activity
20142023
most citedOn the Sample Complexity of the Linear Quadratic Regulator

94 citations · 391 across the 65 of their papers we have counts for

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Showing 2019 · math.OCShow all

9 papers · 2 filters

math.OC2019★ 1 cited

Robust Closed-loop Model Predictive Control via System Level Synthesis

Shaoru Chen, Han Wang, Manfred Morari +2

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, whe…

math.OC2019★ 8 cited

Efficient Learning of Distributed Linear-Quadratic Controllers

Salar Fattahi, Nikolai Matni, Somayeh Sojoudi

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distribute…

math.OC2019

Robust Performance Guarantees for System Level Synthesis

Nikolai Matni, Anish A. Sarma

We generalize the system level synthesis framework to systems defined by bounded causal linear operators, and use this parameterization to make connections between robust system le…

math.OC2019★ 8 cited

Distributed and Localized Model Predictive Control via System Level Synthesis

Carmen Amo Alonso, Nikolai Matni

We present the Distributed and Localized Model Predictive Control (DLMPC) algorithm for large-scale structured linear systems, wherein only local state and model information needs…

math.OC2019★ 34 cited

Robust Guarantees for Perception-Based Control

Sarah Dean, Nikolai Matni, Benjamin Recht +1

Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicl…

math.OC2019★ 2 cited

A Tutorial on Concentration Bounds for System Identification

Nikolai Matni, Stephen Tu

We provide a brief tutorial on the use of concentration inequalities as they apply to system identification of state-space parameters of linear time invariant systems, with a focus…

math.OC2019★ 15 cited

From self-tuning regulators to reinforcement learning and back again

Nikolai Matni, Alexandre Proutiere, Anders Rantzer +1

Machine and reinforcement learning (RL) are increasingly being applied to plan and control the behavior of autonomous systems interacting with the physical world. Examples include…

math.OC2019★ 2 cited

System Level Synthesis

James Anderson, John C. Doyle, Steven Low +1

This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how…

math.OC2019★ 2 cited

Sparsity Preserving Discretization With Error Bounds

James Anderson, Nikolai Matni, Yuxiao Chen

Typically when designing distributed controllers it is assumed that the state-space model of the plant consists of sparse matrices. However, in the discrete-time setting, if one be…