In this paper, we consider the stabilization controller for some desired trajectory of nonlinear systems. For such a problem, it should be one of the best strategies to apply the linear time-varying controller for linear approximate model around the trajectory. However, because a controller design procedure for linear time-varying system is not necessarily simple, some other methods like variou...

In this paper we propose a new robust scheme of nonpeaking nonlinear observers. The observation strategy is issued from differential algebra where the unmeasured states are given as outputs of a time-varying linear differentiator that guarantees robustness against measurement errors. We show that for a certain initial condition, the n-dimensional differentiator does not exhibit the peaking phen...

We give some explicit stability bounds for discrete-time systems subjected to time-varying and nonlinear perturbations. The obtained results are extensions of some well-known results in (Hinrichsen and Son in Int. J. Robust Nonlinear Control 8:1169-1188, 1998; Shafai et al. in IEEE Trans. Autom. Control 42:265-270, 1997) to nonlinear time-varying perturbations. Two examples are given to illustr...

Maxime Lucas, 2, ∗ Duccio Fanelli, † Timoteo Carletti, ‡ and Julien Petit 4, § Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom Dipartimento di Fisica e Astronomia, Università di Firenze, INFN and CSDC, Via Sansone 1, 50019 Sesto Fiorentino, Firenze, Italy naXys, Namur Institute for Complex Systems, University of Namur, B5000 Namur, Belgium Department of Mathematic...