Local feedback stabilization and bifurcation control, I. Hopf bifurcation
Systems & Control Letters
Local feedback stabilization and bifurcation control, II. Stationary bifurcation
Systems & Control Letters
Bifurcation analysis of axial flow compressor stability
SIAM Journal on Applied Mathematics
Rotating stall control via bifurcation stabilization
Automatica (Journal of IFAC)
Bifurcation Stabilization with Local Output Feedback
SIAM Journal on Control and Optimization
Bifurcation Control via State Feedback for Systems with a Single Uncontrollable Mode
SIAM Journal on Control and Optimization
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Local robustness of Hopf bifurcation stabilization
IEEE Transactions on Circuits and Systems II: Express Briefs
| Hi-index | 22.14 |
Local L"2 gain analysis of a class of stabilizing controllers for nonlinear systems with both stationary and Hopf bifurcations is studied. In particular, a family of Lyapunov functions is first constructed for the corresponding critical system, and simplified sufficient conditions to compute the L"2 gain are derived by solving the Hamilton-Jacobi-Bellman (HJB) inequalities. Local robust analysis for a class of bifurcation stabilizing controllers can then be conducted through computing the local L"2 gain achieved by these controllers at the critical situation. The results obtained in this paper provide useful guidance for selecting a robust controller from a given class of stabilizing controllers in terms of L"2 gain. As an example, application to an axial flow compressor control is discussed in detail.