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In this paper, a new model based nonlinear control technique, called PID (Proportional-Integral-Derivative) type sliding surface based sliding mode control is designed using improved reaching law. To improve the performance of the second…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Kirtiman Singh , Prabin Kumar Padhy

A novel MIMO homogeneous Super-Twisting Algorithm is proposed in this paper for nonlinear systems with relative degree one, having a time and state-varying uncertain control matrix. The uncertainty is represented by a constant but unknown…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Juan F. Garcia-Mathey , Jaime A. Moreno

In this paper, we propose a framework for designing sliding mode controllers for a class of mechanical systems with symmetry, both unconstrained and constrained, that evolve on principal fiber bundles. Control laws are developed based on…

Robotics · Computer Science 2025-09-03 Eduardo Espindola , Yu Tang

Within the missile guidance and control system the autopilot must overcome an array of variables and uncertainties to maintain tracking trajectory. A large uncertainty explored in this paper is the difference between the assumed flight…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Eerik Cockin , Xinhua Wang

This paper develops a comprehensive extension of the $\Lambda$-set framework for optimal control, introducing second-order $\Lambda$-sets and generalizing the theory to non-smooth, hybrid, and stochastic hybrid systems. We first establish…

Optimization and Control · Mathematics 2025-12-11 Mohammad H. M Rashid

The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order $2 \times 2$ linear hyperbolic systems. The main technical point is to show that we…

Optimization and Control · Mathematics 2020-10-30 Long Hu , Guillaume Olive

A non-overshooting quasi-continuous sliding mode control with sub-optimal damping was recently introduced in Ruderman and Efimov (2025) for perturbed second-order systems. The present work proposes an essential modification of the nonlinear…

Optimization and Control · Mathematics 2025-12-08 Michael Ruderman , Denis Efimov

Obtaining prescribed accuracy bounds in super-twisting sliding mode control loops often falls short in terms of the applicability of the controller in high-performance systems. This is due to the fact that the selection of the controller…

Systems and Control · Electrical Eng. & Systems 2022-06-29 Dimitrios Papageorgiou

This paper investigates the stability properties and performance of super-twisting sliding-mode control loops subject to periodic perturbations. Although there exist conditions on the control gains that guarantee finite-time stability of…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Dimitrios Papageorgiou , Christopher Edwards

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

Optimization and Control · Mathematics 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

In this paper, the problem of output feedback sliding mode control of linear sampled-data multi-input multi-output systems is considered. Existing sliding mode control schemes can attenuate the influence of an external disturbance by…

Systems and Control · Computer Science 2019-04-16 Thang Nguyen , Christopher Edwards , Vahid Azimi , Wu-Chung Su

This work addresses the modelling and control aspects for quadcopter or drone unmanned aerial vehicles (UAVs). First, the mathematical model of the drone is derived by identifying significant parameters and the negligible ones are treated…

Systems and Control · Computer Science 2018-03-22 Van Truong Hoang , Quang Hieu Pham

Switching time optimization arises in finite-horizon optimal control for switched systems where, given a sequence of continuous dynamics, one minimizes a cost function with respect to the switching times. We propose an efficient method for…

Optimization and Control · Mathematics 2017-05-09 Bartolomeo Stellato , Sina Ober-Blöbaum , Paul J. Goulart

This paper deals with time-optimal control of nonlinear continuous-time systems based on direct collocation. The underlying discretization grid is variable in time, as the time intervals are subject to optimization. This technique differs…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Christoph Rösmann , Artemi Makarow , Torsten Bertram

This paper proposes a sliding mode controller with smooth control effort for a class of nonlinear plants. The proposed controller is created by allowing some constant parameters of the earlier smooth sliding control (SSC) to vary as a…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Alessandro Jacoud Peixoto , Wenderson G. Serrantola , Fernando Lizarralde

Motivated by the concept of Quasi-Sliding Mode (QSM) in discrete-time systems, this paper presents a novel approach that relaxes the requirement of ubiquitous exact sliding motion in continuous-time systems, aiming to achieve an…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Pankaj K Mishra , Pushpak Jagtap

This paper proposes a new adaptation methodology to find the control inputs for a class of nonlinear systems with time-varying bounded uncertainties. The proposed method does not require any prior knowledge of the uncertainties including…

Optimization and Control · Mathematics 2018-03-16 Yi-Wen Liao , Selina Pan , Francesco Borrelli , J. Karl Hedrick

In this paper, we investigate the global robust stabilization of linear time-invariant systems by using event-triggered sliding mode control (SMC). Different from the practical sliding mode band, which is commonly used in previous studies…

Optimization and Control · Mathematics 2025-09-17 Bangxin Jiang , Ying Liu , Yang Liu , Jianquan Lu , Weihua Gui

This paper applies the recently developed framework for integral control on nonlinear spaces to two non-standard cases. First, we show that the property of perfect target stabilization in presence of actuation bias holds also if this bias…

Optimization and Control · Mathematics 2016-03-18 Zhifei Zhang , Zhihao Ling , Alain Sarlette

We deduce stability results for finite control set and mixed-integer model predictive control with a downstream oversampling phase. The presentation rests upon the inherent robustness of model predictive control with stabilizing terminal…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Artemi Makarow , Christian Kirches