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Trajectory tracking of nonlinear dynamical systems with affine open-loop controls is investigated. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. We introduce exactly…

Optimization and Control · Mathematics 2016-03-03 Jakob Löber

This paper presents an adaptive tracking control method for a class of nonlinearly parameterized MIMO dynamic systems with time-varying delay and unknown nonlinear dead-zone inputs. A new high dimensional integral Lyapunov-Krasovskii…

Systems and Control · Computer Science 2015-06-26 Zhijun Li , Ziting Chen , Jun Fu , Changyin Sun

In this paper we consider trajectory tracking problem for robotic systems affected by unknown external perturbations. Considering possible solutions, we restrict our attention to composite adaptation, which, particularly, ensures parametric…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Anton Glushchenko , Konstantin Lastochkin

A high-gain extended observer is designed for a class of nonlinear uncertain systems. This observer has the ability of estimating system uncertainty, and it can be used to estimate the derivatives of signal up to order n. The controller…

Systems and Control · Electrical Eng. & Systems 2023-02-13 Xinhua Wang , Zengqiang Chen , Zhuzhi Yuan

Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain…

Optimization and Control · Mathematics 2026-01-13 Xuehui Ma , Shiliang Zhang , Zhiyong Sun , Xiaohui Zhang , Sabita Maharjan

This paper considers the problem of steering the state distribution of a nonlinear stochastic system from an initial Gaussian to a terminal distribution with a specified mean and covariance, subject to probabilistic path constraints. An…

Optimization and Control · Mathematics 2019-09-16 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

This paper introduces a nonlinear optimal guidance framework for guiding a pursuer to intercept a moving target, with an emphasis on real-time generation of optimal feedback control for a nonlinear optimal control problem. Initially,…

Optimization and Control · Mathematics 2025-04-11 Han Wang , Zheng Chen

Learning to control unknown nonlinear dynamical systems is a fundamental problem in reinforcement learning and control theory. A commonly applied approach is to first explore the environment (exploration), learn an accurate model of it…

Machine Learning · Computer Science 2023-06-16 Andrew Wagenmaker , Guanya Shi , Kevin Jamieson

We present a new algorithm for model predictive control of non-linear systems with respect to multiple, conflicting objectives. The idea is to provide a possibility to change the objective in real-time, e.g.~as a reaction to changes in the…

Optimization and Control · Mathematics 2018-08-02 Sebastian Peitz , Kai Schäfer , Sina Ober-Blöbaum , Julian Eckstein , Ulrich Köhler , Michael Dellnitz

The paper considers the design of a nonlinear dissipative impulsive observer based on non-periodic discrete-time measurements. Sufficient conditions are derived for (i) exponential convergence of the observer in absence of measurement…

Systems and Control · Electrical Eng. & Systems 2020-06-09 A. Schaum , P. Feketa , T. Meurer , J. A. Moreno

Differentially flat models are frequently used to design feedforward controllers for electromechanical systems. However, control performance depends on model accuracy, which makes feedback imperative. This paper presents a control scheme…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Eloy Serrano-Seco , Edgar Ramirez-Laboreo , Eduardo Moya-Lasheras

A novel method of an adaptive linear quadratic (LQ) regulation of uncertain continuous linear time-invariant systems is proposed. Such an approach is based on the direct self-tuning regulators design framework and the exponentially stable…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

Autonomous agents are often tasked with operating in an area where feedback is unavailable. Inspired by such applications, this paper develops a novel switched systems-based control method for uncertain nonlinear systems with temporary loss…

Systems and Control · Computer Science 2018-03-16 Hsi-Yuan Chen , Zachary I. Bell , Patryk Deptula , Warren E. Dixon

Incremental input-to-state stability (delta-ISS) offers a robust framework to ensure that small input variations result in proportionally minor deviations in the state of a nonlinear system. This property is essential in practical…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Mahdieh Zaker , David Angeli , Abolfazl Lavaei

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

We provide an algorithm for the simultaneous system identification and model predictive control of nonlinear systems. The algorithm has finite-time near-optimality guarantees and asymptotically converges to the optimal (non-causal)…

Robotics · Computer Science 2025-11-04 Hongyu Zhou , Vasileios Tzoumas

This paper presents a novel robust predictive controller for constrained nonlinear systems that is able to track piece-wise constant setpoint signals. The tracking model predictive controller presented in this paper extends the nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Marco Polver , Daniel Limon , Fabio Previdi , Antonio Ferramosca

Composite adaptive control schemes, which use both the system tracking errors and the prediction error to drive the update laws, have become widespread in achieving an improvement of system performance. However, a strong…

Systems and Control · Computer Science 2018-04-19 Yuling Li , Yixin Yin , Sen Zhang , Jie Dong , Rolf Johansson

Soft robots manufactured with flexible materials can be highly compliant and adaptive to their surroundings, which facilitates their application in areas such as dexterous manipulation and environmental exploration. This paper aims at…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Renjie Ma , Ziyao Qu , Zhijian Hu , Dong Zhao , Marios M. Polycarpou

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue