Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications

Abstract

This work considers the problem of observer design for rectangular descriptor systems with nonlinearities satisfying incremental quadratic constraints. The observer design is feasible under the satisfaction of a linear matrix inequality and some algebraic relations in the system matrices. The special case of nonlinearities in the output is also considered. Finally, the developed approach is applied to the problem of secure communications and illustrated through numerical examples.

Generalized observer design of index one for descriptor systems with unknown inputs

“…Descriptor systems -also known as differential algebraic equations (DAEs) or singular systems -are combinations of differential and algebraic equations implicitly. Many real life plants are naturally modelled as descriptor systems, such as constrained mechanical systems [1,2], chemical control processes [3,4], electrical circuits [5,6], and secure communications [7], for instance. This work discusses the linear time invariant descriptor system with unknown inputs as follows…”

Indefinite linear quadratic optimal control for discrete time‐varying linear rectangular descriptor systems

“…Considering the dynamic compensator, [12] and [13] addressed the stabilization and robust $$$ {H}_{\infty } $$$ control of rectangular descriptor systems, respectively. Besides, in [14], a feasible observer for rectangular descriptor systems with nonlinearities was designed to satisfy the incremental quadratic constraints. Consider the discrete‐time and continuous‐time rectangular descriptor Markov jump systems, the existence and uniqueness of non‐impulsive solution and the stability were investigated by Tian and Ma [15] and [16], respectively.…”

Coexisting Attractor in a Gyrostat Chaotic System via Basin of Attraction and Synchronization of Two Nonidentical Mechanical Systems

“…In 2015, Esteban et al [32] discussed the existence of multiscrolls in chaotic systems and verified those attractors through FGPA. Moreover, synchronization plays an important role in secure communication [33,34]. In 2021, González-Zapata et al synchronized artificial neuron chaotic systems and implemented their technique to transfer an image file in a secure way [35].…”