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BIFURCATION TAILORING OF NONLINEAR SYSTEMS
Xiao Fan Wang1,2,3, M. Di Bernardo2, M. H. Lowenberg1, D. P. Stoten3, G. Charles1,2,3
1 Department of Aerospace Engineering, University of Bristol, Bristol, BS8 1TR, UK
2 Department of Engineering Mathematics, University of Bristol, Bristol, BS8 1TR, UK
3 Department of Mechanical Engineering, University of Bristol, Bristol, BS8 1TR, UK
We discuss a novel approach to control bifurcations in nonlinear systems. The aim of bifurcation tailoring is to design an appropriate control law such that the controlled system has a desired bifurcation diagram. After describing two open-loop bifurcation tailoring techniques, this paper proposes two alternative modified bifurcation tailoring methods based on the use of the Newton-flow algorithm and the so-called Minimal Control Synthesis adaptive control strategy. The novel technique is applied to the Duffing system as an illustration example.
Keywords: Bifurcation; Open-loop control; Adaptive control; Nonlinear system
Session slot T-We-A21: Posters of Nonlinear Systems/Area code 2c : Non-linear Systems
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