Adaptive control for nonlinear nonnegative dynamical systems

Nonnegative and compartmental models are widespread in engineering systems and life sciences and play a key role in the understanding of these systems. In this paper, we develop a direct adaptive control framework for nonlinear uncertain nonnegative and compartmental dynamical systems. The proposed framework is Lyapunov-based and guarantees partial asymptotic set-point regulation; that is, asymptotic set-point regulation with respect to part of the closed-loop system states associated with the plant. In addition, the adaptive controller guarantees that the physical system states remain in the nonnegative orthant of the state space. ? 2004 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2004
• Where: AUTOMATICA
• Authors: Wassim M. Haddad, Tomohisa Hayakawa
• Keywords: Asymptotic Set-point Regulation, AUTOMATICA 2004, Nonnegative, Partial Asymptotic Set-point