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Sliding mode control (SMC) is a robust and computationally efficient model-based controller design technique for highly nonlinear systems, in the presence of model and external uncertainties. However, the implementation of the conventional…

Optimization and Control · Mathematics 2018-05-18 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan

We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

Systems and Control · Computer Science 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

Optimization and Control · Mathematics 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

In this paper, a robust adaptive type-2 fuzzy higher order sliding mode controller is designed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances.…

Systems and Control · Computer Science 2016-01-19 Rim Hendel , Farid Khaber , Najib Essounbouli

We apply robust control technics to an adaptive optics system including a dynamic model of the deformable mirror. The dynamic model of the mirror is a modification of the usual plate equation. We propose also a state-space approach to model…

Analysis of PDEs · Mathematics 2009-11-13 Lucie Baudouin , Denis Arzelier , Christophe Prieur , Fabien Guignard

Learning-based controllers leverage nonlinear couplings and enhance transients but seldom offer guarantees under tight input constraints. Robust feedback like sliding-mode control (SMC) provides these guarantees but is conservative in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Imran Sayyed , Nandan Kumar Sinha

In this paper, we study a class of finite-time control problems for discrete-time positive linear systems with time-varying state parameters. Although several interesting control problems appearing in population biology, economics, and…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Chengyan Zhao , Masaki Ogura , Kenji Sugimoto

In this paper, we propose a new control design scheme for solving the obstacle avoidance problem for nonlinear driftless control-affine systems. The class of systems under consideration satisfies controllability conditions with iterated Lie…

Optimization and Control · Mathematics 2019-02-08 Victoria Grushkovskaya , Alexander Zuyev

Safety is essential for autonomous systems, in particular for interconnected systems in which the interactions among subsystems are involved. Motivated by the recent interest in cyber-physical and interconnected autonomous systems, we…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Zhuo-Rui Pan , Wei Ren , Xi-Ming Sun

Adaptive control is often used for friction compensation in trajectory tracking tasks because it does not require torque sensors. However, it has some drawbacks: first, the most common certainty-equivalence adaptive control design is based…

Robotics · Computer Science 2025-01-08 Junning Huang , Davide Tateo , Puze Liu , Jan Peters

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

Over the decades, kinematic controllers have proven to be practically useful for applications like set-point and trajectory tracking in robotic systems. To this end, we formulate a novel safety-critical paradigm for kinematic control in…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Andrew Singletary , Shishir Kolathaya , Aaron D. Ames

Despite extensive research on sliding mode control (SMC) design for quadrotors, the existing approaches suffer from certain limitations. Euler angle-based SMC formulations suffer from poor performance in high-pitch or -roll maneuvers.…

Robotics · Computer Science 2025-12-04 Amin Yazdanshenas , Reza Faieghi

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable…

Optimization and Control · Mathematics 2025-06-02 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

Standard H2 optimal control of networked dynamic systems tend to become unscalable with network size. Structural constraints can be imposed on the design to counteract this problem albeit at the risk of making the solution non-convex. In…

Systems and Control · Computer Science 2017-09-28 Nan Xue , Aranya Chakrabortty

This paper studies an attitude control system design based on modified Rodrigues parameters feedback. It employs a linear continuous sliding mode controller. The sliding mode controller is able to bring the existence of the sliding motion…

Systems and Control · Electrical Eng. & Systems 2021-02-04 Harry Septanto , Djoko Suprijanto

This paper considers the chattering problem of sliding mode control while delay in robot manipulator caused chaos in such electromechanical systems. Fractional calculus as a powerful theorem to produce a novel sliding mode; which has a…

The sliding mode approach is recognized as an efficient tool for treating the chattering behavior in hybrid systems. However, the amplitude of chattering, by its nature, is proportional to magnitude of discontinuous control. A possible…

Computational Engineering, Finance, and Science · Computer Science 2015-12-25 Ayman Aljarbouh , Benoit Caillaud

A novel adaptive control approach is proposed to solve the globally asymptotic state stabilization problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback…

Systems and Control · Computer Science 2016-09-29 Mingzhe Hou , Zongquan Deng , Guangren Duan

Stabilization of a nonlinear single stage inverted pendulum is a complicated control problem, as nonlinearity is present inherently and external factors affect the equilibrium position. In this paper, a PD sliding mode controller is…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Kirtiman Singh , Prabin Kumar Padhy