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We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model is represented by a nonlinear control system, which…

最优化与控制 · 数学 2025-08-06 Julia Kalosha , Yevgeniia Yevgenieva , Alexander Zuyev

In this paper we show that a slight modification to the widely popular interconnection and damping assignment passivity-based control method---originally proposed for stabilization of equilibria of nonlinear systems---allows us to provide a…

系统与控制 · 计算机科学 2019-11-20 Bowen Yi , Romeo Ortega , Dongjun Wu , Weidong Zhang

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

系统与控制 · 电气工程与系统科学 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

We provide a constructive method designed in order to control the stability of a given periodic orbit of a general completely integrable system. The method consists of a specific type of perturbation, such that the resulting perturbed…

动力系统 · 数学 2015-03-04 Razvan M. Tudoran

In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of arbitrary order $N \in \mathbb{N}$ on a bounded $1$-dimensional spatial domain $(a,b)$. In order to achieve stabilization, we couple the system to…

最优化与控制 · 数学 2018-09-12 Jochen Schmid , Hans Zwart

In this note we identify a class of underactuated mechanical systems whose desired constant equilibrium position can be globally stabilised with the ubiquitous PID controller. The class is characterised via some easily verifiable conditions…

动力系统 · 数学 2016-10-25 Jose Guadalupe Romero , Alejandro Donaire , Romeo Ortega

The problem of orbital stabilization of underactuated mechanical systems with one passive degree-of-freedom (DOF) is revisited. Virtual holonomic constraints are enforced using a continuous controller; this results in a dense set of closed…

系统与控制 · 电气工程与系统科学 2020-12-21 Nilay Kant , Ranjan Mukherjee

Two different aspects of formation control of multiple agents subjected to linear transformation have been addressed in this paper. We consider a set of complex single integrator systems so that the dimension of the system reduces to half…

系统与控制 · 计算机科学 2015-06-03 Soumic Sarkar , Indra Narayan Kar

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this control problem for the case-study of a second-order system…

最优化与控制 · 数学 2023-09-21 Mohamed Maghenem , William Pasillas-Lépine , Antonio Loría , Missie Aguado-Rojas

The varied and complex dynamics of real-world systems challenge the formulation of a systematic strategy for designing a stabilizing feedback law. Rather than taking a universal approach, the control strategies developed thus far to handle…

系统与控制 · 电气工程与系统科学 2023-01-02 Syed Shadab Nayyer , Sushama R. Wagh , Navdeep M. Singh

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

最优化与控制 · 数学 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

A geometric formulation for stabilization of systems with one degree of underactuation which fully solves the energy shaping problem for these system is given. The results show that any linearly controllable simple mechanical system with…

最优化与控制 · 数学 2010-02-11 Bahman Gharesifard

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

系统与控制 · 电气工程与系统科学 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

最优化与控制 · 数学 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

We present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

系统与控制 · 电气工程与系统科学 2023-05-09 Weiming Che , Fulvio Forni

The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of…

最优化与控制 · 数学 2024-04-09 B. Hassoun , R. Al-Saphory , S. Hassan

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

This article presents an adaptive nonlinear delayed feedback control scheme for stabilizing the unstable periodic orbit of unknown fractional-order chaotic systems. The proposed control framework uses the Lyapunov approach and sliding mode…

系统与控制 · 电气工程与系统科学 2023-11-10 Bahram Yaghooti , Kaveh Safavigerdini , Reza Hajiloo , Hassan Salarieh

In this note, it is shown by counterexamples, theoretical analysis and simulation tests that the two types of sliding-mode controllers presented in the paper [1] fail to solve the stabilization problem of a class of under-actuated…

最优化与控制 · 数学 2012-08-31 Ma Bao-Li