Stability Analysis of Uncertain Systems Using Singular Value Decomposition-Based Stability Metric  
Author Young Kap Son


Co-Author(s) Gordon J. Savage


Abstract The stability of dynamic systems is important for satisfactory performance, safety and reliability. The study becomes more difficult when the system is nonlinear and when the ever present uncertainties in the components are considered. Herein a new approach is presented that uses time-domain information: It invokes design of experiments, computer simulation of the dynamics to generate a matrix of discrete time responses that presents the variability of the response, and finally, singular value decomposition to separate out parameter and time information: values in the first few left singular vectors predicts any instability that might occur over the complete life-time of the system. The key to the approach is the introduction of random variables and subsequent statistical operations. A real-world example and comparison to established methods show the efficacy of the approach.


Keywords Dynamic systems, Stability, Singular Value Decomposition, Design of Experiments, Stability metric
    Article #:  2127
Proceedings of the 21st ISSAT International Conference on Reliability and Quality in Design
August 6-8, 2015 - Philadelphia, Pennsylvia, U.S.A.