In this study, singular vector analysis was performed for the period from 1856 to 2003 using the latest Zebiak–Cane model version LDEO5. The singular vector, representing the optimal growth pattern of initial perturbations/errors, was obtained by perturbing the constructed tangent linear model of the Zebiak–Cane model. Variations in the singular vector and singular value, as a function of initi...

This paper is concerned with a robust instability analysis for the single-input-single-output unstable linear time-invariant (LTI) system under dynamic perturbations. The nominal itself possibly perturbed by static gain of uncertainty, which would be case when nonlinear uncertain linearized around an equilibrium point. We define radius as smallest H ∞ norm stable perturbation that stabilizes sy...

This note investigates robustness of linear periodically time varying (LPTV) control of discrete linear time invariant (LTI) plants subject to LTI unstructured perturbations. The note first derives a necessary and sufficient condition for robust stability of an LPTV system subject to LTI perturbations, which is less conservative than the well known small gain condition. It then presents a quant...

In this paper, real time implementation of PI and PID controllers is Investigated for stabilizing an arbitrary-order plant or system. Simple closed loop feedback ,PI controller can overcome all the problems of uncertainties like time delay in LTI (Linear Time Invariant) system.This paper will give us an implortant alogorithm to be imlemented in MATLAB for achieving the robust stability in LTI p...

In this paper robust PID control of fully-constrained cable driven parallel manipulators with elastic cables is studied in detail. In dynamic analysis, it is assumed that the dominant dynamics of cable can be approximated by linear axial spring. To develop the idea of control for cable robots with elastic cables, a robust PID control for cable driven robots with ideal rigid cables is firstly de...

So just what is a Linear Time-Invariant (LTI) system, and why should you care? Systems are used to perform signal processing. The effect of a system on the spectrum of a signal can be analyzed easily if and only if the system is LTI, as we will see in these notes. The ability to design a filter to perform a specific signal processing task (e.g., filter out noise, differentiate, equalize frequen...

in this paper, we investigate a singular perturbation problem including a fourth order o.d.e. with general linear boundary conditions. firstly, we obtain the necessary conditions of solution of o.d.e. by making use of fundamental solution, then by compatibility of these conditions with boundary conditions, we determine that, for given perturbation problem, whether boundary layer is formed or not.