The solution of a case study problem suspended payload sway damping by moving pivot base in vertical direction is presented. Unlike for the classical anti-sway control horizontal direction, implemented e.g. cranes, direct using feedback theory linear systems not possible. Once model linearized, it becomes uncontrollable. Thus, derivation nonlinear controller needed to solve task. In this contex...

The following major aspects of the problem of Input–Output Triangular Decoupling (TD) for general neutral multi–delay systems, via proportional realizable state feedback, are resolved for the first time: The necessary and sufficient conditions for the problem to have a realizable solution and the general analytical expressions of the proportional realizable TD controller matrices. The condition...

The existing TCP protocols contribute to the stability of the Internet by deploying window-based additive-increase multiplicative-decrease (AIMD) congestion control. However, the window-based congestion control is not favorable in the existence of long propagation delay and for real-time multimedia traffic. Thus, the rate-based congestion control has become an attractive alternative for the lin...

Here we deal with the stabilisation problem of non-diagonal systems by boundary control. In studied setting, control input is subject to a constant delay. We use spectral decomposition method and split system into two components: an unstable stable one. To stabilise part system, connect, for first time in literature, famous backstepping design technique direct-proportional design. More precisel...

This paper studies the traffic allocation in multi-path routing in consideration of the strict requirement for delay variation in the real-time applications. Firstly, the queuing delay is analyzed based on network calculus and the upper bounds of end-to-end delay and its variation in all paths are deduced. Then the transfer rate of data flowing into each path should be used as constraint for sa...

In this paper a design of an observer for Lipschitz nonlinear systems in the presence of time-varying delay in outputs measurements is proposed. The structure of the proposed observer is based on the presence of a proportional integral term which permits the compensation of delay in the measurements outputs. The observer gain is a function of the maximum bound of the delay, the parameters of th...

This article deals with the proportional–integral observer (PIO) design problem for a class of linear systems distributed time delays and randomly occurring parameter uncertainties. The measurement signals, transmitted from sensors to observer, might suffer deception attacks. random occurrences uncertainties attacks are governed by two series Bernoulli variables known probability distributions....

In this paper, we propose a solution for the stabilizing problem of second order delay plant by Proportional-Integral (PI) controller. An extension of the Hermite-Biehler theorem, which is applicable to quasipolynomials, is used to seek the stability region of the controller and the computation of its optimum parameters via Genetic Algorithms. Moreover we compare the stabilities regions and dif...

In this work, we successfully extended one-dimensional differential transform method (DTM), by presenting and proving some theorems, to solving nonlinear high-order multi-pantograph equations. This technique provides a sequence of functions which converges to the exact solution of the problem. Some examples are given to demonstrate the validity and applicability of the present method and a comp...

In this paper, we consider a differential–algebraic biological economic system with time delay and harvesting where the dynamics is logistic with the carrying capacity proportional to prey population. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the differential–algebraic biological economic system based on the normal form approach...