Adaptive Fuzzy Control of a Class of Decentralized Nonlinear Systems and Unknown Dynamics

Decentralized direct adaptive output feedback fuzzy H ∞ tracking design of large-scale nonaffine nonlinear systems

“…Remark 2 Assumption 2 is a realistic condition, because many practical large-scale nonlinear systems such as [34,36,45,46], as will be shown in the simulation example, may be met. Furthermore, provided that…”

“…In [24,25], under the assumption |δ f | ≤ ε or |w T | ≤ ε [24], (32) or [25], (25) the control law v is given by v = ρ, ifẽ 1 ≥ 0, −ρ ifẽ 1 < 0, [24], (36); [25], (26) where ρ ≥ ε/β 1 , β 1 ≤ g(x) ≤ β 2 . Furthermore, it is claimed that the following inequalities hold in their stability proofs:…”

“…A large quantity of results for the analysis and control of large-scale systems have been made in the last 20 years or so. Many authors propose decentralized adaptive control methods for various classes of large-scale complex linear [27][28][29][30][31][32][33] or nonlinear systems [34][35][36][37][38][39][40], but all the presented algorithms take full state feedback. However, as pointed out, the state variables of many systems are unavailable in reality so that decentralized adaptive control via output feedback should be utilized under the circumstances.…”