This paper focuses on the adaptation mechanisms in adaptive hybrid controllers. Most adaptive hybrid controllers update two filters individually according to the filteredreference least mean squares (FxLMS) algorithm. Because this algorithm was derived for feedforward control, it does not take into account the presence of a feedback loop in the gradient calculation. This paper provides a deriva...

This paper shows ongoing research results on the development of automatic control modes for robotized laparoscopic surgery. We show how both force feedback and visual feedback can be used in an hybrid control scheme to autonomously perform basic surgical subtasks. Preliminary experimental results on an example clamping tasks are given.

This paper discusses the design of optimal feedback control laws for hybrid systems with autonomous (continuous) modes. The solution of similar problems, when the dynamic modes are non linear, is, in general, dependent on the initial conditions. The same problem affects the ”open loop” control based on the definition of the optimal switching times. In this work an algorithm is proposed, allowin...

Abstract This chapter briefly highlights how one might address the aforementioned topological obstructions. We discuss almost global stabilization , periodic time-varying feedback and broadest most successful framework for discontinuous feedback: hybrid control theory .

Abstract—This paper deals with the global asymptotic stabilization problem for a class of bilinear systems. A state feedback controller solving this problem is obtained uniting a local controller, having an interesting behavior in a neighborhood of the origin, and a constant controller valid outside this neighborhood. The approach developed is based on the use of a hybrid loop, and more precise...

This paper addresses the design of a hybrid feedback control system enabling a car-like, rectangular vehicle to perform a tight L-shaped turn maneuver. This case constitutes an effort towards the definition of a general purpose methodology for hybrid feedback control synthesis. The design effort encompasses the synthesis of a set of modalities and mechanisms to detect relevant events enabling t...

In this paper, a general control-to-facet problem for affine systems on polytopes is studied: find an affine feedback law such that all trajectories of the closed-loop system leave the state polytope through an a priori specified (possibly empty) set of facets. Solutions are presented in terms of (bi)linear inequalities in the coefficients of the affine feedback. The result is applied to contro...

We present a hybrid systems solution to the problem of trajectory tracking for a four-wheel steered four-wheel driven mobile robot. The robot is modelled as a non-holonomic dynamic system subject to pure rolling, no-slip constraints. Under normal driving conditions, a nonlinear trajectory tracking feedback control law based on dynamic feedback linearization is sufficient to stabilize the system...

We consider the problem of autonomously controlling a fixed-wing aerial vehicle to visit a neighborhood of a pre-defined waypoint, and when nearby it, loiter around it. To solve this problem, we propose a hybrid feedback control strategy that unites two state-feedback controllers: a global controller capable of steering or transitioning the vehicle to nearby the waypoint and a local controller ...

We consider the problem of autonomously controlling a fixed-wing aerial vehicle to visit a neighborhood of a pre-defined waypoint, and when nearby it, loiter around it. To solve this problem, we propose a hybrid feedback control strategy that unites two state-feedback controllers: a global controller capable of steering or transitioning the vehicle to nearby the waypoint and a local controller ...