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This article studies second-order linear time-invariant (LTI) systems with two delays, with the main objective to increase the stable operating regions of such systems in the parameter space of the two delays. While tools exist to reveal stability regions, a more direct and transparent mathematical approach to systematically enlarge these regions by manipulating certain system parameters is desirable...
This paper deals with LPV (Linear Parameter Varying) eigenstructure assignment in BTT (bank to turn) missile attitude control using state feedback. Based on general Sylvester equations with varying coefficients, very simple parametric expressions in direct closed forms for both the closed-loop eigenvector matrix and the feedback gains are established in terms of the closed-loop eigenvalues and a group...
The Kuramoto-Sivashinsky equation is a nonlinear partial differential equation that models reaction-diffusion systems. The stability of the equilibria depends on the value of a positive parameter; the set of all constant equilibria are unstable when the instability parameter is less than 1. Stabilization of the Kuramoto-Sivashinsky equation using scalar output-feedback control is considered in this...
We present two different design methodologies to solve the problem of output regulation for linear systems subject to input saturation. We deal with stabilizable systems whose dynamic matrix has all its eigenvalues with non-positive real part, namely asymptotic null-controllable systems, and study both the state feedback and the error feedback case. The solutions we present are global with respect...
This paper presents a speed control strategy for the torsional vibration systems. A state feedback control law using an integrator is designed. The pole-placement controller and integral of time multiplied by absolute error (ITAE) is used to assign closed-loop poles of the system characteristic equation. The simulation results are show to verify good performance obtained using the proposed controller.
This work presents a framework for control of spatially distributed systems modeled by nonlinear highly-dissipative partial differential equations (PDEs) over communication networks. The framework aims to enforce closed-loop stability with minimal sensor-controller information transfer over the network. To this end, an approximate finite-dimensional model that captures the PDE's slow dynamics is used...
This paper considers the stability and constrained stabilization of dynamic systems described by second or higher order vector differential equations. Such systems arise in various applications including electromechanical systems, aerodynamics, structural analysis, robotics and vibration systems, in which the stabilization and improved performance play a crucial role. Due to the fact that the coefficient...
In this paper, we investigate the stability problems and control issues that occur in a reversed-field pinch (RFP) device, EXTRAP-T2R (T2R), used for research in fusion plasma physics and general plasma (ionized gas) dynamics. The plant exhibits, among other things, magnetohydrodynamic instabilities known as resistive-wall modes (RWMs), growing on a time-scale set by a surrounding non-perfectly conducting...
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