Modeling nonlinear systems using multiple piecewise linear equations

Modeling nonlinear systems using multiple piecewise linear equations

This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system. The nonlinearity in the target system must be able to be represented as a piecewise linear function. A simple third order nonlinear system is us...

Model predictive control of nonlinear systems using piecewise linear models

We consider the problem of controlling nonlinear systems which are modeled as a set of piecewise linear (PL) or affine systems using model predictive control (MPC). The paper reviews recent results on the analysis and control of PL systems, which can model a wide range of practically relevant nonlinear systems. Using techniques from the theory of linear matrix inequalities (LMIs), we develop a ...

Piecewise Constant Controlled Linear Fuzzy Systems

Piecewise Linear Methods for Nonlinear Equations and Optimization

1. Introduction Piecewise linear algorithms, also referred to in the literature as sim-plicial algorithms, can be used to generate piecewise linear manifolds which approximate the solutions of underdetermined systems of equa

A multiple linear modeling approach for nonlinear switched systems ⋆

Many applications in chemical engineering exhibit a switching character due to discrete and continuous aspects in their dynamic behavior. While first principles models of such systems can be constructed with process simulators, they are usually too complex for use in on line applications such as in model based control. The available methods for modeling of such systems mostly use linear models,...