Closed-loop delta-operator-based subspace identification for continuous-time systems utilising the parity space

2021 ◽  
pp. 1-12
Author(s):  
Miao Yu ◽  
Ge Guo ◽  
Jianchang Liu
Keyword(s):  
Continuous Time ◽  
Closed Loop ◽  
Delta Operator ◽  
Subspace Identification ◽  
Continuous Time Systems ◽  
Parity Space ◽  
Time Systems

Delta-operator formulated discrete-time approximations of continuous-time systems

1994 ◽  
Vol 39 (3) ◽  
pp. 581-585 ◽  
Author(s):  
K. Premaratne ◽  
R. Salvi ◽  
N.R. Habib ◽  
J.P. LeGall
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Delta Operator ◽  
Continuous Time Systems ◽  
Time Systems

scholarly journals Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14
Author(s):  
Abimael Salcedo ◽  
Joaquin Alvarez
Keyword(s):  
Continuous Time ◽  
Closed Loop ◽  
Equilibrium Points ◽  
Nonlinear Function ◽  
Loop System ◽  
Closed Loop System ◽  
First Order ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Order Continuous

A technique to generate (periodic or nonperiodic) oscillations systematically in first-order, continuous-time systems via a nonlinear function of the state, delayed by a certain time d, is proposed. This technique consists in choosing a nonlinear function of the delayed state with some passivity properties, tuning a gain to ensure that all the equilibrium points of the closed-loop system be unstable, and then imposing conditions on the closed-loop system to be semipassive. We include several typical examples to illustrate the effectiveness of the proposed technique, with which we can generate a great variety of chaotic attractors. We also include a physical example built with a simple electronic circuit that, after applying the proposed technique, displays a similar behavior to the logistic map.

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