Modeling and Control of Mechatronic Systems by Decentralized Descriptor Systems

New dynamical observers design for linear descriptor systems

“…Descriptor systems were introduced by Luenberger [1] from a control theory point of view and since then, a large amount of works have been published dealing with their analysis and control. In [2], the modelling and control of mechatronics systems is treated by using a descriptor systems approach. In [3] a non‐linear observer for descriptor systems is designed to estimate the state variables and the unknown inputs in a wastewater treatment plant.…”

Stability of Nonlinear Descriptor Systems and Applications to Stabilization of Quadcopters

“…iii. The holonomic constraints in mechatronic systems are modelled by the algebraic constraints of the type (2) (see [17]). As we shall show in Section 3.1 the descriptor system (1) and ( 2) is a natural model for the typical quadcopter construction.…”

Fault diagnosis for discrete-time descriptor linear systems

“…So that represents the physical phenomena that the model by ordinary differential equations can not describe. These systems were introduced by Luenberger (1977) from a control theory point of view and since, great efforts have been made to investigate descriptor systems theory and their applications (see Müller and Hou (1993); Müller (2005); Liu et al (2008); Boulkroune et al (2009);Darouach (2009) ;Zhou and Lu (2009); Darouach (2012); Araujo et al (2012)). The main contribution of this paper is the new observer structure, which is more general than those presented in Darouach et al (2010) and Wu et al (2009).…”