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This paper compares the performance of a decentralized proportional-integral-derivative (PID) controller, a linear model predictive controller (LMPC), and a nonlinear model predictive controller (NMPC) applied to a quadruple tank system…

This paper deals with the analysis and synthesis of a model predictive control (MPC) strategy used in connection with level control in conically shaped industrial liquid storage tanks. The MPC is based on a dynamical non-linear model…

Systems and Control · Computer Science 2018-10-03 Martin Klaučo , Ľuboš Čirka

This paper introduces a new multi-model predictive control (MMPC) method for quadrotor attitude control with performance nearly on par with nonlinear model predictive control (NMPC) and computational efficiency similar to linear model…

Robotics · Computer Science 2024-06-25 Mohammadreza Izadi , Zeinab Shayan , Reza Faieghi

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

In this paper, we present efficient solutions for the nonlinear program (NLP) associated with nonlinear model predictive control (NMPC) by leveraging the linear parameter-varying (LPV) embedding of nonlinear models and sequential quadratic…

Optimization and Control · Mathematics 2025-02-19 Dimitrios S. Karachalios , Hossam S. Abbas

This paper presents a parallel Monte Carlo simulation based performance quantification method for nonlinear model predictive control (NMPC) in closed-loop. The method provides distributions for the controller performance in stochastic…

Systems and Control · Electrical Eng. & Systems 2023-06-22 Morten Wahlgreen Kaysfeld , Mario Zanon , John Bagterp Jørgensen

Nonlinear Model Predictive Control (NMPC) is widely used for controlling high-speed robotic systems such as quadrotors. However, its significant computational demands often hinder real-time feasibility and reliability, particularly in…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Saber Omidi

Distributed parameter systems (DPS) are formulated as partial differential equations (PDE). Especially, under time-varying boundary conditions, PDE introduce force coupling. In the case of the flexible stacker crane (STC), nonlinear…

Optimization and Control · Mathematics 2025-01-28 Joe Ismail , Steven Liu

Nonlinear Model Predictive Control (NMPC) is a powerful approach for controlling highly dynamic robotic systems, as it accounts for system dynamics and optimizes control inputs at each step. However, its high computational complexity makes…

Robotics · Computer Science 2026-02-27 Van Chung Nguyen , Pratik Walunj , Chuong Le , An Duy Nguyen , Hung Manh La

Learning-based control methods are an attractive approach for addressing performance and efficiency challenges in robotics and automation systems. One such technique that has found application in these domains is learning-based model…

Optimization and Control · Mathematics 2014-04-11 Anil Aswani , Patrick Bouffard , Xiaojing Zhang , Claire Tomlin

Nonlinear Model Predictive Control (NMPC) is a general and flexible control approach, used in many industrial contexts, and is based on the online solution of a nonlinear optimization problem. This operation requires in general a high…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carlo Novara , Mattia Boggio , Deborah Volpe

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

Robotics · Computer Science 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

Accurate trajectory tracking is an essential characteristic for the safe navigation of a quadrotor in cluttered or disturbed environments. In this paper, we present in detail two state-of-the-art model-based control frameworks for…

Robotics · Computer Science 2024-11-12 Thanh Nguyen Canh , Huy-Hoang Ngo , Anh Viet Dang , Xiem HoangVan

Online optimal control of quadruped robots would enable them to adapt to varying inputs and changing conditions in real time. A common way of achieving this is linear model predictive control (LMPC), where a quadratic programming (QP)…

Robotics · Computer Science 2025-08-13 Chun-Ming Yang , Pranav A. Bhounsule

A multirate nonlinear model predictive control (NMPC) strategy is proposed for systems with dynamics and control inputs evolving on different timescales. The proposed multirate formulation of the system model and receding horizon optimal…

Optimization and Control · Mathematics 2022-07-05 Yana Lishkova , Mark Cannon , Sina Ober-Blöbaum

This paper focuses on the trajectory tracking control problem for an articulated unmanned ground vehicle. We propose and compare two approaches in terms of performance and computational complexity. The first uses a nonlinear mathematical…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Erkan Kayacan , Wouter Saeys , Herman Ramon , Calin Belta , Joshua M. Peschel

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in…

Optimization and Control · Mathematics 2015-09-10 Andrew Knyazev , Yuta Fujii , Alexander Malyshev

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

Online optimal control of quadrupedal robots would enable them to plan their movement in novel scenarios. Linear Model Predictive Control (LMPC) has emerged as a practical approach for real-time control. In LMPC, an optimization problem…

Robotics · Computer Science 2025-07-22 Chun-Ming Yang , Pranav A. Bhounsule

This study presents the design, discretization and implementation of the continuous-time linear-quadratic model predictive control (CT-LMPC). The control model of the CT-LMPC is parameterized as transfer functions with time delays, and they…

Optimization and Control · Mathematics 2025-03-18 Zhanhao Zhang , Anders Hilmar Damm Christensen , Steen Hørsholt , John Bagterp Jørgensen
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