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This work has the goal of briefly surveying some key stabilization techniques for general nonlinear systems, for which, as it is well known, a smooth control Lyapunov function may fail to exist. A general overview of the situation with…

最优化与控制 · 数学 2020-07-03 Pavel Osinenko , Patrick Schmidt , Stefan Streif

We present a technique for learning control Lyapunov-like functions, which are used in turn to synthesize controllers for nonlinear dynamical systems that can stabilize the system, or satisfy specifications such as remaining inside a safe…

系统与控制 · 计算机科学 2019-06-06 Hadi Ravanbakhsh , Sriram Sankaranarayanan

Guaranteeing safety in the presence of unmatched disturbances -- uncertainties that cannot be directly canceled by the control input -- remains a key challenge in nonlinear control. This paper presents a constructive approach to…

系统与控制 · 电气工程与系统科学 2026-02-04 Max H. Cohen , Pio Ong , Aaron D. Ames

Non-intrusive reduced-order modeling techniques are necessary for systems that are simulated using black-box solvers or known only from data. For systems exhibiting large transients and operating far away from equilibria, current…

数值分析 · 数学 2026-03-24 Cole J. Errico , Alberto Padovan , Daniel J. Bodony

This work presents a geometric backstepping controller for a variable-tilt omnidirectional multirotor that explicitly accounts for both servo and rotor dynamics. Considering actuator dynamics is essential for more effective and reliable…

机器人学 · 计算机科学 2026-02-23 Jaewoo Lee , Dongjae Lee , Jinwoo Lee , Hyungyu Lee , Yeonjoon Kim , H. Jin Kim

Position and speed control of the torpedo present a real problem for the actuators because of the high level of the system non linearity and because of the external disturbances. The non linear systems control is based on several different…

系统与控制 · 计算机科学 2012-02-16 Ahmed Rhif

This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

最优化与控制 · 数学 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

Autonomously controlling quadrotors in large-scale subterranean environments is applicable to many areas such as environmental surveying, mining operations, and search and rescue. Learning-based controllers represent an appealing approach…

机器人学 · 计算机科学 2026-03-10 Isaac Ronald Ward , Mark Paral , Kristopher Riordan , Mykel J. Kochenderfer

In this paper, we study the quadrotor UAV attitude control on SO(3) in the presence of unknown disturbances and model uncertainties. L1 adaptive control for UAVs using Euler angles/quaternions is shown to exhibit robustness and precise…

最优化与控制 · 数学 2020-03-13 Prasanth Kotaru , Ryan Edmonson , Koushil Sreenath

Standard geometric control relies on force-moment decoupling, an assumption that breaks down in many aerial platforms due to spurious forces naturally induced by control moments. While strategies for such coupled systems have been validated…

机器人学 · 计算机科学 2026-02-20 Simone Orelli , Mirko Mizzoni , Antonio Franchi

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under…

最优化与控制 · 数学 2018-09-17 Nadhem Echi , Boulbaba Ghanmi

Title: Global stabilization of control nonlinear system "inverted pendulum on a cart" using method of two Lyapunov functions Authors: B. L. Mazov (Nizhny Novgorod Technical University) Comments: 10 pages Subj-class: Dynamical Systems…

动力系统 · 数学 2007-05-23 B. L. Mazov

Aerial transportation using quadrotors with cable-suspended payloads holds great potential for applications in disaster response, logistics, and infrastructure maintenance. However, their hybrid and underactuated dynamics pose significant…

系统与控制 · 电气工程与系统科学 2025-10-30 Luis F. Recalde , Mrunal Sarvaiya , Giuseppe Loianno , Guanrui Li

Learning-based methods are powerful in handling complex scenarios. However, it is still challenging to use learning-based methods under uncertain environments while stability, safety, and real-time performance of the system are desired to…

机器人学 · 计算机科学 2022-03-08 Zhixuan Wu , Rui Yang , Lei Zheng , Hui Cheng

We consider output-feedback stabilization problems for a class of two-component linear parabolic systems with boundary actuation and measurement. The state-feedback control laws are obtained using backstepping method and require measurement…

偏微分方程分析 · 数学 2016-12-13 Agus Hasan

This paper investigates optimal takeoff trajectory planning for a quadrotor modeled with vertical-plane rigid body dynamics in an uncertain, one-dimensional wind-field. The wind-field varies horizontally and propagates across an operating…

系统与控制 · 电气工程与系统科学 2024-02-05 Nicholas Kakavitsas , Artur Wolek

With the advent of intelligent transport, quadrotors are becoming an attractive solution while lifting or dropping payloads during emergency evacuations, construction works, etc. During such operations, dynamic variations in (possibly…

机器人学 · 计算机科学 2021-09-02 Viswa Narayanan Sankaranarayanan

This paper proposes a pitch plane trajectory tacking control solution for suborbital launch vehicles relying on adaptive feedback linearization. Initially, the 2D dynamics and kinematics for a single-engine, thrust-vector-controlled…

系统与控制 · 电气工程与系统科学 2025-07-18 Pedro dos Santos , Paulo Oliveira

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

最优化与控制 · 数学 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

A method is presented to learn neural network (NN) controllers with stability and safety guarantees through imitation learning (IL). Convex stability and safety conditions are derived for linear time-invariant plant dynamics with NN…

系统与控制 · 电气工程与系统科学 2021-04-08 He Yin , Peter Seiler , Ming Jin , Murat Arcak
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