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Principle Equation of Motion (for walkers) is derived that later results in introducing two piecewise-continuous dynamical systems namely Simplified Walking Model (SWM) and Complete Walking Model (CWM) which both describe the behavior of…

Robotics · Computer Science 2019-05-07 Mostafa Ghobadi

Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Michael Ruderman

This paper is mainly concerned with the robustly stable adaptive control of single-input single-output impulse-free linear time-invariant singular dynamic systems of known order and unknown parameterizations subject to single external point…

Optimization and Control · Mathematics 2008-04-07 M. De la Sen

The impulse-based discrete feedback control has been proposed in previous work for the second-order motion systems with damping uncertainties. The sate-dependent discrete impulse action takes place at zero crossing of one of both states,…

Systems and Control · Computer Science 2017-07-25 Michael Ruderman

This paper develops output feedback boundary control to mitigate traffic congestion of a unidirectional two-lane freeway segment. The macroscopic traffic dynamics are described by the Aw-Rascle-Zhang (ARZ) model respectively for both the…

Optimization and Control · Mathematics 2019-05-07 Huan Yu , Miroslav Krstic

We develop a control design for stabilization of traffic flow in congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential Equation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive Cruise…

Optimization and Control · Mathematics 2018-12-20 Nikolaos Bekiaris-Liberis , Argiris I. Delis

This paper is devoted to the development of adaptive control schemes for uncertain discrete-time systems, which guarantee robust, global, exponential convergence to the desired equilibrium point of the system. The proposed control scheme…

Optimization and Control · Mathematics 2015-09-02 Iasson Karafyllis , Maria Kontorinaki , Markos Papageorgiou

This work concerns the internal stabilization of underactuated linear systems of $m$ heat equations in cascade, where the control is placed internally in the first equation only and the diffusion coefficients are distinct. Combining the…

Optimization and Control · Mathematics 2022-07-21 Constantinos Kitsos , Emilia Fridman

This paper presents a non-minimal order dynamics model for many analysis, simulation, and control problems of constrained mechanical systems with switching topology by making use of linear projection operator. The distinct features of this…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Farhad Aghili

In this paper we exploit some interesting properties of a class of bipedal robots which have an inertial disc. One of this properties is the ability to control every position and speed except for the disc position. The proposed control is…

Optimization and Control · Mathematics 2016-06-01 Carlos Eduardo de Brito Novaes , Paulo Sergio Pereira da Silva , Pierre Rouchon

This paper presents a unified control framework that integrates a Feedback Linearization (FL) controller in the inner loop with an adaptive Data-Enabled Policy Optimization (DeePO) controller in the outer loop to balance an autonomous…

Systems and Control · Electrical Eng. & Systems 2025-02-20 Niklas Persson , Feiran Zhao , Mojtaba Kaheni , Florian Dörfler , Alessandro V. Papadopoulos

In normal on-road situations, autonomous vehicles will be expected to have smooth trajectories with relatively little demand on the vehicle dynamics to ensure passenger comfort and driving safety. However, the occurrence of unexpected…

Systems and Control · Computer Science 2017-06-26 Florent Altché , Philip Polack , Arnaud de La Fortelle

Human and humanoid posture control models usually rely on single or multiple degrees of freedom inverted pendulum representation of upright stance associated with a feedback controller. In models typically focused on the action between…

Neurons and Cognition · Quantitative Biology 2023-11-17 Vittorio Lippi , Christoph Maurer , Stefan Kammermeier

This paper discusses the stability of an equilibrium point of an ordinary differential equation (ODE) arising from a feed-forward position control for a musculoskeletal system. The studied system has a link, a joint and two muscles with…

Dynamical Systems · Mathematics 2019-04-30 Takahiro Kosugi , Hitoshi Kino , Masaaki Goto , Yuki Matsutani

This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backstepping is applied in 1-D domains with an actuator at one…

Optimization and Control · Mathematics 2016-03-17 Rafael Vazquez , Miroslav Krstic

We consider a classical problem of control of an inverted pendulum by means of a horizontal motion of its pivot point. We suppose that the control law can be non-autonomous and non-periodic w.r.t. the position of the pendulum. It is shown…

Optimization and Control · Mathematics 2017-09-27 Ivan Polekhin

A cyclic random motion at finite velocity with orthogonal directions is considered in the plane and in $\mathbb{R}^3$. We obtain in both cases the explicit conditional distributions of the position of the moving particle when the number of…

Probability · Mathematics 2020-01-01 E. Orsingher , R. Garra , A. I. Zeifman

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

Sufficient and necessary conditions are established for controllability of affine control systems where the control is constrained to a set whose convex hull contains the origin but is not necessarily, in contrast with previously known…

Optimization and Control · Mathematics 2025-12-10 Jean-Baptiste Caillau , Lamberto Dell'Elce , Alesia Herasimenka , Jean-Baptiste Pomet

Novel nonlinear damping control is proposed for the second-order systems. The proportional output feedback is combined with the damping term which is quadratic to the output derivative and inverse to the set-point distance. The global…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Michael Ruderman
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