Flat systems, an important subclass of nonlinear control systems introduced via differential-algebraic methods, are defined in a differential geometric framework. We utilize the infinite dimensional geometry developed by Vinogradov and coworkers: a control system is a diffiety, or more precisely, an ordinary diffiety, i.e. a smooth infinite-dimensional manifold equipped with a privileged vector...

The aim of this work is to motivate the use of linear flatness, or controllability, to design a feedback control law for the rather challenging mechanism known as the ‘Furuta pendulum’. This is achieved by introducing three feedback controller design options for the stabilization and rest-to-rest trajectory tracking tasks: a direct pole placement approach, a hierarchical high-gain approach and ...

In this paper, automatic test system of surface flatness was designed according to the characteristics of the no-till field by combining the PLC (Programmable Logic Controller), laser sensor and stepping motor automatic control technologies. Monitor and Control Generated System (MCGS) configuration software was used to form the interaction interface. Real-time data report and the trend line cou...

This paper aims to present a novel control strategy for Modular Multilevel Converters (MMC) based on differential flatness theory (DFT), in which instantaneous active and reactive power values are considered as the flat outputs. To this purpose, a mathematical model of the MMC taking into account dynamics of the ac-side current and the dc-side voltage of the converter is derived in a d-q refere...

This article is focused on the development of an energy management algorithm applied to a multi-stack fuel cell (FC) system for DC microgrid applications. To guarantee performance FC stacks, current ripple reduced by employing multiphase interleaved boost converters. A proposed advanced control technique with converters proton exchange membrane (PEM) FCs estimated based differential flatness ap...

This contribution deals with flatness based control of a laboratory model of a gantry crane. The mechanical model has 3DOFs, where a trolley can be moved on a rail, the load is fixed at the end of a rope and can be lifted or lowered by coiling or uncoiling this rope on a cylinder. Under the assumption that the rope is always stretched, the underactuated system is not input to state linearisable...

In the area of PEMFC, water management and thus membrane humidity still remains one of the most challenging issues affecting PEMFC efficiency and lifetime. In this investigation, an innovative method to improve PEMFC water management is presented and a nonlinear model-based control strategy is proposed. The novelty of this approach relies upon a simplified PEMFC model combining the benefits of ...