Publications related to Robust stability properties of soft constrained MPC

MPC for tracking periodic reference signals

Colin Neil Jones, Melanie Nicole Zeilinger

This paper is devoted to the design of a predictive controller for constrained linear systems to track periodic references. The only assumption on the dynamics of the reference is that it is periodic and its period is known. It is also assumed that the ref ...

2012

On the stability of traffic perimeter control in two-region urban cities

Nikolaos Geroliminis, Jack Haddad

In this paper, stability analysis of traffic control for two-region urban cities is treated. It is known in control theory that optimality does not imply stability. If the optimal control is applied in a heavily congested system with high demand, traffic c ...

Elsevier2012

Distributed Synthesis and Control of Constrained Linear Systems

Colin Neil Jones, Melanie Nicole Zeilinger

This work presents an approach for both distributed synthesis and control for a network of discrete-time constrained linear systems without central coordinator. Every system in the network is dynamically coupled to a number of neighboring systems and it is ...

2012

Distributed Synthesis and Control of Constrained Linear Systems

Colin Neil Jones, Melanie Nicole Zeilinger

This work presents an approach for both dis- tributed synthesis and control for a network of discrete-time constrained linear systems without central coordinator. Every system in the network is dynamically coupled to a number of neighboring systems and it ...

2012

Tube-based distributed control of linear constrained systems

Giancarlo Ferrari Trecate

In this paper we consider a linear system structured into physically coupled subsystems and propose an innovative distributed control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states. Our method h ...

2012

Tube-based distributed control of linear constrained systems

Giancarlo Ferrari Trecate

In this paper we consider a linear system structured into physically coupled subsystems and propose an innovative distributed control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states. Our method h ...

2012

On stable self-similar blow up for equivariant wave maps: The linearized problem

Roland Donninger

We consider co-rotational wave maps from (3+1) Minkowski space into the three-sphere. This is an energy supercritical model which is known to exhibit finite time blow up via self-similar solutions. The ground state self-similar solution

f_0

is known in c ...

2012

Data-driven model reference control with asymptotically guaranteed stability

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

This paper presents a data-driven controller tuning method that includes a set of constraints for ensuring closed-loop stability. The approach requires a single experiment and can also be applied to nonminimum-phase or unstable systems. The tuning scheme u ...

Wiley-Blackwell2011

Input-to-state stabilization of feasible model predictive controllers for linear systems

Colin Neil Jones, Melanie Nicole Zeilinger

Research on sub-optimal Model Predictive Control (MPC) has led to a variety of optimization methods based on explicit or online approaches, or combinations thereof. Its foremost aim is to guarantee essential controller properties, i.e. recursive feasibilit ...

2011

A robust explicit nonlinear mpc controller with input-to- state stability guarantees

Colin Neil Jones

This article presents an algorithm for robust nonlinear explicit model predictive control. A low complexity receding horizon control law is obtained by approximating the optimal control law using multiscale basis function approximation. Feasibility and inp ...

2011

Robust stability properties of soft constrained MPC

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MPC for tracking periodic reference signals

On the stability of traffic perimeter control in two-region urban cities

Distributed Synthesis and Control of Constrained Linear Systems

Distributed Synthesis and Control of Constrained Linear Systems

Tube-based distributed control of linear constrained systems

Tube-based distributed control of linear constrained systems

On stable self-similar blow up for equivariant wave maps: The linearized problem

Data-driven model reference control with asymptotically guaranteed stability

Input-to-state stabilization of feasible model predictive controllers for linear systems

A robust explicit nonlinear mpc controller with input-to- state stability guarantees

Tube-based distributed control of linear constrained systems

Distributed Synthesis and Control of Constrained Linear Systems

On stable self-similar blow up for equivariant wave maps: The linearized problem

On the stability of traffic perimeter control in two-region urban cities

MPC for tracking periodic reference signals

Input-to-state stabilization of feasible model predictive controllers for linear systems

Distributed Synthesis and Control of Constrained Linear Systems

Tube-based distributed control of linear constrained systems

Data-driven model reference control with asymptotically guaranteed stability

A robust explicit nonlinear mpc controller with input-to- state stability guarantees