Robust Adaptive Control of a Class of Nonlinear Systems and Its Applications

Consensus control of nonlinear leader–follower multi-agent systems with actuating disturbances

“…[25,17,18,26]. The consensus of this class of nonlinear multi-agent systems can cover interesting synchronization problems of a number of benchmark nonlinear oscillators, including Lorenz systems, FitzHugh-Nagumo (FHN) systems (that will be discussed in Section 4), etc., see [26].…”

“…For an illustration, we consider a consensus design of a group of FHN type agents with local actuating disturbances, adopted from [26]. The interaction graph G is specified in Fig.…”

Constraint robust adaptive stabilization for a class of lower triangular systems with unknown control direction

“…But it has no impact on employing the proposed control design in Section 3 due to the availability of v and η. Also, since F (w) is Hurwitz for all w and M is also a Hurwitz matrix, by Lemma 3.1 of [24], Assumption 2.2 is satisfied with α( Z ) = Z 2 , some known smooth positive definite function γ 0 (x 1 ) and some positive constant δ 0 depending on w and v(0).…”

Output regulation for output feedback systems with an uncertain exosystem

“…where both u ζ and g ζ are sufficiently smooth vanishing at the origin such that for any initial condition and any parameter (w, σ) ∈ W × S, the solution of the closed-loop system composed of (2), (17) and (18) exists and is bounded over [0, +∞). Moreover, lim t→∞ ( Z(t) + |e(t)|) = 0.…”