On the moment dynamics of stochastically delayed linear control systems
| Autor: | Mehdi Sadeghpour, Gábor Orosz, Henrik T Sykora, Jin I. Ge, Daniel Bachrathy |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Stationary distribution Dynamical systems theory Mechanical Engineering General Chemical Engineering Linear system Biomedical Engineering Linear control systems Aerospace Engineering 02 engineering and technology Industrial and Manufacturing Engineering Stability conditions 020901 industrial engineering & automation Control and Systems Engineering Robustness (computer science) 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing Electrical and Electronic Engineering Mathematics |
| Zdroj: | International Journal of Robust and Nonlinear Control. 30:8074-8097 |
| ISSN: | 1099-1239 1049-8923 |
| DOI: | 10.1002/rnc.5218 |
| Popis: | In this article, the dynamics and stability of a linear system with stochastic delay and additive noise are investigated. It is assumed that the delay value is sampled periodically from a stationary distribution. A semi-discretization technique is used to time-discretize the system and derive the mean and second-moment dynamics. These dynamics are used to obtain the stationary moments and the corresponding necessary and sufficient stability conditions. The application of the proposed method is illustrated through the analysis of the Hayes equation with stochastic delay and additive noise. The method is also applied to the control design of a connected automated vehicle. These examples illuminate the effects of stochastic delays on the robustness of dynamical systems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text