University of Twente Student Theses
Plant and Controller Co-optimization for an Active Vibration Isolation System Using Convexified LMIs
Schrijver, G.H.W. (2023) Plant and Controller Co-optimization for an Active Vibration Isolation System Using Convexified LMIs.
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Abstract: | Simultaneous optimization of a plant and controller is generally a nonlinear problem. Several works have studied this problem, often resulting in an iterative approach. This paper investigates the plant and controller co-optimization for an active vibration isolation system and a power-constrained H2-optimal static state feedback controller by iterative use of convexified LMI formulations. Pole placement is considered through LMI regions and convexified LMI formulations are developed for pole placement within an origin-centered disc and the plane to the left of a vertical line. The simultaneous optimization problem shows to be sensitive to numerical instability. Input and output normalization, a balanced realization and pole placement are proposed for numerical conditioning of the optimization problem. A case study shows that improved closed-loop systems can be found but the numerical instability requires termination of the iterative algorithm before a stationary point in the co-optimization is found. |
Item Type: | Essay (Master) |
Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
Subject: | 50 technical science in general |
Programme: | Systems and Control MSc (60359) |
Link to this item: | https://purl.utwente.nl/essays/96384 |
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