This paper proposes an adaptive feedback controller for a class of chaotic systems. This controller can be used for tracking a smooth orbit that can be a limit cycle or a chaotic orbit of another system. Based on Lyapunov approach, the adaptation law is determined to tune the controller gain vector in order to track a predetermined linearizing feedback control. To demonstrate the efficiency of ...

This article gives the sufficient condition which guarantees the existence of a reference frame in which a multi-output nonlinear system is linearizable with a linear part depending on its outputs. Our method is based on the design of a reference frame associated with nonlinear observable systems. Moreover, we give the generalization of the result obtained in [5] and [19]. And some examples are...

For a class of single-input single-output continuous-time nonlinear systems, a three-layer neural network-based controller that feedback linearizes the system is presented. Control action is used to achieve tracking performance for a feedback linearizable but unknown nonlinear system. The control structure consists of a feedback linearization portion provided by two neural networks plus a robus...

A new method of the feedback linearization procedure of MIMO systems is developed. Some control variables are “sacrificed” and made equal to a linear combination of new states. Subsequently the feedback linearization procedure is carried out using the remaining control variables. The formal Lemma is stated and proved. A class of non-linear systems is defined, for which the derived procedure wor...

Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...

switching supervisory is the most important section of a feedback control process inmimo hybrid systems. by choosing a non-compatible controller, system may go tounstable mode or high overshoot response. in this paper, a new method of switchingfor selecting mbc controllers is discussed. results of the simulation show the mimo(2-in 2-out) linear hybrid system can be switched stable and low overs...

linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. the specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. the basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

This paper addresses the asymptotic output tracking problem for the model of an overhead crane. It is shown that the model is linearizable by dynamic state feedback when the full state is available for measurement. In the more realistic situation when the angle that the rope forms with respect to the vertical axis cannot be measured, two different nonlinear observers are used in order to estima...