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Modern aircraft are designed with redundant control effectors to cater for fault tolerance and maneuverability requirements. This leads to aircraft being over-actuated and requires control allocation schemes to distribute the control…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Hafiz Zeeshan Iqbal Khan , Surrayya Mobeen , Jahanzeb Rajput , Jamshed Riaz

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

Systems and Control · Electrical Eng. & Systems 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

This paper explores the design of hybrid feedback for a class of affine nonlinear systems with topological constraints that prevent global asymptotic stability. A new hybrid control strategy is introduced, which differs conceptually from…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Miaomiao Wang , Abdelhamid Tayebi

The paper investigates nonlinear system identification using system output data at various linearized operating points. A feed-forward multi-layer Artificial Neural Network (ANN) based approach is used for this purpose and tested for two…

Systems and Control · Computer Science 2016-11-17 Sayan Saha , Saptarshi Das , Anish Acharya , Abhishek Kumar , Sumit Mukherjee , Indranil Pan , Amitava Gupta

This note presents an extension to the adaptive control strategy presented in [1] able to counter eventual instability due to disturbances at the input of an otherwise $\mathcal{L}_2$ stable closed-loop system. These disturbances are due to…

Optimization and Control · Mathematics 2015-05-20 Mario di Bernardo , Umberto Montanaro , Romeo Ortega , Stefania Santini

The purpose of this paper is to show that, at least for Lagrangians of mechanical type, nonholonomic Euler-Lagrange equations for a nonholonomic linear constraint D may be viewed as non-constrained Euler-Lagrange equations but on a new…

Differential Geometry · Mathematics 2011-11-22 J. Grabowski , M. de Leon , J. C. Marrero , D. Martin de Diego

Hamiltonian systems with linearly dependent constraints (irregular systems), are classified according to their behavior in the vicinity of the constraint surface. For these systems, the standard Dirac procedure is not directly applicable.…

High Energy Physics - Theory · Physics 2007-05-23 Olivera Miskovic , Jorge Zanelli

This paper presents a new model-based algorithm that computes predictive optimal controls on-line and in closed loop for traditionally challenging nonlinear systems. Examples demonstrate the same algorithm controlling hybrid impulsive,…

Robotics · Computer Science 2017-09-04 Alex Ansari , Todd Murphey

This paper presents a combined strategy for tracking a non-holonomic mobile robot which works under certain operating conditions for system parameters and disturbances. The strategy includes kinematic steering and velocity dynamics learning…

Robotics · Computer Science 2015-12-11 Monica Dragoicea , Ioan Dumitrache , Nicolae Constantin

Iterative Learning Control (ILC) can achieve perfect tracking performance for mechatronic systems. The aim of this paper is to present an ILC design tutorial for industrial mechatronic systems. First, a preliminary analysis reveals the…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Tom Oomen

For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control…

Optimization and Control · Mathematics 2022-08-01 Fritz Colonius , Juliana Raupp , Alexandre J. Santana

Stabilizing controller design and region of attraction (RoA) estimation are essential in nonlinear control. Moreover, it is challenging to implement a control Lyapunov function (CLF) in practice when only partial knowledge of the system is…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

This paper studies the solution of nonsymmetric linear systems by preconditioned Krylov methods based on the normal equations, LSQR in particular. On some examples, preconditioned LSQR is seen to produce errors many orders of magnitude…

Numerical Analysis · Mathematics 2025-03-06 Ethan N. Epperly , Anne Greenbaum , Yuji Nakatsukasa

This paper proposes a general incremental policy iteration adaptive dynamic programming (ADP) algorithm for model-free robust optimal control of unknown nonlinear systems. The approach integrates recursive least squares estimation with…

Optimization and Control · Mathematics 2025-09-01 Qingkai Meng , Fenglan Wang , Lin Zhao

Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore lower order schemes are used for the numerical approximation.…

Numerical Analysis · Mathematics 2021-05-24 Jakub W. Both , Kundan Kumar , Jan M. Nordbotten , Iuliu Sorin Pop , Florin A. Radu

This paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

The paper considers a motion control problem for kinematic models of nonholonomic wheeled systems. The class of maneuverable wheeled systems is defined consisting of systems that can follow any sufficiently smooth non-stop trajectory on the…

Optimization and Control · Mathematics 2007-05-23 Sergei V. Gusev , Igor A. Makarov

Control-based continuation (CBC) is a general and systematic method to explore the dynamic response of a physical system and perform bifurcation analysis directly during experimental tests. Although CBC has been successfully demonstrated on…

Dynamical Systems · Mathematics 2024-11-05 Hamed Rezaee , Ludovic Renson

Nonholonomic systems are, so to speak, mechanical systems with a prescribed restriction on the velocities. A virtual nonholonomic constraint is a controlled invariant distribution associated with an affine connection mechanical control…

Optimization and Control · Mathematics 2024-11-11 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo J. Colombo

In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance. Based on backstepping approach, an adaptive controller…

Systems and Control · Electrical Eng. & Systems 2020-05-15 Xinyao Li , Changyun Wen , Ying Zou