Feedback linearization of possibly non-smooth systems

Non-regular Feedback Linearization of Switched Nonlinear Systems ?

In this paper, the problem of non-regular static state feedback linearization of nonlinear switched systems is considered. Using semi-tensor product, some easily verifiable sufficient conditions for non-regular feedback linearization are obtained. Then an example is presented to illustrate the non-regular linearization process.

non-linear control distillation column using approximate feedback linearization

Non-Smooth Stabilizers for Nonlinear Systems with Uncontrollable Unstable Linearization

We prove that every chain of odd power integrators perturbed by a C triangular vector eld can be stabilized in the large via continuous state feedback, although it is not stabilizable, even locally, by any smooth state feedback. The proof is constructive and accomplished by developing a machinery|a continuous type of adding a power integrator|that enables one to explicitly design a C globally s...

Sliding Mode Control and Feedback Linearization for Non-Regular Systems

This paper presents an approach for sliding mode control(SMC) and feedback linearization(FBL) of systems with relative order singularities. Traditionally, SMC and FBL are designed by taking derivatives of the output until the control signal appears(at the r 1 derivative). When a system does not have a well-defined relative degree (r1), the coefficient that multiplies u vanishes for some region ...

Feedback linearization and driftless systems

The problem of dynamic feedback linearization is recast using the notion of dynamic immersion. We investigate here a “generic” property which holds at every point of a dense open subset, but may fail at some points of interest, such as equilibrium points. Linearizable systems are then systems that can be immersed into linear controllable ones. This setting is used to study the linearization of ...