Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 27, Issue 11-12, Pages 1250-1264Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546320939836
Keywords
H-infinity feedback control; sensor and actuator selection; active vibration control of a smart structure; seismic isolation of a large building
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Funding
- Flanders Make project: SBO ROCSIS: Robust and Optimal Control for Systems of Interacting Subsystems
- KU Leuven [C14/15/067]
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This article presents a combined H-infinity feedback control design for linear time-invariant and linear parameter-varying systems, along with optimal sensors and actuator selection. The approach systematically constructs the combined design problem as a mixed Boolean semidefinite programming optimization problem, achieving faster computation time compared to other methods. Validation through simulations demonstrates the effectiveness of the developed approach in controller synthesis.
This article demonstrates a combined H-infinity feedback control design for linear time-invariant and linear parameter-varying systems and optimal sensors and actuator selection. The combined design problem is systematically constructed as a mixed Boolean semidefinite programming optimization problem. We impose Big-M reformulations to the non-deterministic polynomial-time-hard coupled problem to be solved as a convex optimization problem using the branch and bound algorithm. The combined design of dynamic output feedback control along with optimal actuator selection for a linear time-invariant seismic rejection controller design serves as an application for validation by simulation. In addition, active vibration control of a smart composite plate along with optimal sensor and actuator selection validates the developed approach for linear parameter-varying controller synthesis. On comparing this approach with exhaustive search, it is observed that mixed Boolean semidefinite programming approaches have faster computation time, and comparing with the iterative reweighted l(1) norm algorithm and mixed Boolean semidefinite programming using outer approximations, mixed Boolean semidefinite programming yields a global solution.
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