This paper presents a linear transformation for low order nonlinear autonomous differential equations. The procedure consists of a trajectory-based local linearization, which approximates the nonlinear system in the neighborhood of its equilibria. The approximation is possible even in the non-hyperbolic case which is of a particular interest. The linear system is derived using an L2 norm optimi...

Diesel engine is a complex nonlinear system. In view of the uncertainty model in process linearization diesel and insufficient robustness existing PID controller, robust control theory applied to speed engine. Firstly, quasi-steady state locally linearized establish its space model. Then, by analyzing stability under friction torque uncertainty, H∞ controller established, law finally obtained s...

Electrocardiogram (ECG) is a non-invasive tool that monitors the electrical activity of the heart. An ECG signal is highly prone to the disturbances such as noise contamination, artifacts and other signals interference. So, an ECG signal has to be de-noised so that the distortions can be eliminated from the original signal for the perfect diagnosing of the condition and performance of the heart...

Maneuver Regulation, Transverse Feedback Linearization and Zero Dynamics Christopher Nielsen Masters of Applied Science Graduate Department of Electrical and Computer Engineering University of Toronto 2004 The maneuver regulation (or path following) problem has received considerable attention in the control literature where feedback linearization has proven an effective approach to solving the ...

We propose a new iterative scheme to compute the numerical solution an over-determined boundary value problem for general quasilinear elliptic PDE. The main idea is repeatedly solve its linearization by using quasi-reversibility method with suitable Carleman weight function. presence of function allows us employ estimate prove convergence sequence generated above desired solution. iteration fas...

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...

Extended linearization is the process of factoring a nonlinear system into a linear-like structure x = A(x)x + B(x)u which contains state-dependent coefficient (SDC) matrices. An extended linearization control technique is any technique which (a) treats the SDC matrices A(z) and B(x ) as being constant and (b) uses a linear control synthesis method on the linear-like structure to produce a clos...

This research deals to introduce a new method for generalizing the well-famed Quantitative Feedback Theory (QFT) in granting robustness of Feedback linearization on nonlinear systems. In this new scheme, first applying feedback linearization, with selecting operating points in domain of system parameter's variations, nonlinear systems replaced with linear systems, then robust controller is desi...

The problem of multi-objective robust feedback linearization controller design of nonlinear system with parametric uncertainties is solved in this paper. The main objective of this paper is to propose an optimal technique to design a robust feedback linearization controller with multi-objective genetic algorithm. A nonlinear system is considered as a benchmark and feedback linearization control...