Feedforward Control Design for the Inviscid Burger Equation Using Formal Power Series and Summation Methods
نویسندگان
چکیده
This article presents a flatness–based approach to the trajectory planning and feedforward control problem for the inviscid Burger equation with and without an additional quadratic nonlinearity. It uses the property of formal power series parameterizability of the underlying partial differential equation and uniform Euler–summability of the resulting power series to derive a parameterization of the system state and the system input in terms of a flat output. The article thereby extends the application of the formal power series approach from parabolic to first–order hyperbolic distributed–parameter systems.
منابع مشابه
HYPERTRANSCENDENTAL FORMAL POWER SERIES OVER FIELDS OF POSITIVE CHARACTERISTIC
Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...
متن کاملAn improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
In this research paper, an improved Chebyshev-Gauss-Lobatto pseudospectral approximation of nonlinear Burger-Huxley and Fitzhugh- Nagumo equations have been presented. The method employs chebyshev Gauss-Labatto points in time and space to obtain spectral accuracy. The mapping has introduced and transformed the initial-boundary value non-homogeneous problem to homogeneous problem. The main probl...
متن کاملDesign of a New IPFC-Based Damping Neurocontrol for Enhancing Stability of a Power System Using Particle Swarm Optimization
The interline power flow controller (IPFC) is a concept of the FACTS controller for series compensation which can inject a voltage with controllable magnitude and phase angle among multi lines. This paper proposes a novel IPFC-Based Damping Neuro-control scheme using PSO for damping oscillations in a power system to improve power system stability. The addition of a supplementary controll...
متن کاملDevelopment of Average Model for Control of a Full Bridge PWM DC-DC Converter
This paper presents a detailed small-signal and transient analysis of a full bridge PWM DC-DC converter designed for high voltage, high power applications using an average model. The derived model is implemented in a typical system and used to produce the small-signal and transient characteristics of the converter. Results obtained in the analysis of the high voltage and high power design examp...
متن کاملCompare Adomian Decomposition Method and Laplace Decomposition Method for Burger's-Huxley and Burger's-Fisher equations
In this paper, Adomian decomposition method (ADM) and Laplace decomposition method (LDM) used to obtain series solutions of Burgers-Huxley and Burgers-Fisher Equations. In ADM the algorithm is illustrated by studying an initial value problem and LDM is based on the application of Laplace transform to nonlinear partial differential equations. In ADM only few terms of the expansion are required t...
متن کامل