Georgios Stathopoulos

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This work presents an algorithmic scheme for solving the infinite-time constrained linear quadratic regulation problem. We employ an accelerated version of a popular proximal gradient scheme, commonly known as the Forward-Backward Splitting (FBS), and prov ...

This paper presents an algorithm to solve the infinite horizon constrained linear quadratic regulator (CLQR) problem using operator splitting methods. First, the CLQR problem is reformulated as a (finite-time) model predictive control (MPC) problem without ...

The significant progress that has been made in recent years both in hardware implementations and in numerical computing has rendered real-time optimization-based control a viable option when it comes to advanced industrial applications. At the same time, t ...

A method for certifying exact input trackability for constrained discrete time linear systems is introduced in this paper. A signal is assumed to be drawn from a reference set and the system must track this signal with a linear combination of its inputs. U ...

The need for optimal control of processes under a restricted amount of resources renders first order optimization methods a viable option. Although computationally cheap, these methods typically suffer from slow convergence rates. In this work we discuss t ...

This paper presents a method to solve the constrained infinite-time linear quadratic regulator (LQR) problem. We use an operator splitting technique, namely the alternating minimization algorithm (AMA), to split the problem into an unconstrained LQR proble ...

The optimal power flow (OPF) problem, a fundamental problem in power systems, is generally nonconvex and computationally challenging for networks with an increasing number of smart devices and real-time control requirements. In this paper, we first investi ...

We propose a way to estimate the value function of a convex proximal minimization problem. The scheme constructs a convex set within which the optimizer resides and iteratively refines the set every time that the value function is sampled, namely every tim ...

Georgios Stathopoulos

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Solving the Infinite-horizon Constrained LQR Problem using Accelerated Dual Proximal Methods

Constrained LQR Using Online Decomposition Techniques

Distributed Optimization and Control using Operator Splitting Methods

Guaranteeing Input Tracking For Constrained Systems: Theory and Application to Demand Response

Splitting methods in control

Solving the infinite-horizon constrained LQR problem using splitting techniques

Real-Time Distributed Algorithms for Nonconvex Optimal Power Flow

A coordinator-driven communication reduction scheme for distributed optimization using the projected gradient method

A hierarchical time-splitting approach for solving finite-time optimal control problems

Operator Splitting Methods in Control

Supplementary material for the paper: A coordinator-driven communication reduction scheme for distributed optimization using the projected gradient method