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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

In this paper, two classes of continuous higher order adaptive sliding mode controllers based on barrier functions are developed for a perturbed chain of integrators with unbounded perturbations. Both classes provide finite-time convergence…

Optimization and Control · Mathematics 2022-06-23 Yacine Chitour , Hussein Obeid , Salah Laghrouche , Leonid Fridman

In this thesis, advanced design technique in sliding mode control (SMC) is presented with focus on PID (Proportional-Integral-Derivative) type Sliding surfaces based Sliding mode control with improved power rate exponential reaching law for…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Kirtiman Singh

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Pratik Vernekar , Vitthal Bandal

This study presents a novel, continuous finite-time control strategy for a class of nonlinear systems subject to matched uncertainties with unknown bounds. We propose an Adaptive Disturbance Observer-based Full-order Integral-Terminal…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Jit Koley , Binoy Krishna Roy

In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Moussa Labbadi , Denis Efimov , Leonid Fridman

This paper develops a unified frequency-domain framework for the analysis of sliding-mode control systems, encompassing both discontinuous and Lipschitz-continuous implementations. Using describing function (DF) theory, closed-form…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Ulises Pérez-Ventura

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In…

Systems and Control · Computer Science 2018-09-18 Neng Wan , Dapeng Li , Naira Hovakimyan

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

Sensitivity of linear continuous-time control systems, subject to control and measurement noise, is analyzed by deriving the lower bounds of Bode-like integrals via an information-theoretic approach. Bode integrals of four different…

Systems and Control · Computer Science 2018-11-27 Neng Wan , Dapeng Li , Naira Hovakimyan

Sliding mode control (SMC) is a robust and computationally efficient solution for tracking control problems of highly nonlinear systems with a great deal of uncertainty. High frequency oscillations due to chattering phenomena and…

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

This paper is concerned with mismatched disturbance rejection control for the second-order discrete-time systems.Different from previous work, the controllability of the system is applied to design the disturbance compensation gain, which…

Optimization and Control · Mathematics 2022-05-04 Shichao Lv , Kai Peng , Hongxia Wang , Huanshui Zhang

The PID controller remains the most widely adopted control architecture, with groundbreaking success across extensive implications. However, optimal parameter tuning for PID controller remains a critical challenge. Existing theories…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Zimao Sheng , Hongan Yang , Jiakang Wang , Tong Zhang

A variety of control systems have been proposed for aircraft autopilot systems. Traditional approaches such as proportional controller and conventional PID (CPID) controller are widely used. PID controller has a good static performance…

Systems and Control · Computer Science 2015-10-12 Nima Beygi , Maani Beigy , Mehdi Siahi

According to the well-known loop shaping method for the design of controllers, the performance of the controllers in terms of step response, steady-state disturbance rejection and noise attenuation and robustness can be improved by…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Nima Karbasizadeh , S. Hassan HosseinNia

This thesis is concerned with the rejection of time-varying disturbances in linear model predictive control of discrete-time systems. In the literature, disturbances are widely rejected by using velocity models, disturbance model with…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Isah Abdulrasheed Jimoh

We present a new method for the automated synthesis of safe and robust Proportional-Integral-Derivative (PID) controllers for stochastic hybrid systems. Despite their widespread use in industry, no automated method currently exists for…

Systems and Control · Computer Science 2017-09-08 Fedor Shmarov , Nicola Paoletti , Ezio Bartocci , Shan Lin , Scott A. Smolka , Paolo Zuliani

This paper proposes a practical implementation of sliding mode control (SMC) that utilizes partial modeling compensation. Sliding mode control is well known for its effectiveness as a model free control approach, however, its effectiveness…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Gangfeng Yan , Khalid Abidi
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