Discretisation method and stability criteria for non-linear systems under discrete-time time delay control

Modeling and experimental validation of hybrid proton exchange membrane fuel cell/battery system for power management control

“…The reference model is defined as _ x m ðtÞ ¼ A m x m ðtÞ þ B m rðtÞ (20) where x m (t), r(t), A m , and B m , denote the reference model state variables, input vector, system matrix and input matrix, respectively.…”

“…[12,15], and the stability of the time delay system can be verified through Pade approximation [15] or discretization method [20].…”

“…This paper is based on the discretization method, using model consistency and Lyapunov function to cope with the stability [20]. The stability criteria are described by the following inequality conditions [20]:…”

“…They are expressed as where abovementioned parameters and matrices are detailed explained in Ref. [20]. Finally, based on the presented system and TDC controller, the ranges of estimated pseudo inverse of input matrices of B …”

Time-Delayed Control for a Class of EL Systems with Only Position Feedback

“…Yet again, the choice of the time-delay value, i.e., sampling time, for TDE-based controllers and its effect on the stability of the system are important issues. The authors in [30], [31] report the choice of sampling time and the corresponding stability analysis in discrete time domain. However, all the reported TDE based controllers [17]- [26], [28] select the controller gains and the delay value independently which is conservative in nature, and the impact of such selections on the overall system stability has not been sufficiently analyzed in the continuous-time domain.…”