Background. Gas turbines are highly nonlinear systems, where the widely applied linear controllers based on locally linearized models are of limited use. Method of approach. A simple nonlinear dynamic model is developed that is in a quasi-polynomial form. Nonlinear stability and zero dynamics analysis is applied to find a controller structure for input-output linearization. Results. The estimat...

This paper concentrates on the solution of state feedback exact linearization zero steady-state error optimal control problem for nonlinear systems affected by external disturbances. Firstly, the nonlinear system model with external disturbances is converted to quasi-linear system model by differential homeomorphism. Using Internal Model Optional Control (IMOC), the disturbances compensator is ...

In this paper a combination of the feedback linearizing control technique and GloverMcFarlane control method is applied for the control of a synchronous motor. The use of feedback linearization requires the complete knowledge of the nonlinear system. In practice, there are many processes whose dynamics is very complex, highly nonlinear and usually incompletely known. To improve robustness, it m...

We present an algorithm for the computation of reducible invariant tori of discrete dynamical systems that is suitable for tori of dimensions larger than 1. It is based on a quadratically convergent scheme that approximates, at the same time, the Fourier series of the torus, its Floquet transformation, and its Floquet matrix. The Floquet matrix describes the linearization of the dynamics around...

In this paper we prove that for Hessenberg delay-DAEs of retarded type, the direct linearization along the stationary solution yields the same linear delay ODE as the linearization of the state space form of the original problem, which is assured to be legitimate. Thus according to the theory of 6], the study of the asymptotic stability of the DDAE along the stationary solution can be transform...

Abstract Three new and applicable approaches based on quasi-linearization technique, wavelet-homotopy analysis method, spectral methods, converting two-point boundary value problem to Fredholm–Urysohn integral equation are proposed for solving a special case of strongly nonlinear problems, namely Troesch problem. A technique is utilized reduce the sequence linear equations in first method. Seco...

S U M M A R Y The stationary Reynolds equation is solved over a rectangular region. The problem is linearized by Picard linearization. The ADI method is used to solve the resulting set of linear equations. A set of parameters is introduced to speed up convergence as well for the Picard linearization as for the ADI method. A comparison is made with Booy-Coleman's method. Results are given for be...

The present work proposes a new method to the problem of implementation of Input-State feedback linearization. Such method is based on the search of a diffeomorphism which transforms the original nonlinear system into a linear one in the controllable canonical form with an external reference input, and the subsequent using of linear pole-placement techniques. The problem is solved without need ...

We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, but also includes new methods and new versions/extensions of old methods, such as a simplicial decomposition method for nondifferentiable optimization and a new piecewise linear approximation method for convex single commodity ne...

this study proposes a new linear approximation for solving the dynamic response equations of a rocking rigid block. linearization assumptions which have already been used by hounser and other researchers cannot be valid for all rocking blocks with various slenderness ratios and dimensions; hence, developing new methods which can result in better approximation of governing equations while keepin...