A comprehensive introduction to hybrid control systems and design Hybrid control systems
exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a …

We propose a central synergistic hybrid approach for global exponential stabilization on the
Special Orthogonal group SO (3). We introduce a new switching concept relying on a central …

We propose a systematic and comprehensive procedure for the construction of synergistic
potential functions, which are instrumental in hybrid control design on SO (3). A new map …

This paper proposes a novel inner–outer loop control methodology to tackle the trajectory
tracking problem for input-saturated quadrotors. The outer-loop, encapsulating the position …

We introduce a new hybrid control strategy, which is conceptually different from the
commonly used synergistic hybrid approaches, to efficiently deal with the problem of the …

This paper presents an approach for the design of globally exponentially stable hybrid
attitude and gyro-bias observers on SO (3)× R 3. First, we propose a hybrid observer …

Achieving global asymptotic stabilization of rigid-body attitude is impossible using smooth
feedback; however, this obstruction can be overcome using a hybrid controller that …

This paper deals with the design of globally exponentially stable invariant observers on the
Special Euclidian group SE (3). First, we propose a generic hybrid estimation scheme …

We show that when a compact set is globally asymptotically stable under the action of a
differential inclusion satisfying certain regularity properties, there exists a smooth differential …

In this paper, we propose a hybrid feedback based on a “synergistic” potential function that
achieves global asymptotic stabilization of a desired orientation on the n-sphere with a …