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Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

Many robotic systems are underactuated, meaning not all degrees of freedom can be directly controlled due to lack of actuators, input constraints, or state-dependent actuation. This property, compounded by modeling uncertainties and…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Daniel M. Cherenson , Dimitra Panagou

We develop a new theory of maximizing sets in dynamical systems, for the study of ergodic optimization in systems with weak hyperbolicity but where the Ma\~n\'e cohomology lemma does not hold. This leads to new solutions of the Typical…

Dynamical Systems · Mathematics 2026-03-10 Wen Huang , Oliver Jenkinson , Leiye Xu , Yiwei Zhang

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…

Optimization and Control · Mathematics 2010-02-11 Bahman Gharesifard

In this paper, we introduce a model-free, real-time, dynamic optimization and control method for a class of rigid body dynamics. Our method is based on a recent extremum seeking control for vibrational stabilization (ESC-VS) approach that…

Optimization and Control · Mathematics 2026-04-21 Rohan Palanikumar , Ahmed A. Elgohary , Simone Martini , Sameh A. Eisa

With the goal of moving towards implementation of increasingly dynamic behaviors on underactuated systems, this paper presents an optimization-based approach for solving full-body dynamics based controllers on underactuated bipedal robots.…

Robotics · Computer Science 2020-04-03 Jenna Reher , Claudia Kann , Aaron D. Ames

This article proposes an improved trajectory optimization approach for stochastic optimal control of dynamical systems affected by measurement noise by combining optimal control with maximum likelihood techniques to improve the reduction of…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Prakash Mallick , Zhiyong Chen

This paper generalizes recent results by the authors on noninvasive model-reference adaptive control designs for control-based continuation of periodic orbits in periodically excited linear systems with matched uncertainties to a larger…

Optimization and Control · Mathematics 2023-01-02 Yang Li , Harry Dankowicz

Feedback optimization has emerged as a promising approach for regulating dynamical systems to optimal steady states that are implicitly defined by underlying optimization problems. Despite their effectiveness, existing methods face two key…

Optimization and Control · Mathematics 2025-09-18 Gianluca Bianchin , Bryan Van Scoy

Modern applications of robotics typically involve a robot control system with an inner PI (proportional-integral) or PID (proportional-integral-derivative) control loop and an outer user-specified control loop. The existing outer loop…

Systems and Control · Computer Science 2021-12-14 Hanlei Wang , Wei Ren , Chien Chern Cheah , Yongchun Xie , Shangke Lyu

This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original problem in a variational second-order lagrangian system…

Mathematical Physics · Physics 2015-05-18 L. Colombo , D. Martin de Diego

Robotic manipulation demands precise control over both contact forces and motion trajectories. While force control is essential for achieving compliant interaction and high-frequency adaptation, it is limited to operations in close…

Robotics · Computer Science 2025-06-23 Melih Özcan , Ozgur S. Oguz

This paper explores the possibility of improving bilateral robot manipulation task performance through optimizing the robot morphology and configuration of the system through motion. To optimize the design for different scenarios, we select…

Robotics · Computer Science 2020-05-05 Lasitha Wijayarathne , Juan Vallejo , Anthony Barnum , Zachary Cloutier , Frank L. Hammond

This paper investigates a distributed formation control problem for networked robots, with the global objective of achieving predefined time-varying formations in an environment with obstacles. A novel fixed-time behavioral approach is…

Optimization and Control · Mathematics 2020-08-19 Ning Zhou , Xiaodong Cheng , Yuanqing Xia , Yanjun Liu

In this article, we present data-driven feedback linearization for nonlinear systems with periodic orbits in the zero-dynamics. This scenario is challenging for data-driven control design because the higher order terms of the internal…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

Optimization and Control · Mathematics 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

Systems and Control · Computer Science 2019-11-19 Dan Wang , Xu Chen

A system's configurational state can be manipulated using dynamic variation of control parameters, such as temperature, pressure, or magnetic field; for finite-duration driving, excess work is required above the equilibrium free-energy…

Statistical Mechanics · Physics 2022-09-16 Miranda D. Louwerse , David A. Sivak

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

We present a constrained motion control framework for a redundant surgical system designed for minimally invasive treatment of pelvic osteolysis. The framework comprises a kinematics model of a six Degrees-of-Freedom (DoF) robotic arm…

Robotics · Computer Science 2018-01-23 Farshid Alambeigi , Shahriar Sefati , Mehran Armand