\infty}\) loopshaping design procedure. The cost function used in the identification stage essentially minimizes a tight upper bound on the difference between the achieved and the designed performance in the sense of the \(\mathcal H_{\infty}\) loopshaping design paradigm. Given a model, a method is also suggested to re-adjust model and weighting transfer functions to reduce further the worst case chordal distance between the weighted true plant and the model.
MSC:
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
| 93B30 | System identification |
Keywords:
joint identification and control; \(\nu\)-gap metric; identification for control; \(\mathcal H_{\infty}\) loopshapingReferences:
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