Input/output linearization: A nonlinear analog of placing poles at process zeros

Distributed control of nonlinear diffusion systems by inputoutput linearization

This paper addresses the distributed control by input–output linearization of a nonlinear diffusion equation that describes a particular but important class of distributed parameter systems. Both manipulated and controlled variables are assumed to be distributed in space. The control law is designed using the concept of characteristic index from geometric control by using directly the PDE model...

Placing Plenty of Poles is Pretty

We discuss the pole placement problem for single-input or multi-input control models of the form _ x = Ax + Bu. This is the problem of determining a linear state feedback of the form u = Fx such that in the closed-loop system _ x = (A + BF)x, the matrix A + BF has a prescribed set of eigenvalues. We analyze the conditioning of this problem and show that it is an intrinsically ill-conditioned pr...

Poles and zeros at infinity of linear time-varying systems

The notions of poles and zeros at infinity and their relations are extended to the case of linear continuous time-varying systems. This study is based on the notion of a “newborn system” which is, in a mathematical point of view, a graded module extension over the noncommutative ring of differential operators. It is proved to be a relevant generalization to the time-varying case of the equivale...

A simple definition of hidden modes, poles and zeros

This paper should be read in conjunction with [8], where basic structural properties, such as controllability, observability and state-variable representation, of constant or time-varying generalized linear systems were examined in the context of module theory. Our aim here is to illustrate this approach by giving a simple and transparent definition of hidden modes, poles and zeros of constant ...

Optimal Control of Unknown Nonlinear System From Inputoutput Data