Abstract The observer design problem for integer‐order systems has been the subject of several studies. However, much less interest given to more general fractional‐order systems, where derivative is between 0 and 1. In this paper, a particular form observers Lipschitz, one‐sided Lipschitz quasi‐one‐sided extended calculus. Then, obtained states estimates are used an eventual feedback control, separation principle tackled. effectiveness proposed scheme shown through simulation two numerical examples.

Abstract The issue of estimating states for classical integer‐order nonlinear systems has been widely addressed in the literature. Yet, generalization existing results to fractional‐order framework represents a fertile area research. Note that, recently, new and advantageous type fractional derivative, conformable was defined. So far, general query designing observers not investigated. In addition, it proved literature that some important tools stability analysis are valid using derivative...

Abstract The issue of designing simultaneously robust and non‐fragile observers for the classical integer‐order systems has been widely investigated in literature. Yet, there are just some few works that have tackled same problem non‐integer‐order systems. Moreover, conformable derivative is an interesting concept introduced by researchers last decade. This new presents advantageous mathematical properties, compared with older concepts. In this paper, motivated these facts, authors suggest a...

In the present paper, a quasiuniform stability result for fractional order neural networks with mixed delay is developed, based on generalized Gronwall inequality and Caputo derivative. Sufficient conditions are derived to ensure of considered nets system. A clarification example carried out not only validate authors’ theoretical results but also show superiority developed work (in terms improved stability), compared other similar works already published in literature.

This paper presents an extensive investigation into the state feedback stabilization, observer design, and observer-based controller design for a specific category of nonlinear Hadamard fractional-order systems. The research extends conventional integer-order derivative to derivative, offering more universally applicable method system analysis. Furthermore, traditional Lipschitz condition is adapted one-sided condition, broadening range systems amenable analysis using these techniques....

In the last few years, a new class of fractional-order (FO) systems, known as Katugampola FO has been introduced. This is noteworthy to investigate, it presents generalization well-known Caputo systems. this paper, novel lemma for analysis function with bounded fractional integral presented and proven. The Caputo–Katugampola derivative concept, which involves two parameters 0 < α 1 ρ > 0, was used. Then, using demonstrated barbalat-like lemma, identification problems, namely,...

Summary Fault estimation for classical nonlinear Lipschitz systems has been subject to several research works. So far, much less interest given the more generalized class of systems, namely, one‐sided Lipchitz systems. Dealing with component faults and actuator faults, only very few works have done reconstruct these types this new A major limitation previous is that fault vector be estimated there does not give any information about actual faulty physical parameters system, so are...

Designing unknown input observers for integer-order systems has been subject to numerous and various research works. However, dealing with the fractional-order calculus, literature lacks of such results. Indeed, only very few attempts have done design linear Lipschitz nonlinear systems. By this paper, a first solution is given systems, under so called one-sided condition, corresponding superset traditional class

In this study, an unknown input observer is proposed for a class of nonlinear GPFOSs. For systems, both full-order and reduced-order observers have been established. The investigated system satisfies the one-sided Lipschitz condition, which improvement classic condition. Sufficient conditions to ensure error dynamics’ Mittag–Leffler stability. value work lies in fact that, best authors’ knowledge, first research that investigates issue Observer Design (OD) To exemplify usefulness suggested...

The state feedback controller design for a class of Generalized Proportional Fractional Order (GPFO) Nonlinear Systems is presented in this paper. based on the combination One-Sided Lipschitz (OSL) system with GPFO modeling. main contribution study that, to best authors’ knowledge, work presents first control systems. suggested intended ensure system’s generalized Mittag Leffler (GML) stability and deliver optimal performance. findings paper show that proposed strategy effective stabilizing...

Abstract The separation principle has been extensively used in the literature to tackle observer-based control problem for integer-order linear and Lipschitz nonlinear systems. However, less interest given by researchers treat same problem, fractional-order framework. In this context, paper introduces investigates a tailored two advantageous classes of fuzzy These can be regarded as generalizations classical Lipshchitz research explores both asymptotic stability practical Mittag-Leer...

In the literature, issue of designing model-reference controllers for integer-order systems has been extensively addressed. The extension existing works to fractional-order calculus is still a fertile field research. It within this context that present paper established. Herein, new observer-based control scheme proposed linear systems. developed methodology based on Caputo definition fractional derivatives, Lyapunov theory and matrix inequality (LMI) technique. Finally, simulation study...

Up to now, the problem of designing Fault Tolerant Controllers for classical integer-order systems has been tackled by several researchers. However, best our knowledge, only few papers dealing with Control fractional-order exist in literature. Motivated this fact, we present herein a novel Estimation and scheme linear sensor faults. In one similar existing literature, fractional systems, faults, have tackled, but without giving any stability analysis. another paper, same investigated...

In the literature, issue of designing model-reference controllers for integer-order systems has been extensively addressed. The extension existing works to fractional-order calculus is still a fertile field research. It within this context that present paper established. Herein, new observer-based control scheme proposed linear systems. developed methodology based on Caputo definition fractional derivatives, Lyapunov theory and matrix inequality (LMI) technique. Finally, simulation study...

In this paper, we adopt a useful methodology (i.e., Lyapunov stability theory and LMI approach) to design non-fragile observer for class of nonlinear systems. The gain is found directly from the formulation. A numerical example given illustrate use our method.