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We propose a simple and computationally efficient approach for designing a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertainty is modeled as an additive disturbance and an additive error on the…

系统与控制 · 电气工程与系统科学 2021-03-24 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R. Stürz , Francesco Borrelli

This paper considers enforcing safety and stability of dynamical systems in the presence of model uncertainty. Safety and stability constraints may be specified using a control barrier function (CBF) and a control Lyapunov function (CLF),…

最优化与控制 · 数学 2023-03-17 Kehan Long , Yinzhuang Yi , Jorge Cortes , Nikolay Atanasov

In this paper, we investigate discounted economic model predictive control (E-MPC) schemes without terminal conditions in scenarios where the optimal operating behavior is a periodic orbit. For such a setting, it is known that a linearly…

最优化与控制 · 数学 2025-03-13 Lukas Schwenkel , Daniel Briem , Matthias A. Müller , Frank Allgöwer

We propose a novel robust Model Predictive Control (MPC) scheme for nonlinear multi-input multi-output systems of relative degree one with stable internal dynamics. The proposed algorithm is a combination of funnel MPC, i.e., MPC with a…

最优化与控制 · 数学 2023-12-13 Thomas Berger , Dario Dennstädt , Lukas Lanza , Karl Worthmann

This paper develops a technique for computing a quadratic terminal cost for linear model predictive controllers that is valid for all states in the maximal control invariant set. This maximizes the set of recursively feasible states for the…

最优化与控制 · 数学 2024-06-06 Mikael Johansson , Hamed Taghavian

We present Contingency Model Predictive Control (CMPC), a motion planning and control framework that optimizes performance objectives while simultaneously maintaining a contingency plan -- an alternate trajectory that avoids a potential…

系统与控制 · 电气工程与系统科学 2021-03-02 John P. Alsterda , J. Christian Gerdes

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

We consider the problem of computing equilibria (steady-states) for droop-controlled, islanded, AC microgrids that are both economic-optimal and dynamically stable. This work is motivated by the observation that classical optimal power flow…

最优化与控制 · 数学 2020-02-25 Sungho Shin , Victor M. Zavala

A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise. Closed-loop stability of the SMPC approach is…

系统与控制 · 计算机科学 2015-03-17 Joel A. Paulson , Stefan Streif , Ali Mesbah

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

机器人学 · 计算机科学 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

We present an alternative view for the study of optimal control of partially observed Markov Decision Processes (POMDPs). We first revisit the traditional (and by now standard) separated-design method of reducing the problem to fully…

最优化与控制 · 数学 2024-12-20 Serdar Yüksel

We consider discrete-time infinite horizon deterministic optimal control problems with nonnegative cost per stage, and a destination that is cost-free and absorbing. The classical linear-quadratic regulator problem is a special case. Our…

最优化与控制 · 数学 2017-12-20 Dimitri P. Bertsekas

Optimal stabilization of safety-critical nonlinear systems requires balancing long-term performance and strict safety constraints. Existing quadratic-programming-based control barrier function (CBF) safety filters are point-wise and may…

系统与控制 · 电气工程与系统科学 2026-04-13 Zhanglin Shangguan , Wei Xiao , Qi Li , Bo Yang , Xinping Guan

We study finite-horizon budget allocation as a closed-loop economic control problem and evaluate receding-horizon Model Predictive Control (MPC) relative to reactive budgeting policies. Budgets are allocated periodically under execution…

系统与控制 · 电气工程与系统科学 2026-05-01 Nilavra Pathak , Smriti Shyamal , Prasant Mhasker , Christopher Swartz

The property that every control system should posses is stability, which translates into safety in real-life applications. A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions…

其他计算机科学 · 计算机科学 2010-04-01 M. Lazar

This paper discusses a novel probabilistic approach for the design of robust model predictive control (MPC) laws for discrete-time linear systems affected by parametric uncertainty and additive disturbances. The proposed technique is based…

系统与控制 · 计算机科学 2013-07-16 Giuseppe C. Calafiore , Lorenzo Fagiano

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

系统与控制 · 计算机科学 2017-01-13 R. V. Bobiti , M. Lazar

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

系统与控制 · 电气工程与系统科学 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

系统与控制 · 电气工程与系统科学 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone