2 citations · 4 across the 23 of their papers we have counts for
26 papers
Value iteration with stopping criterion: finite iterations, stability, and near-optimality guarantees
Mathieu Granzotto, Romain Postoyan, Dragan Nešić +2
Value iteration (VI) is a cornerstone of dynamic programming that allows computing near-optimal feedback laws for general plant dynamics and cost functions. In practice, however, i…
Discounted LQR: stabilizing (near-)optimal state-feedback laws
Jonathan de Brusse, Jamal Daafouz, Mathieu Granzotto +2
We study deterministic, discrete linear time-invariant systems with infinite-horizon discounted quadratic cost. It is well-known that standard stabilizability and detectability pro…
An optimistic planning algorithm for switched discrete-time LQR
Mathieu Granzotto, Romain Postoyan, Dragan Nešić +2
We introduce TROOP, a tree-based Riccati optimistic online planner, that is designed to generate near-optimal control laws for discrete-time switched linear systems with switched q…
Stability criteria for singularly perturbed impulsive linear switched systems
Ihab Haidar, Yacine Chitour, Jamal Daafouz +2
We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary sw…
A Berger-Wang formula for impulsive switched systems
Yacine Chitour, Jamal Daafouz, Ihab Haidar +2
This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discr…
Mixed Regular and Impulsive Sampled-data LQR
Jamal Daafouz, Jérôme Lohéac, Romain Postoyan
We investigate the benefits of combining regular and impulsive inputs for the control of sampled-data linear time-invariant systems. We first observe that adding an impulsive term…
Discrete-Time Conewise Linear Systems with Finitely Many Switches
Jamal Daafouz, Jérôme Lohéac, Constantin Morărescu +1
We investigate discrete-time conewise linear systems (CLS) for which all the solutions exhibit a finite number of switches. By switches, we mean transitions of a solution from one…
A TBLMI Framework for Harmonic Robust Control
Flora Vernerey, Pierre Riedinger, Jamal Daafouz
The primary objective of this paper is to demonstrate that problems related to stability and robust control in the harmonic context can be effectively addressed by formulating them…
A harmonic framework for the identification of linear time-periodic systems
Flora Vernerey, Pierre Riedinger, Andrea Iannelli +1
This paper presents a novel approach for the identification of linear time-periodic (LTP) systems in continuous time. This method is based on harmonic modeling and consists in conv…
Near-optimal control of nonlinear systems with hybrid inputs and dwell-time constraints
Ioana Lal, Constantin Morarescu, Jamal Daafouz +1
We propose two new optimistic planning algorithms for nonlinear hybrid-input systems, in which the input has both a continuous and a discrete component, and the discrete component…
On solving infinite-dimensional Toeplitz Block LMIs
Flora Vernerey, Pierre Riedinger, Jamal Daafouz
This paper focuses on the resolution of infinite-dimensional Toeplitz Block LMIs, which are frequently encountered in the context of stability analysis and control design problems…
Stability analysis of optimal control problems with time-dependent costs
Sifeddine Benahmed, Romain Postoyan, Mathieu Granzotto +3
We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptot…
Solving Infinite-Dimensional Harmonic Lyapunov and Riccati equations
Pierre Riedinger, Jamal Daafouz
In this paper, we address the problem of solving infinite-dimensional harmonic algebraic Lyapunov and Riccati equations up to an arbitrary small error. This question is of major pr…
Harmonic Pole Placement
Pierre Riedinger, Jamal Daafouz
In this paper, we propose a method to design state feedback harmonic control laws that assign the closed loop poles of a linear harmonic model to some desired locations. The proced…
Exploiting homogeneity for the optimal control of discrete-time systems: application to value iteration
Mathieu Granzotto, Romain Postoyan, Lucian Buşoniu +2
To investigate solutions of (near-)optimal control problems, we extend and exploit a notion of homogeneity recently proposed in the literature for discrete-time systems. Assuming t…
Necessary and Sufficient Conditions for Harmonic Control in Continuous Time
Nicolas Blin, Pierre Riedinger, Jamal Daafouzi +2
In this paper, we revisit the concepts and tools of harmonic analysis and control and provide a rigorous mathematical answer to the following question: when does an harmonic contro…
Studying Node Cooperation in Reputation Based Packet Forwarding within Mobile Ad hoc Networks
Sara Berri, Vineeth Varma, Samson Lasaulce +2
In the paradigm of mobile Ad hoc networks (MANET), forwarding packets originating from other nodes requires cooperation among nodes. However, as each node may not want to waste its…
When to stop value iteration: stability and near-optimality versus computation
Mathieu Granzotto, Romain Postoyan, Dragan Nešić +2
Value iteration (VI) is a ubiquitous algorithm for optimal control, planning, and reinforcement learning schemes. Under the right assumptions, VI is a vital tool to generate inputs…
Optimistic planning for the near-optimal control of nonlinear switched discrete-time systems with stability guarantees
Mathieu Granzotto, Romain Postoyan, Lucian Buşoniu +2
Originating in the artificial intelligence literature, optimistic planning (OP) is an algorithm that generates near-optimal control inputs for generic nonlinear discrete-time syste…
Stability analysis of a general class of singularly perturbed linear hybrid systems
Jihene Ben Rejeb, Irinel-Constantin Morărescu, Antoine Girard +1
Motivated by a real problem in steel production, we introduce and analyze a general class of singularly perturbed linear hybrid systems with both switches and impulses, in which th…
Minimizing the impact of EV charging on the electricity distribution network
Olivier Beaude, Samson Lasaulce, Martin Hennebel +1
The main objective of this paper is to design electric vehicle (EV) charging policies which minimize the impact of charging on the electricity distribution network (DN). More preci…
Co-design of output feedback laws and event-triggering conditions for linear systems
Mahmoud Abdelrahim, Romain Postoyan, Jamal Daafouz +1
We present a procedure to simultaneously design the output feedback law and the event-triggering condition to stabilize linear systems. The closed-loop system is shown to satisfy a…
Stabilization of nonlinear systems using event-triggered output feedback controllers
Mahmoud Abdelrahim, Romain Postoyan, Jamal Daafouz +1
The objective is to design output feedback event-triggered controllers to stabilize a class of nonlinear systems. One of the main difficulties of the problem is to ensure the exist…
Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics
Mahmoud Abdelrahim, Romain Postoyan, Jamal Daafouz
Controllers are often designed based on a reduced or simplified model of the plant dynamics. In this context, we investigate whether it is possible to synthesize a stabilizing even…