TY - JOUR
T1 - Sliding modes in the management of renewable resources
AU - Bondarev, Anton
AU - Upmann, Thorsten
N1 - Funding Information:
The work of A. Bondarev was supported by the Key Program Special Fund of Xi’an Jiaotong-Liverpool University, China (grant no. KSF-E-63 ). The material in this paper was partially presented at None. This paper was recommended for publication in revised form by Associate Editor Kok Lay Teo under the direction of Editor Ian R. Petersen.
Funding Information:
The work of A. Bondarev was supported by the Key Program Special Fund of Xi'an Jiaotong-Liverpool University, China (grant no. KSF-E-63). The material in this paper was partially presented at None. This paper was recommended for publication in revised form by Associate Editor Kok Lay Teo under the direction of Editor Ian R. Petersen.The work of A. Bondarev was supported by the Key Program Special Fund of Xi'an Jiaotong-Liverpool University (grant no. KSF-E-63).
Publisher Copyright:
© 2022 The Authors
PY - 2022/10
Y1 - 2022/10
N2 - The presence of tipping points in ecological systems implies abrupt changes in the dynamics of the ecosystem. In these piecewise-smooth dynamical systems sliding dynamics, i.e., dynamics on the switching boundary, have been reported for population models. However, the question whether or not, and if so under which conditions, sliding dynamics may occur in an optimally controlled system have not yet been studied. We explore this issue in a simple harvesting model with two regimes, and find that optimal sliding may occur if regular steady states do not exist. Hence, sliding dynamics may be part of an optimal policy.
AB - The presence of tipping points in ecological systems implies abrupt changes in the dynamics of the ecosystem. In these piecewise-smooth dynamical systems sliding dynamics, i.e., dynamics on the switching boundary, have been reported for population models. However, the question whether or not, and if so under which conditions, sliding dynamics may occur in an optimally controlled system have not yet been studied. We explore this issue in a simple harvesting model with two regimes, and find that optimal sliding may occur if regular steady states do not exist. Hence, sliding dynamics may be part of an optimal policy.
KW - Control of switched systems
KW - Natural resources management
KW - Optimal control of hybrid systems
KW - Optimal control theory
KW - Sliding mode control
UR - http://www.scopus.com/inward/record.url?scp=85134877090&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2022.110487
DO - 10.1016/j.automatica.2022.110487
M3 - Article
AN - SCOPUS:85134877090
SN - 0005-1098
VL - 144
JO - Automatica
JF - Automatica
M1 - 110487
ER -
