Control-based method to identify underlying delays of a nonlinear dynamical system.
We suggest several stationary state control-based delay identification methods which do not require any structural information about the controlled systems and are applicable to systems described by delayed ordinary differential equations. This proposed technique includes three steps: (i) driving a system to a steady state; (ii) perturbing the control signal for shifting the steady state; and (iii) identifying all delays by detecting the time that the system is abruptly drawn out of stationarity. Some aspects especially important for applications are discussed as well, including interaction delay identification, stationary state convergence speed, performance comparison, and the influence of noise on delay identification. Several examples are presented to illustrate the reliability and robustness of all delay identification methods suggested.
Yu
Dongchuan
D
College of Automation Engineering, Qingdao University, Qingdao, Shandong 266071, China. dongchuanyu@yahoo.com
Frasca
Mattia
M
Liu
Fang
F