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Classical proportional--integral--derivative (PID) control is widely employed in industrial applications; however, achieving higher performance often motivates the adoption of model predictive control (MPC). Although gradient-based methods…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Teruki Kato , Koshi Oishi , Seigo Ito

This paper introduces a data-based integral sliding mode control scheme for robustification of model-reference controllers, accommodating generic multivariable linear systems with unknown dynamics and affected by matched disturbances.…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Giorgio Riva , Gian Paolo Incremona , Simone Formentin , Antonella Ferrara

To reduce the chattering and overestimation phenomena existing in classical adaptive sliding mode control, this paper presents a new class K_infinity function-based adaptive sliding mode control scheme. Two controllers are proposed in terms…

Systems and Control · Electrical Eng. & Systems 2020-12-07 J. Song , Z. Zuo , M. Basin

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

Optimization and Control · Mathematics 2025-05-20 Michael Ruderman

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints. The present paper considers an extension of MPC for nonlinear systems that can be…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Mohammadreza Kamaldar , Dennis S. Bernstein

Continuous higher order sliding mode (CHOSM) controllers represent an efficient tool for disturbance rejection. For the systems with relative degree r, CHOSM approaches provide theoretically exact compensation of the matched Lipschitz…

Systems and Control · Electrical Eng. & Systems 2024-10-17 Michael Ruderman , Johann Reger , Benjamin Calmbach , Leonid Fridman

Proportional-integral-derivative (PID) control is the most widely used in industrial control, robot control and other fields. However, traditional PID control is not competent when the system cannot be accurately modeled and the operating…

Robotics · Computer Science 2021-07-13 Xinyi Yu , Yuehai Fan , Siyu Xu , Linlin Ou

This paper study the parameter selection of predefined-time sliding mode and try to design a general nonsingular predefined-time terminal sliding mode. 1). On parameter selection: Some existing predefined-time sliding modes are designed to…

Optimization and Control · Mathematics 2020-10-07 Wen Yan

In this paper we deal with a feedback control design for the action potential of a neuronal membrane in relation with the non-linear dynamics of the Hodgkin-Huxley mathematical model. More exactly, by using an external current as a control…

Optimization and Control · Mathematics 2020-04-22 Cecilia Cavaterra , Denis Enachescu , Gabriela Marinoschi

Precision motion systems are at the core of various manufacturing equipment. The rapidly increasing demand for higher productivity necessitates higher control bandwidth in the motion systems to effectively reject disturbances while…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Jingjie Wu , Lei Zhou

Overall, in any system, the proportional term, integral term, and derivative term combined to produce a fast response time, less overshoot, no oscillations, increased stability, and no steady-state errors. Eliminating the steady state…

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

Optimization and Control · Mathematics 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

This article develops and proposes a geometric nonlinear proportional-integral-derivative (PID) type tracking control scheme on the Lie group of rigid body rotations, SO(3). Like PD-type attitude tracking control schemes that have been…

Systems and Control · Electrical Eng. & Systems 2019-09-17 Hossein Eslamiat , Ningshan Wang , Amit K. Sanyal

Analog-to-digital conversion (ADC) and uncertainties in modeling the plant dynamics are the main sources of imprecisions in the design cycle of model-based controllers. These implementation and model uncertainties should be addressed in the…

Optimization and Control · Mathematics 2017-06-08 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan , J. Karl Hedrick

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

This paper extends sliding-mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well-defined vector fields on quotient…

Optimization and Control · Mathematics 2025-09-17 Fernando Castaños

We present a sampling-based control approach that can generate smooth actions for general nonlinear systems without external smoothing algorithms. Model Predictive Path Integral (MPPI) control has been utilized in numerous robotic…

Robotics · Computer Science 2025-10-15 Taekyung Kim , Gyuhyun Park , Kiho Kwak , Jihwan Bae , Wonsuk Lee

Mobile robotic manipulators (MRMs), which integrate mobility and manipulation capabilities, present significant control challenges due to their nonlinear dynamics, underactuation, and coupling between the base and manipulator subsystems.…

Robotics · Computer Science 2025-11-21 Luis Luna , Isaac Chairez , Andrey Polyakov

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
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