On the geometric approach of linear control systems

This paper expose the localization inside the state space of a linear time-invariant control system of the (A, B)-invariant subspace s associated to "natural" outputs associated with the controller canonical form . It results the impossibility to reject from these output s the disturbances which influence the controllable part of the system .Cet article propose de préciser la localisation dans l'espace d'état d'un système linéaire des sous-espaces (A, B)-invariants associés aux noyaux des sorties « naturelles de la forme canonique contrôleur. Il en résulte qu'il n'est pas possible de rejeter de ces sorties les perturbations qui influencent la partie commandable du système

Modeling and Control of Induction Motors

This paper is devoted to the modeling and control of the induction motor. The well-established field oriented control is recalled and two recent control strategies are exposed, namely the passivity-based control and the flatness-based control

Load estimator-based hybrid controller design for two-interleaved boost converter dedicated to renewable energy and automotive applications

This paper is devoted to the development of a hybrid controller for a two-interleaved boost converter dedicated to renewable energy and automotive applications. The control requirements, resumed in fast transient and low input current ripple, are formulated as a problem of fast stabilization of a predefined optimal limit cycle, and solved using hybrid automaton formalism. In addition, a real time estimation of the load is developed using an algebraic approach for online adjustment of the hybrid controller. Mathematical proofs are provided with simulations to illustrate the effectiveness and the robustness of the proposed controller despite different disturbances. Furthermore, a fuel cell system supplying a resistive load through a two-interleaved boost converter is also highlighted

Hybrid control of a two-interleaved DC-DC converter for DC bus regulation

This paper deals with a hybrid control scheme for two-phase interleaved boost converter devoted to renewable energy and automotive applications. The control requirements, resumed in low input current ripples, are formulated as an optimal limit cycle stabilization problem, and are solved using hybrid systems formalism. The closed-loop consists in associating each discrete mode to a clearly defined region of the state space, in such a way that the optimal limit cycle is stabilized asymptotically. Mathematical proofs are provided alongside simulations to illustrate the effectiveness and the robustness of the proposed controller, especially with the use of a fuel cell as an input source

On classical state space realisability of quadratic input-output differential equations.

This article studies the realisability property of continuous-time quadratic input-output (i/o) equations in the classical state space form. Constraints on the parameters of the quadratic i/o model are suggested that lead to realisable models. The complete list of second- and third-order realisable i/o quadratic models is given and two subclasses of the n-th order realisable i/o quadratic systems are suggested. Our conditions rely basically upon the property that certain combinations of coefficients of the i/o equations are zero or not zero. We provide explicit state equations for realisable second-order quadratic i/o equations, and for one realisable subclass of quadratic i/o equations of arbitrary order