This paper investigates the polytope associated with the classical standard linearization technique for the unconstrained optimization of multilinear polynomials in 0-1 variables. A new class of valid inequalities, called 2-links, is introduced to strengthen the LP relaxation of the standard linearization. The addition of the 2-links to the standard linearization inequalities provides a complet...

In this paper, the operational behavior of three-way Doherty amplifier loaded with harmonic control circuits is analyzed, including the efficiency and linearity. Amplifier is designed in configuration with two quarter-wave impedance transformers in the output combining circuit with LDMOSFETs in carrier and peaking amplifiers with the same periphery and in periphery relations 1:2.5:2.5. The sign...

Input{output linearization is a method that uses nonlinear state feedback control to obtain linear equations between the input and output of a nonlinear control system. Its success depends crucially on the ability of the control to steer the state across the level sets of the output function. It is clear that this is essentially a global geometrical problem. In this work, we present a lineariza...

And submitted in partial fulfillment of the requirement for the degree of Master of Applied science(mechanical engineering) Complies with the regulations of the university and meets the accepted standards with respct to originality and quality. Approved by Chair of department or graduate program director Dean of Faculty Date iii ABSTRACT The mathematical theories for linear systems provide a un...

A novel computational approach called “Local Statistical Linearization” (LSL) based on statistical equivalent linearization and Gaussian superposition has been introduced recently (4). The methodology allows to extend the concept of statistical equivalent linearization to proceed from estimates of the second moment properties of the stochastic response to estimates for the non-Gaussian probabil...

We propose a technique to generate nonprojective word orders in an efficient statistical linearization system. Our approach predicts liftings of edges in an unordered syntactic tree by means of a classifier, and uses a projective algorithm for tree linearization. We obtain statistically significant improvements on six typologically different languages: English, German, Dutch, Danish, Hungarian,...

In this note we explain how the normal form theorem established in [2] for analytic vector fields with a semisimple linearization enables to prove the existence of homoclinic connections to exponentially small periodic orbits for reversible analytic vector fields admitting a 0iω resonance where the linearization is precisely not semi simple.

This paper presents the design of feedback linearization and neural network based feedback linearization (NARMAL2) controller for a magnetic levitation system. The magnetic levitation system is one of the classical nonlinear systems. The paper provides simulation results to validate the theoretical design.

Let (A1, A2, B) be a triple of matrices representing two-order time-invariant linear systems, ẍ = A1ẋ+A2x+Bu. Using linearization process we study the controllability of second order linear systems. We obtain sufficient conditions for controllability and we analyze the kind of systems verifying these conditions. Key-Words: Two-order linear systems, linearization, feedback, controllability.

Mechatronics is the art of directing the advances of a variety of academic and engineering areas to solve the smart machine problems. Author Supervisor Summary Title Language Keywords Document type Date www.md.kth.se This thesis treats block-oriented modelling, approximate linearization and control of a nonlinear pneumatic actuator system. The definition of the block-oriented nonlinear model is...