This paper deals a tracking trajectory controller design of a tricycle robot as a non-holonomic system with a piecewise multi-linear (PML) model. The approximated model is fully parametric. Input-output (I/O) dynamic feedback linearization is applied to stabilize PML control system. We also apply a method for a tracking control based on PML models to the tricycle robot. Although the controller ...

The two control design methods for stabilizing discrete time systems are based on the notion of exact linearization with diffemorphism and feedback. On the one hand, the first method consists in developing a polynomial control law based on the exact linearization approach. This approach was developed by considering the concept of relative degree. On the other hand, the second method is based on...

This paper proposes a servo control system based on a minimal-order state observer for nonlinear systems approximated by piecewise bilinear (PB) models. The design method is capable of designing the state observer and the servo controller of nonlinear systems separately. The approximated system is found to be fully parametric. The input-output (I/O) feedback linearization is applied to stabiliz...

Backstepping is a nonlinear control design tool for underactuated systems. Backstepping is used for output stabilization or tracking using feedback similarly to feedback linearization. In feedback linearization the stabilizing controller is designed entirely for a virtual input which is then mapped back to the physical input by completely canceling nonlinearities. In backstepping the system is ...

Carleman linearization is used to transform a polynomial control system with output, defined on n-dimensional space, into a linear or bilinear system evolving in the space of infinite sequences. Such a system is described by infinite matrices with special properties. Linear observability of the original system is studied. It means that all coordinate functions can be expressed as linear combina...

investigating pressure applied in surface vertically that is done by use of mechanical procedures isn’t efficient to measure pressure applied in inner surface of reservoir or pipes having gas due to entering pressure into whole walls and different surfaces. So, in order to measure this kind of pressure, several studies were conducted in past decades and also various procedures were proposed tha...

Abstract—Necessary and sufficient conditions are presented under which a discrete-time autonomous system with outputs is locally diffeomorphic to an output-scaled linear observable system or an output-scaled nonlinear system in the observer form. As a consequence of such characterizations, the nonlinear observer design problem is studied by a time-scaling approach combined with the exact linear...

The problem of invariant output tracking is considered: given a control system admitting a symmetry group G, design a feedback such that the closed-loop system tracks a desired output reference and is invariant under the action of G. Invariant output errors are defined as a set of scalar invariants of G; they are calculated with the Cartan moving frame method. It is shown that standard tracking...

This paper deals with observer design for non-linear single output systems. When a classical observer error linearization by output injection is not possible due to restrictive existence conditions, a simple approximation scheme is proposed. The method can be applied to a wider class of non-linear systems. Our approach is constructive and can be implemented using computer algebra packages. The ...

 An adaptive input-output linearization method for general nonlinear systems is developed without using states of the system. Another key feature of this structure is the fact that, it does not need model of the system. In this scheme, neurolinearizer has few weights, so it is practical in adaptive situations.  Online training of neuroline...