This paper examines the control problem of discrete-time feedback linearizable nonlinear systems for which there is no available analytic models. Based on the ability of fuzzy systems to approximate any nonlinear mapping, the unknown nonlinear system is represented by a Takagi-Sugeno fuzzy model which is identified using input-output data. Then, a fuzzy feedback linearizing controller, based on...

Absfract-This paper shows that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system. In particular, it follows that feedback linearizable systems admit such factorizations. In order to establish the result, a Lyapunovtheoretic definition is proposed for bounded ...

We present an extension of Willems' Fundamental Lemma to the class multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation their input-output trajectories. Two sources uncertainty are considered. First, unknown linearizing input is inexactly approximated by set basis functions. Second, measured output data contaminated additive ...

The general, differential-equation-independent definition of a continuous-time controlled dynamical system as well as of the state space transformation and static state feedback are introduced. This approach makes it possible to consider transformations that are not smooth and introduce the so-called topological equivalence of controlled dynamical sys­ tems. It is shown that this approach gener...

This paper addresses a robust control approach for a class of input-output linearizable nonlinear systems with uncertainties and modeling errors considered as unknown inputs. As known, the exact feedback linearization method can be applied to control input-output linearizable nonlinear systems, if all the states are available and modeling errors are negligible. The mentioned two prerequisites d...

In this paper, a class of second-order nonlinear cascade control systems is considered. Under certain structural assumptions, it is proven that these systems are exactly linearizable via nonregular static state feedbacks and state diffeomorphisms. Linearizing input transformations and the corresponding state diffeomorphisms are presented. Finally, nonregular static feedback linearization is app...

This paper presents applications of polytopic approximation methods for reachable set computation using dynamic optimization. The problem of computing exact reachable sets can be formulated in terms of a Hamilton-Jacobi partial differential equation (PDE). Numerical solutions which provide convergent approximations of this PDE have computational complexity which is exponential in the continuous...