This paper presents a reduced-order H∞ optimal control for wind energy conversion systems. Two different timescale (slow and fast) dynamics of wind energy conversion systems are separated and processed independently using the singular perturbation theory. By using the decomposition technique, low-order, independent H∞ optimal filters and controllers are obtained, which provide computational adv...

We investigate linear stability of solitary waves of a Hamiltonian system. Unlike weakly nonlinear water wave models, the physical system considered here is nonlinearly dispersive, and contains nonlinearity in its highest derivative term. This results in more detailed asymptotic analysis of the eigenvalue problem in presence of a large parameter. Combining the technique of singular perturbation...

In this paper, a slimple linear high-gain integral-derivative observer is presented based on singular perturbation technique. The proposed integral-derivative observer can estimate synchronously the multiple integrals and derivatives of a signal. The merits of the presented integralderivative observer include its synchronous estimation of integrals and derivatives, simple implementation, suffic...

This paper is concerned with the order reduction of controllers produced by μ-synthesis controller design paradigm. A new proof has been proposed for the additive perturbation reduction technique with sufficient conditions to guarantee the closed loop structured singular value to remain less than unity. Reduction of unstable controllers is achieved through a new coprime factor reduction techniq...

In this paper, a homotopy perturbation method (HPM) and modified homotopy perturbation (MHPM) are proposed to solve singular integral equation with generalized Abel's kernel.

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...

in this note‎, ‎we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique‎. ‎our results are similar to some inequalities shown by bhatia and kittaneh in [linear algebra appl‎. ‎308 (2000) 203-211] and [linear algebra appl‎. ‎428 (2008) 2177-2191]‎.

The classical perturbation theory for Hermitian matrix eigenvalue and singular value problems provides bounds on the absolute differences between approximate eigenvalues (singular values) and the true eigenvalues (singular values) of a matrix. These bounds may be bad news for small eigenvalues (singular values), which thereby suffer worse relative uncertainty than large ones. However, there are...