Optimal Control Lab

Welcome to the Optimal Control Laboratory!

The page you are visiting concerns the activities of the research team.

Introduction

Optimal control problems are encountered in the life of all days: How to get to destination as quickly as possible, How to minimize its consumption ...

For a given dynamic system whose equations are known. The optimal control problem is to find the control minimizing a given criterion. It is in this form that the optimal control has been studied since the 19th century with the calculus of variations.

A major application of the optimal control was Apollo application launcher in the 1960.

However, the difficulties raised by such problems are far from being completely resolved as is approved in scientific research acts published in the automatic field and signal processing.

The optimal control is a topic of current research related to the need of a performance always sought by man. The optimal control lab is interested with:

  • The optimal control of the overall systems.

  • The optimal control of linear systems in the case of a quadratic criterion (LQ), or the state feedback. The linear quadratic Gaussian optimal control (LQG) for synthesizing a dynamic corrector for a system whose state is not even mesured. LQG control can be formalized as the synthesis of a corrective minimizing a matrix norm (norm H2) between particular signals. Finally, we will look at the possibility of obtaining, for a given checker, an equivalent form LQG.

  • The optimal control by regulators fractional, by optimizing for robustness objective.

Also, the optimal control lab is focused on the most used tools in the optimal control such as:

  • Optimality principle of Bellman

  • Principle of minimum Pontriagine

  • Principle of Equation Euler-Lagrange

  • Bang-bang control

  • LQ control, LQR and LQG

Optimal Control Laboratory Mission

The mission of optimal control lab is to optimal control applications.

The research team able to work under the terms available on the following topics related to optimal control:

  • Predictive optimal Control of electrical machines and drives

  • Optimal control applications in power systems

  • Optimal control of wind energy systems

  • Optimal control on solar energy systems

  • Optimal tracking obtained by VSAS approach for Permanent Magnet Direct Drive WECS

  • A Novel optimal achieve by Modified Enhanced Perturb and Observe (MEPO) for WECS

  • Optimization in the extraction and limitation of wind power for Permanent Magnet Direct Drive WECS

  • Optimal control of an energy conversion chain using innovative generators associated with static converters

  • Optimal control of mechanical power of a turbine in a wind channel

  • Optimal Control of multilevel inverters for PV systems for connecting the electrical networks.

  • Optimum Power Control issued by an offshore wind chain.

  • Optimal control and design of electric hybrid vehicles and automotive systems

  • Optimal control in power management

  • Stochastic optimal control

  • Modeling and optimal control of electromagnetic transducer