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In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at minimizing the norm-squared of the control input to move the…

Optimization and Control · Mathematics 2007-05-23 Islam I. Hussein , Anthony M. Bloch

This paper investigates the decentralized stabilization problem for a class of interconnected systems in the presence of non-triangular structural uncertainties and time-varying parameters, where each subsystem exchanges information only…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Libei Sun , Xiucai Huang , Yongduan Song

Here, we study the ultimately bounded stability of network of mismatched systems using Lyapunov direct method. We derive an upper bound on the norm of the error of network states from its average states, which it achieves in finite time.…

Systems and Control · Computer Science 2016-07-25 Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi , Tara Javidi

A recent approach to the control of underactuated systems is to look for control laws which will induce some specified structure on the closed loop system. This basic idea is used in several papers already. In this paper, we will describe…

Optimization and Control · Mathematics 2007-05-23 Fedor Andreev , David Auckly , Lev Kapitanski , Shekhar Gosavi , Atul Kelkar , Warren White

This paper introduces an adaptive-neuro geometric control for a centralized multi-quadrotor cooperative transportation system, which enhances both adaptivity and disturbance rejection. Our strategy is to coactively tune the model parameters…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Tianhua Gao , Kohji Tomita , Akiya Kamimura

Recent development of contraction theory based analysis of singularly perturbed system has opened the door for inspecting differential behavior of multi time-scale systems. In this paper a contraction theory based framework is proposed for…

Systems and Control · Computer Science 2015-12-04 Madan Mohan Rayguru , I N Kar

In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient…

Systems and Control · Computer Science 2020-03-18 Mario di Bernardo , Davide Fiore

In this paper, we present an online adaptive robust control framework for underactuated brachiating robots traversing flexible cables. Since the dynamic model of a flexible body is unknown in practice, we propose an indirect adaptive…

Robotics · Computer Science 2023-08-15 Siavash Farzan , Vahid Azimi , Ai-Ping Hu , Jonathan Rogers

Model-reference adaptive systems refer to a consortium of techniques that guide plants to track desired reference trajectories. Approaches based on theories like Lyapunov, sliding surfaces, and backstepping are typically employed to advise…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mohammed Abouheaf , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

We provide a distributed coordinated approach to the stability analysis and control design of large-scale nonlinear dynamical systems by using a vector Lyapunov functions approach. In this formulation the large-scale system is decomposed…

Dynamical Systems · Mathematics 2015-07-22 Soumya Kundu , Marian Anghel

In this paper, a novel robust tracking control law is proposed for constrained robots under unknown stiffness environment. The stability and the robustness of the controller are proved using a Lyapunov-based approach where the relationship…

Robotics · Computer Science 2014-05-09 Haifa Mehdi , Olfa Boubaker

The fundamental lemma from behavioral systems theory yields a data-driven non-parametric system representation that has shown great potential for the data-efficient control of unknown linear and weakly nonlinear systems, even in the…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Ellmaier , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

In this paper, we propose a Lyapunov-based reinforcement learning method for distributed control of nonlinear systems comprising interacting subsystems with guaranteed closed-loop stability. Specifically, we conduct a detailed stability…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Jingshi Yao , Minghao Han , Xunyuan Yin

Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain…

Systems and Control · Electrical Eng. & Systems 2023-11-03 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

This article develops variational integrators for a class of underactuated mechanical systems using the theory of discrete mechanics. Further, a discrete optimal control problem is formulated for the considered class of systems and…

Systems and Control · Computer Science 2018-11-16 Siddharth H. Nair , Ravi N. Banavar

In this paper, the control problem for underactuated systems in the presence of external disturbances and model uncertainties is considered. An adaptive fuzzy sliding mode controller (AFSMC) is proposed to solve the problem, satisfying the…

Optimization and Control · Mathematics 2017-02-10 Mohammad Mahdi Azimi , Hamid Reza Koofigar , Mehdi Edrisi

We introduce a distributed control architecture for a class of heterogeneous, nonlinear dynamical agents moving in the "string" formation, while guaranteeing trajectory tracking, collision avoidance and the preservation of the formation's…

Systems and Control · Computer Science 2018-06-19 Serban Sabau , Irinel-Constantin Morarescu , Lucian Busoniu , Ali Jadbabaie

This paper considers the problem of real-time control and learning in dynamic systems subjected to parametric uncertainties. We propose a combination of a Reinforcement Learning (RL) based policy in the outer loop suitably chosen to ensure…

Machine Learning · Computer Science 2023-06-13 Anuradha M. Annaswamy , Anubhav Guha , Yingnan Cui , Sunbochen Tang , Peter A. Fisher , Joseph E. Gaudio