New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4439-z
Abstract: The stability analysis of fractional-order systems with unbounded delay remains an open problem. In this paper, we firstly explore two new integral inequalities. Using these two integral inequalities obtained, the Halanay inequality with unbounded delay… read more here.
Keywords: order systems; order; fractional order; integral inequalities ... See more keywords
Clarify the physical process for fractional dynamical systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05637-z
Abstract: Dynamics in fractional order systems has been discussed extensively for presenting a possible guidance in the field of applied mathematics and interdisciplinary science. Within hundreds and thousands of reviews, regular papers and drafts, many fractional… read more here.
Keywords: order systems; fractional order; clarify physical; dynamical systems ... See more keywords
Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Control, Automation and Electrical Systems"
DOI: 10.1007/s40313-017-0356-5
Abstract: In this paper, we authors propose to use an optimization technique known as Differential Evolution (DE) optimizer for the approximation of fractional-order systems with rational functions of low order. Usual integer-order models with eleven unknown… read more here.
Keywords: order systems; order; approximation; fractional order ... See more keywords
LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01522-6
Abstract: This article addresses the stability of uncertain fractional order systems of neutral type under actuator saturation. Some criteria regarding the asymptotic robust stability of such type of systems are constructed with the help of the… read more here.
Keywords: neutral type; order; order systems; fractional order ... See more keywords
Mixing sliding mode and linear differentiators for 2nd and 3rd order systems
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1123
Abstract: Abstract High-gain observers and sliding mode observers are two of the most common techniques to design observers (or differentiators) for lower triangular nonlinear dynamics. While sliding mode observers can handle bounded nonlinearities, high-gain linear techniques… read more here.
Keywords: mode linear; sliding mode; mixing sliding; linear differentiators ... See more keywords
The output feedback control synthesis for a class of singular fractional order systems.
Sign Up to like & getrecommendations! Published in 2017 at "ISA transactions"
DOI: 10.1016/j.isatra.2017.04.020
Abstract: This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2). Firstly, an effective criterion for the normalization of singular fractional order systems… read more here.
Keywords: order systems; output feedback; order; singular fractional ... See more keywords
Predefined-time integral sliding mode control of second-order systems
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2020.1815893
Abstract: This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence… read more here.
Keywords: order systems; predefined time; second order; time ... See more keywords
Novel robust stability conditions of fractional-order systems with structured uncertain parameters based on parameter-dependent functions: the 0
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of General Systems"
DOI: 10.1080/03081079.2022.2132489
Abstract: ABSTRACT In this paper, the robust stability of fractional-order systems with fractional order and structured uncertain parameters is considered. Firstly, novel robust stability conditions of the above systems are presented based on the parameter-dependent polynomial… read more here.
Keywords: order systems; fractional order; parameter dependent; robust stability ... See more keywords
Optimal Robust Filter of Uncertain Fractional Order Systems: A Penalized Deterministic Approach
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3230773
Abstract: Developing accurate and optimum state estimation methods for fractional order systems is highly relevant since it provides vital information related to memory effects. The optimum estimation of these systems can be guaranteed using the Kalman… read more here.
Keywords: optimal robust; uncertain fractional; filter; order systems ... See more keywords
Robust Consensus of High-Order Systems Under Output Constraints: Application to Rendezvous of Underactuated UAVs
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3144107
Abstract: We solve output- and state-consensus problems for multiagent high-order systems in feedback form. We consider systems interconnected over arbitrary (connected) undirected-topology networks as well as directed spanning-trees and directed cycles. We assume that the systems… read more here.
Keywords: underactuated uavs; consensus; output; high order ... See more keywords
Nonsingular Terminal Sliding-Mode Control of Second-Order Systems Subject to Hybrid Disturbances
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2022.3192030
Abstract: This brief proposes a novel terminal sliding-mode (TSM) control design for second-order systems subject to both continuous and impulsive disturbances. The problem of singularity is effectively eliminated via the proposed approach. To ensure existence of… read more here.
Keywords: sliding mode; control; second order; order systems ... See more keywords