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This technical note considers the problem of reducing the computational complexity associated with the Sum-of-Squares approach to stability analysis of time-delay systems. Specifically, this technical note considers systems with a large state-space but where delays affect only certain parts of the system. This yields a coefficient matrix of the delayed state with low rank-a common scenario in practice...
In this paper, the Thompson's canonical form for a regular and singular matrix pencil of complex matrices with symmetric and skew symmetric structural properties is introduced for the solution of linear and time invariant (LTI) matrix homogeneous descriptor discrete time system with consistent initial conditions and time delay. Under this approach, the main equation is divided into several sub-systems...
There exist significant time delays in the data of phasor measurement unit (PMU) and wide-area measurement system (WAMS). To properly evaluate the impact of time delay is very important for power system online stability assessment and controller design. In this paper, the maximum delayed time that power system can sustain without losing its stability is denoted as its delay margin. From the viewpoint...
First Internet based teleoperation system structure and time delay is described. And then two network delay regulators are added to eliminate delay jittering and disturbance. At last two compensators are designed based on dynamic matrix control algorithm. Simulation results have shown that the new control scheme can improve dynamic performance of the system and maintain the stability of the control...
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