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Local Nonlinear Control of Stall Inception in Axial Flow Compressors
(1993)
A combination of theoretical and computational nonlinear analysis techniques are used to study the scenario of bifurcations responsible for the initiation of rotating stall in an axial flow compressor model. It is found ...
Families of Liapunov Functions for Nonlinear Systems in Critical Cases
(1990)
Liapunov functions are constructed for nonlinear systems of ordinary differential equations whose linearized system at an equilibrium point possesses either a simple zero eigenvalue or a complex conjugate pair of simple, ...
Robust Stability of Complex Families of Matrices and Polynomials
(1990)
Recently, the authors introduced the "guardian map" approach as a unifying tool in the study of robust generalized stability questions for marametrized families of matrices and polynomials. Real matrices and polynomials ...
Bifurcation Analysis of Surge and Rotating Stall in Axial Flow Compressors
(1990)
In this paper, the surge and rotating stall post instability behaviors of anial flow compressors are investigated from a bifurcation-theoretic perspective. A sequence of local and global bifurcations of the nonlinear system ...
Nonlinear Stabilization of High Angle-of-Attack Flight Dynamics Using Bifurcation Control
(1990)
We consider the problem of designing stabilizing control laws for flight over a broad range of angles-of-attack which also serve to signal the pilot of impending stall. The paper employs bifurcation stabilization coupled ...
Nonlinear Modeling of Gated Range Tracker Dynamics
(1990)
Nonlinear dynamic models for gated radar range trackers are developed and applied to the range resolution problem. Two common types of tracking loop dynamics, as well as the automatic gain control (AGC), are accounted for ...
Active Stabilization of Rotating Stall: A Bifurcation-Theoretic Approach
(1992)
Active control of the onset of stall instabilities in axial flow compressors is pursued using bifurcation analysis of a dynamical model proposed by Moore and Greitzer (1986). This model consists of three ordinary differential ...
Bifurcation Analysis of Nonuniform Flow Patterns in Axial-Flow Gas Compressors
(1992)
We study the transition from steady, spatially uniform-flow to nonuniform and time-dependent gas axial velocity profiles in an axial flow compression system. Local bifurcation analysis of the uniform-flow solution reveals ...
Control of Nonlinear Phenomena at the Inception of Voltage Collapse
(1993)
Nonlinear Phenomena, including bifurcations and chaos, occurring in power system models exhibiting voltage collapse have been the subject of several recent studies. These nonlinear phenomena have been determined to be ...
Feedback Control of Bifurcation and Chaos in Dynamical Systems
(1993)
Feedback control of bifurcation and chaos in nonlinear dynamical systems is discussed. The article summarizes some of the recent work in this area, including both theory and applications. Stabilization of period doubling ...