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It is well known that control of PDEs with input delay is just opening up for research. This paper presents boundary control design and stabilization for a reaction-diffusion PDE with diffusion coefficients depending on space variable and input time delay. The control design involves an interesting structure of two interconnected PDEs to transfer the input time delay into a space extension. And the...
In communication channel of a tele-operation control task, there always exists a time-delay problem which causes poor performance and even instability of the system. To overcome the time-delay problem, in this paper, the Smith predictor configuration is considered. The Smith predictor can stabilize the system by taking the time delay term out of the characteristic equation when the system model is...
Active Magnetic Bearing (AMB) system has been used in higher rotating speed and higher precision rotor system, the influence of time-delay can't be neglected. The focus of this paper is presents the influence and demonstration of the system time delay effects on AMB system that has been usually disregarded. Then, we present both explicit formulas and numerical solutions to determine the maximum delay...
The paper covers the problem involving the consequences of omitting to model the prehistory of dead time elements in control system modelling. It is shown that this omission is equivalent to the action of disturbances that can cause different effects, ranged from simple calculus differences to loss of stability. For this purpose three case studies are presented: a linear control system, a state feedback...
This paper proposes a networked sliding mode controller for servomechanical systems. Asymptotic stability is analyzed. Saturation function is used to eliminate chattering. Sensitivity of the zero eigenvalue with respect to the gain of the saturation function in linear interval is analyzed. Conditions for the choice of the gain and time delay are proposed. Simulations are conducted to verify the theoretical...
This paper studies how to design a congestion controller in TCP/AQM networks. In Hollot et al. (IEEE Trans. on Automatic Control, Vol. 47, No.6, 2002), the congestion controller is conservatively designed due to using the linearized model of the TCP/AQM networks in which a structured time-delay related term is treated as an unstructured uncertainty. Without treating any time-delay related term as...
We present sufficient conditions for robust relay delayed semiglobal stabilization of second order systems, which relate the upper bound to an uncertain time delay and the parameters of the plant. We also suggest an algorithm of delayed relay control gain adaptation for semiglobal stabilization, which is based on delayed information about the sign of the controlled variable only. The proposed algorithm...
Due to the bandwidth constraint, the network inevitably induces time delay in the Internet-based control system, which will affect the performance of Internet-based closed-loop control systems such as performance degradation and system destabilization. The variable-rate sampling strategy is proposed based on the proposed dual closed-loops control architecture to overcome the uncertain transmission...
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