The global output regulation problem: An incremental stability approach

Abstract

We present a global solution to the output regulation problem for a class of nonlinear systems. The solution is based on the incremental stability property. The question of existence of the proposed solution can be answered by checking solvability of the regulator equations and feasibility of certain linear matrix inequalities.

Adaptive observers as nonlinear internal models

“…Because of assumption (ii), (̺, w(t), z(t)) ∈ Z for all t ≥ 0, where Z is a compact set. Form this, standard arguments can be used to show that trajectories of (19) are defined for all t ≥ 0 and, consequently, also X(t) is bounded (recall that |Ω(·)| has compact support).…”

Further Results on Output Regulation by Pure Error Feedback

“…Besides others, it is worth mentioning the work (Serrani et al, 2001), in which adaptive internal models have been introduced to cope with uncertainties in the exosystem structure, the works (Chen and Huang, 2004) and (Delli Priscoli, 2004), in which procedures to design nonlinear internal models are presented, and the work (Pavlov et al, 2004), in which incremental stability concepts are employed to infer regulation properties.…”

Convergent piecewise affine systems: analysis and design Part I: continuous case

“…Once the convergence property is achieved by a proper choice of feedback, the feedforward control signals can be used in order to shape the steady-state dynamics of the closed-loop system (see e.g. [4], [23]). We will focus on the problem of finding a feedback that makes the closed-loop system input-to-state convergent and will not address the problem of shaping the steady-state dynamics by means of a feedforward controller.…”