Determination of Gain and Phase Margins in Lur’e Nonlinear Systems using Extended Circle Criterion

Nyquist plots, finite gain/phase margins & dissipativity

The relation between the small gain theorem and ‘infinite phase margin’ is classical; in this paper we formulate a novel supply rate, called the ‘not-out-of-phase’ supply rate, to first prove that ‘infinite gain margin’ (i.e. non-intersection of the Nyquist plot of a transfer function and the negative half of the real axis) is equivalent to dissipativity with respect to this supply rate. Captur...

A New Near Optimal High Gain Controller For The Non-Minimum Phase Affine Nonlinear Systems

In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...

The Study of Nonlinear Dynamical Systems Nuclear Fission Using Hurwitz Criterion

In this paper, the nonlinear dynamic system of equations, a type of nuclear ssion reactor is solved analytically and numerically. Considering that the direct solution of three-dimensional dynamical systems analysis and more in order to determine the stability and instability, in terms of algebraicsystems is dicult. Using certain situations in mathematics called Hurwitz criterion, Necessary and ...

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method

Extended Circle Criterion: Stable Fuzzy Control of a Milling Process

In this work, the Extended Circle Criterion and fuzzy approaches are combined to develop a practical technique for checking stability of Fuzzy Control Systems (FCS). The controller is designed on the basis of skilled operator criteria and engineering knowledge about the process. Afterwards, stability is verified by means of the so-called Extended Circle Criterion, under the assumption that the ...

determination of olanzapine and thiourea using electrodes modified by dna and film of copper-cobalt hexacyanoferrate & investigation of electro-oxidation of some catechol derivatives in the presence of 4-phenylsemicarbazid

چکیده هدف از این کار بررسی الکترواکسیداسیون کتکول و مشتقات آن در حضور 4-فنیل سمی کاربامازید بوده است اکسیداسیون کتکولها ترکیبات نا پایدار کینونها را تولید می کنند که این ترکیبات می تواند در واکنش مایکل بعنوان پذیرنده نوکلئوفیل عمل نمایند. در ادامه اکسایش کتکولهای (a-c1) را درحضور 4-فنیل سمی کاربامازید در محلول آب/استونیتریل (90/10)بوسیله ولتامتری چرخه ای و کولن متری در پتانسیل ثابت مورد بررسی ...