Implementation of delayed output feedback for linear systems with multiple input delays

Delayed output feedback of discrete‐time time‐delay systems with applications to spacecraft rendezvous

“…Some remarks on the results given in Theorems 1 and 2 are given in order. Remark 1 As mentioned in [25], DOF controllers for continuous‐time systems contain distributed delay terms, which must be implemented by using the numerical integration method and the resulting closed‐loop system may become unstable. Such an implementation problem does not exist in the DOF for discrete‐time systems since the distributed delay terms are replaced by summation terms that can be implemented directly. Remark 2 Notice that if ( G,H ) is controllable, F can be well designed such that has desired eigenstructures rather than eigenvalues. Remark 3 In both Theorems 1 and 2, the delayed outputs are utilised for feedback.…”

“…Since the DOF controller contains distributed delay terms, the numerical implementation of the controller may lead to instability of the whole closed‐loop system. In our recent work [25], motivated by existing results on numerical implementation of conventional predictor feedback for time‐delay systems [26], a safe implementation method of the DOF by introducing a generalised low‐pass filter in the control loop was established.…”

Bounded control of feedforward time‐delay systems with linearized systems consisting of chain of oscillators

“…For this reason, research interest on these two topics has increased over the past two decades. [3][4][5][6][7][8][9] Among the problems studied, an important fundamental problem is the global stabilization of control systems with bounded and/or delayed controls. [10][11][12][13] For the global stabilization of multiple integrators systems by bounded controls, the results in the work of Sussmann and Yang 14 have shown that linear feedback is only valid if the dimension is smaller than three.…”

“…Ignoring time delays/constraints in the design of circuits and systems will degrade the system performances and may even lead to instability. For this reason, research interest on these two topics has increased over the past two decades . Among the problems studied, an important fundamental problem is the global stabilization of control systems with bounded and/or delayed controls .…”

PID damper design for wide‐area power systems considering time delays

“…4,5 The presence of time delays makes the stability analysis and the systems stabilization hard in both mathematics and practice. 6 Under non-negligible time delays, in order to obtain an expected damping effect by conventional non-delay control techniques, additional processing should be conducted to offset the time delay's negative effect first. In frequency domain, the transfer function of a time delay in exponential form can be transformed into a rational expression by Pade approximation, 7 which is compatible with the linearized model of a power system.…”