Adaptive Robust Control Schemes of Optimal Long-Term Management for a Class of Uncertain Ecological System

摘要

The problem of the optimal long-term management is considered for a class of uncertain ecological dynamical systems. In this paper, the upper bound of the uncertainties of the exploited ecosystems is assumed to be unknown. An improved adaptation law with σ- modification is employed to estimate such an unknown bound, and a class of continuous adaptive robust state feedback control schemes is proposed. It is also shown that the proposed adaptive robust state feedback control schemes canguarantee the uniform asymptotic stability of the optimal steady state of exploited ecosystems in the presence of uncertainties. Finally, as a numerical example, an uncertain exploited ecosystem with twocompeting species is given to demonstrate the validity of the results.