AI Article Synopsis
Article Abstract
This paper investigates the problem of global finite-time stabilization in probability for a class of stochastic nonlinear systems. The drift and diffusion terms satisfy lower-triangular or upper-triangular homogeneous growth conditions. By adding one power integrator technique, an output feedback controller is first designed for the nominal system without perturbing nonlinearities. Based on homogeneous domination approach and stochastic finite-time stability theorem, it is proved that the solution of the closed-loop system will converge to the origin in finite time and stay at the origin thereafter with probability one. Two simulation examples are presented to illustrate the effectiveness of the proposed design procedure.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1016/j.isatra.2014.01.005 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Robust formation control of multiple aerial robotic vehicles using near neighbor cyclic deviation with time-varying disturbances.
ISA Trans
January 2025
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; Key Laboratory of RF Circuits and systems, Ministry of Education, Hangzhou Dianzi University, Hangzhou 310018, China. Electronic address:
Cooperative formation flight of multiple aerial robotic vehicles (ARVs) is extensively adopted in emergency rescue and collaborative transport. But the time-varying complex disturbances are inevitable in the cooperative formation flight of multiple ARVs, which can affect the formation stability of multi-ARV systems. This paper investigates the robust formation control problems for multiple ARVs with time-varying disturbances.
View Article and Find Full Text PDFNumerical dynamics and optimal control for multi-strain age-structured epidemic model.
J Math Biol
January 2025
College of Mathematical Sciences, Harbin Engineering University, Harbin, China.
In this paper, a novel age-structured epidemiological model that simultaneously considers multiple viral strains is proposed. We develop a numerical framework for the study of the dynamics and optimal control by a linearly implicit Euler method, in which the biological meaning is unconditionally preserved. The first order convergence of numerical solutions in a finite time is derived from a uniform numerical boundedness.
View Article and Find Full Text PDFDisturbance Robust Attitude Stabilization of Multirotors with Control Moment Gyros.
Sensors (Basel)
December 2024
Department of Aerospace Engineering, Chosun University, Gwangju 61452, Republic of Korea.
This paper presents a novel control framework for enhancing the attitude stabilization of multirotor UAVs using Control Moment Gyros (CMGs) and a Disturbance Robust Drive Law (DRDL). Due to their lightweight and compact structure, multirotor UAVs are highly susceptible to disturbances such as wind, making it challenging to achieve stable attitude control using rotor thrust alone. To address this issue, we employ CMGs to provide robust attitude control and apply Fast Terminal Sliding Mode Control (FTSMC) to ensure fast and accurate convergence within a finite time.
View Article and Find Full Text PDFEnhanced Control of Nonlinear Systems Under Control Input Constraints and Faults: A Neural Network-Based Integral Fuzzy Sliding Mode Approach.
Entropy (Basel)
December 2024
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
Many existing control techniques proposed in the literature tend to overlook faults and physical limitations in the systems, which significantly restricts their applicability to practical, real-world systems. Consequently, there is an urgent necessity to advance the control and synchronization of such systems in real-world scenarios, specifically when faced with the challenges posed by faults and physical limitations in their control actuators. Motivated by this, our study unveils an innovative control approach that combines a neural network-based sliding mode algorithm with fuzzy logic systems to handle nonlinear systems.
View Article and Find Full Text PDFControl of a New Financial Risk Contagion Dynamic Model Based on Finite-Time Disturbance.
Entropy (Basel)
November 2024
School of Statistics and Data Science, Nanjing Audit University, Nanjing 211815, China.
With the widespread application of chaotic systems in many fields, research on chaotic systems is becoming increasingly in-depth. This article first proposes a new dynamic model of financial risk contagion based on financial principles and discusses some basic dynamic characteristics of the new chaotic system, such as equilibrium points, dissipativity, Poincaré diagrams, bifurcation diagrams, etc. Secondly, with the consideration of privacy during data transmission, the method was designed to protect the privacy of controlled systems in finite time based on perturbation.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!