In the first part of the talk a unified approach to adaptive control of periodic and chaotic oscillations in nonlinear continuous-time systems is presented. Stability and robustness issues both for general case and for Hamiltonian systems are addressed. Then multigoal and constrained problems are considered.
Special attention is paid to the problem of controlling and synchronizing chaos.
The second part of the talk is devoted to examination and extension of the so called OGY method of controlling chaos. The obtained control algorithms solve the tracking problem for the recurrent trajectories under bounded disturbances. A.L.Fradkov, Swinging control of nonlinear oscillations. A.L. Fradkov, A.Yu. A.L. Fradkov, A.Yu.