Analytical Foundation
From mechanical dynamics to robotics
Although the applications were rooted in machining and
vibration, the underlying analytical methods are shared
broadly across dynamic systems, control, estimation,
and robotics.
DYNAMICS
State-Space Modeling
Multi-degree-of-freedom mechanical systems,
modal coordinates, state-space representations,
and numerical simulation of dynamic response.
STABILITY
Feedback & Pole Analysis
Delayed feedback, eigenvalue and pole analysis,
damping estimation, and dynamic-system stability.
ESTIMATION
System Identification
Estimating physical-system dynamics directly from
measured sensor data using correlation, spectral,
and modal-identification methods.
SIGNALS
Experimental Signal Processing
Vibration acquisition, filtering, PSD analysis,
correlation functions, modal extraction,
and validation against physical experiments.