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In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J. Krener, Extended…

Optimization and Control · Mathematics 2007-05-23 Wen-Long Jin

This paper presents and implements an iterative feedback design algorithm for stabilisation of discrete-time switched systems under arbitrary switching regimes. The algorithm seeks state feedback gains so that the closed-loop switching…

Systems and Control · Computer Science 2010-09-13 Hernan Haimovich , Julio H. Braslavsky

This paper presents contributions on nonlinear tracking control systems for a quadrotor unmanned micro aerial vehicle. New controllers are proposed based on nonlinear surfaces composed by tracking errors that evolve directly on the…

Optimization and Control · Mathematics 2018-11-13 Michalis Ramp , Evangelos Papadopoulos

Stabilizing feedback operators are presented which depend only on the orthogonal projection of the state onto the finite-dimensional control space. A class of monotone feedback operators mapping the finite-dimensional control space into…

Optimization and Control · Mathematics 2025-03-10 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

We present two quaternion-based sliding variables for controlling the orientation of a manipulator's end-effector. Both sliding variables are free of singularities and represent global exponentially convergent error dynamics that do not…

Robotics · Computer Science 2024-12-30 Brett T. Lopez , Jean-Jacques Slotine

We study the state estimation problem for linear control systems with quadratic outputs which are locally unobservable at the equilibrium. We show that, despite this inherent lack of observability, an adversary with sensor read and write…

Optimization and Control · Mathematics 2026-05-11 Zeyad M. Manaa , Nathan van de Wouw , Michelle S. Chong

We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in $\mathbb{R}^d$. Using a Lyapunov function with a suited weight function depending on the system under consideration we…

Optimization and Control · Mathematics 2025-01-24 Michael Herty , Ferdinand Thein

In this study, a fault-tolerant super-twisting sliding mode controller with a control allocation system for a quadrotor aircraft is proposed. Super twisting sliding mode control is a robust control technique that handles a system with a…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Mehmet Karahan , Mertcan Inal , Cosku Kasnakoglu

This letter considers model predictive control of a tandem-rotor helicopter. The error is formulated using the matrix Lie group $SE_2(3)$. A reference trajectory to a target is calculated using a quartic guidance law, leveraging the…

Optimization and Control · Mathematics 2022-06-15 Faraaz Ahmed , Ludwik Sobiesiak , James Richard Forbes

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

Bidirectional thrust grants quadrotors a second equilibrium condition and increased control authority, expanding the envelope of possible aggressive maneuvers and enabling inverted flight, perching, and sensing. Prior geometric control…

Using the properties of differential flatness, a controllable system, such as a quadcoper model, may be transformed into a linear equivalent system via a coordinate change and an input mapping. This is a straightforward advantage for the…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Huu-Thinh Do , Franco Blanchini , Ionela Prodan

This paper proposes efficient policy iteration and value iteration algorithms for the continuous-time linear quadratic regulator problem with unmeasurable states and unknown system dynamics, from the perspective of direct data-driven…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

This thesis introduces a novel quadrotor manipulation system that consists of 2-link manipulator attached to the bottom of a quadrotor. This new system presents a solution for the drawbacks found in the current quadrotor manipulation system…

Robotics · Computer Science 2019-04-11 Ahmed Khalifa

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

Problem of damping of an arbitrary number of linear oscillators under common bounded control is considered. We are looking for a feedback control steering the system to the equilibrium. The obtained control is asymptotically optimal: the…

Optimization and Control · Mathematics 2016-12-02 Alexander Ovseevich , Aleksey Fedorov

The rapid development of unmanned aerial vehicles (UAV) puts forward a higher requirement for autonomous obstacle avoidance. Due to the limited payload and power supply, small UAVs such as quadrotors usually carry simple sensors and…

Systems and Control · Electrical Eng. & Systems 2020-03-03 Jiajun Ou , Xiao Guo , Ming Zhu , Wenjie Lou

In order to further expand the flight envelope of quadrotors under actuator failures, we design a nonlinear sensor-based fault-tolerant controller to stabilize a quadrotor with failure of two opposing rotors in the high-speed flight…

Robotics · Computer Science 2020-10-28 Sihao Sun , Xuerui Wang , Qiping Chu , Coen de Visser

This paper presents a new flight control framework for tilt-rotor multirotor uncrewed aerial vehicles (MRUAVs). Tiltrotor designs offer full actuation but introduce complexity in control allocation due to actuator redundancy. We propose a…

Artificial neural networks have recently been utilized in many feedback control systems and introduced new challenges regarding the safety of such systems. This paper considers the safe verification problem for a dynamical system with a…

Optimization and Control · Mathematics 2023-01-25 Yuhao Zhang , Xiangru Xu
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