Design and dynamics analysis of a time-delay feedback controller with distributed characteristic

At present, some control strategies have been applied to bifurcation control, but these control strategies are flawed. For instance, some new equilibrium are likely to emerge in the controlled system by the state feedback control and proportional-derivative control. The time-delay feedback control and hybrid control may force the controlled system to have discontinuous stable intervals. In consideration of these defects, this article is the first to design a time-delay feedback control strategy with distributed characteristics. The designed controller may not only remain the invariance of the quantity and position of equilibriums, but also ensure the continuity of stability intervals on the controlled system. It is observed that under the specific control parameters, the designed controller can be weakened to the state feedback controller. The bifurcation threshold of the controlled object can be effectively improved. Finally, numerical simulation results verify the validity of the designed controller and illustrate the variations of dynamic performance for the controlled object. Some comparative experiments are directly rendered to reveal the superiority of the designed control strategy.