A novel approach for designing a feedback controller of linear time invariant networked control systems with delayed-transmission time

Abstract

This paper investigates the problem of stabilization processes of networked control systems (NCSs) with delayed-transmission time. The investigation deals with control problem of linear time invariant (LTI) of NCSs when the plant and the controller belong to the same network. Long time delays due to the transmission element may degrade and destroy the stability of a networked control system. To overcome this problem new exact and novel approach is analytically obtained and the delay elements in system variables have been augmented and moved to the systems parameters. An output control feedback is introduced for designing a controller based on using the same conventional control technique in the literature. A design procedure for stabilizing the linearized model of Ness involving a time delay based on the alternative generalized model is introduced. As a result, the effect of the delay factor is completely eliminated from the system's variables and moved to the systems parameters. The design procedure of the controller that moves the finite eigenvalues of the system to arbitrary locations simultaneously is carried out in a manner similar to those obtained for non-delayed conventional state space systems. The coefficients of the feedback control law can be easily evaluated which makes it possible to update the controller's parameters on-line with the change of the operating point. It is shown that the non-delayed ordinary state space systems appear as special cases of the present work when the delay elements vanish. To support and illustrate the effectiveness and usefulness of the work presented for the proposed technique an example based on the transformed model derived in this work is introduced.