Negative imaginary feedback control of satellite orbit dynamical model

Modeling Transverse Orbit Feedback Control

There are two objectives to this report. The first is to present a model, or mathematical representation, of transverse orbit feedback control in general. The second objective is to utilize this model as an analysis tool for the APS real-time feedback system (RTFS). A most important example is that the model quantitatively predicts the effect of adding more correctors to the RTFS. This and othe...

Feedback Control of Negative-Imaginary Systems: Large Flexible structures with colocated actuators and sensors

I. Highly resonant dynamics can severely degrade the performance of technological systems. Structural modes in machines and robots, ground and aerospace vehicles, and precision instrumentation, such as atomic force microscopes and optical systems, can limit the ability of control systems to achieve the desired performance. Consequently, control systems must be designed to suppress the effects o...

H∞ model reduction for negative imaginary systems

A biopsychosocial model based on negative feedback and control

Although the biopsychosocial model has been a popular topic of discussion for over four decades it has not had the traction in fields of research that might be expected of such an intuitively appealing idea. One reason for this might be the absence of an identified mechanism or a functional architecture that is authentically biopsychosocial. What is needed is a robust mechanism that is equally ...

On the analysis of a dynamical model representing gene regulatory networks under negative feedback

In this work, stability analysis is performed for a cyclic dynamical model of gene regulatory networks involving time delays, under negative feedback. The model considered has nonlinearities with negative Schwarzian derivatives. Sufficient conditions implying global stability of these types of GRNs are obtained. The special case of homogenous gene regulatory networks is also studied; in this ca...