Concept

Convex analysis

Related publications (151)

Robust Tracking Commitment

Colin Neil Jones, Tomasz Tadeusz Gorecki, Altug Bitlislioglu

Many engineering problems that involve hierarchical control applications, such as demand side ancillary service provision to the power grid, can be posed as a robust tracking commitment problem. In this setting, the lower-level controller commits a set of ...

2017

Data-Driven Controller Design for Atomic-Force Microscopy

Alireza Karimi, Georg Fantner, Adrian Pascal Nievergelt, Christoph Manuel Kammer

A novel method to design data-driven, fixed-structure controllers with H2 and H∞ performance objectives is presented. The control design problem is transformed into a convex optimization problem with linear matrix inequality constraints, which can be solve ...

2017

Complexity Certification of the Fast Alternating Minimization Algorithm for Linear MPC

Colin Neil Jones, Ye Pu, Melanie Nicole Zeilinger

In this technical note, the fast alternating minimization algorithm (FAMA) is proposed to solve model predictive control (MPC) problems with polytopic and second-order cone constraints. Two splitting strategies with efficient implementations for MPC proble ...

2017

Diffusion LMS for Multitask Problems With Local Linear Equality Constraints

Ali H. Sayed, Roula Nassif

We consider distributed multitask learning problems over a network of agents where each agent is interested in estimating its own parameter vector, also called task, and where the tasks at neighboring agents are related according to a set of linear equalit ...

2017

Real-Time Control of an Ensemble of Heterogeneous Resources

Jean-Yves Le Boudec, Andrey Bernstein, Niek Johannes Bouman

This paper focuses on the problem of controlling an ensemble of heterogeneous resources connected to an elec- trical grid at the same point of common coupling (PCC). The controller receives an aggregate power setpoint for the ensemble in real time and trac ...

2017

A Data-driven Approach to Robust Control of Multivariable Systems by Convex Optimization

Alireza Karimi, Christoph Manuel Kammer

The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of matrix polynomial fun ...

2017

Faster Coordinate Descent via Adaptive Importance Sampling

Volkan Cevher, Martin Jaggi, Dmytro Perekrestenko

Coordinate descent methods employ random partial updates of decision variables in order to solve huge-scale convex optimization problems. In this work, we introduce new adaptive rules for the random selection of their updates. By adaptive, we mean that our ...

PMLR2017

Plug-and-play Voltage Stabilization in Inverter-interfaced Microgrids via a Robust Control Strategy

Alireza Karimi

This paper proposes a decentralized control strategy for the voltage regulation of islanded inverter-interfaced micro- grids. We show that an inverter-interfaced microgrid under plug- and-play (PnP) functionality of distributed generations (DGs) can be cas ...

Institute of Electrical and Electronics Engineers2017

On Some Weighted Stokes Problems. Application on Smagorinsky Models

Jacques Rappaz, Jonathan Rochat

In this paper we study existence and uniqueness of weak solutions for some non-linear weighted Stokes problems using convex analysis. The characteri- zation of these considered equations is that the viscosity depends on the strain rate of the velocity fiel ...

Springer2016

Exact Algorithms for $ L ^{ 1 } $ -TV Regularization of Real-Valued or Circle-Valued Signals

Michaël Unser, Martin Kurt Storath

We consider

L ^{ 1 }

-TV regularization of univariate signals with values on the real line or on the unit circle. While the real data space leads to a convex optimization problem, the problem is nonconvex for circle-valued data. In this paper, we deriv ...

SIAM2016

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Exact Algorithms for $ L ^{ 1 } $ -TV Regularization of Real-Valued or Circle-Valued Signals

Michaël Unser, Martin Kurt Storath

We consider

L ^{ 1 }

SIAM2016