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We propose a robust model predictive control (MPC) method for discrete-time linear time-invariant systems with norm-bounded additive disturbances and model uncertainty. In our method, at each time step we solve a finite time robust optimal…

系统与控制 · 电气工程与系统科学 2021-11-11 Shaoru Chen , Nikolai Matni , Manfred Morari , Victor M. Preciado

We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS)…

系统与控制 · 电气工程与系统科学 2023-01-03 Luca Furieri , Clara Lucía Galimberti , Giancarlo Ferrari-Trecate

For linear time-invariant (LTI) systems, the design of an optimal controller is a commonly encountered problem in many applications. Among all the optimization approaches available, the linear quadratic regulator (LQR) methodology certainly…

最优化与控制 · 数学 2022-03-29 Zilong Cheng , Jun Ma , Xiaocong Li , Masayoshi Tomizuka , Tong Heng Lee

Biological and advanced cyberphysical control systems often have limited, sparse, uncertain, and distributed communication and computing in addition to sensing and actuation. Fortunately, the corresponding plants and performance…

系统与控制 · 电气工程与系统科学 2019-07-08 Yuh-Shyang Wang , Nikolai Matni , John C. Doyle

Design of optimal distributed linear feedback controllers to achieve a desired aggregate behavior, while simultaneously satisfying state and input constraints, is a challenging but important problem in many applications. System level…

最优化与控制 · 数学 2022-11-07 Panagiotis D. Grontas , Michael W. Fisher , Florian Dörfler

In this paper, we present an equivalent convex optimization formulation for discrete-time stochastic linear systems subject to linear chance constraints, alongside a tight convex relaxation for quadratic chance constraints. By lifting the…

系统与控制 · 电气工程与系统科学 2026-03-23 Tanmay Dokania , Yashwanth Kumar Nakka

We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

系统与控制 · 电气工程与系统科学 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

最优化与控制 · 数学 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state…

最优化与控制 · 数学 2022-06-07 Lauren Conger , Shih-Hao Tseng

In this paper, we propose a sparsity-promoting feedback control design for stochastic linear systems with multiplicative noise. The objective is to identify a sparse control architecture that optimizes the closed-loop performance while…

最优化与控制 · 数学 2022-08-22 Yi Guo , Ognjen Stanojev , Gabriela Hug , Tyler Summers

We study in this paper a class of constrained linear-quadratic (LQ) optimal control problem formulations for the scalar-state stochastic system with multiplicative noise, which has various applications, especially in the financial risk…

系统与控制 · 计算机科学 2017-09-19 Weipin Wu , Jianjun Gao , Duan Li , Yun Shi

This paper addresses the problem of optimally controlling nonlinear systems with norm-bounded disturbances and parametric uncertainties while robustly satisfying constraints. The proposed approach jointly optimizes a nominal nonlinear…

系统与控制 · 电气工程与系统科学 2023-09-14 Antoine P. Leeman , Jerome Sieber , Samir Bennani , Melanie N. Zeilinger

In this paper, we consider the robust closed-loop model predictive control (MPC) of a linear time-variant (LTV) system with norm bounded disturbances and LTV model uncertainty, wherein a series of constrained optimal control problems (OCPs)…

最优化与控制 · 数学 2020-06-16 Shaoru Chen , Han Wang , Manfred Morari , Victor M. Preciado , Nikolai Matni

Linear-quadratic regulator (LQR) is a landmark problem in the field of optimal control, which is the concern of this paper. Generally, LQR is classified into state-feedback LQR (SLQR) and output-feedback LQR (OLQR) based on whether the full…

最优化与控制 · 数学 2024-04-16 Lechen Feng , Yuan-Hua Ni

System level synthesis is a promising approach that formulates structured optimal controller synthesis problems as convex problems. This work solves the distributed linear-quadratic regulator problem under communication constraints directly…

系统与控制 · 电气工程与系统科学 2022-10-31 Olle Kjellqvist , Jing Yu

We propose a convex controller synthesis framework for a large class of constrained linear systems, including those described by (deterministic and stochastic) partial differential equations and integral equations, commonly used in fluid…

最优化与控制 · 数学 2025-06-24 Lauren Conger , Antoine P. Leeman , Franca Hoffmann

This paper studies the finite-horizon robust optimal control of constrained linear systems subject to model mismatch and additive stochastic disturbances. Utilizing the system level synthesis (SLS) parameterization, we propose a novel SLS…

最优化与控制 · 数学 2025-10-09 Yun Li , Jicheng Shi , Colin N. Jones , Neil Yorke-Smith , Tamas Keviczky

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

系统与控制 · 计算机科学 2018-07-13 Matthew M. Peet

This paper addresses the problem of control synthesis for nonlinear optimal control problems in the presence of state and input constraints. The presented approach relies upon transforming the given problem into an infinite-dimensional…

最优化与控制 · 数学 2017-03-03 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

This paper investigates a model-free solution to the stochastic linear quadratic regulation (LQR) problem for linear discrete-time systems with both multiplicative and additive noises. We formulate the stochastic LQR problem as a nonconvex…

最优化与控制 · 数学 2025-12-25 Jing Guo , Xiushan Jiang , Weihai Zhang
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