TY - GEN

T1 - Neural network-based control design

T2 - 1998 American Control Conference, ACC 1998

AU - Limanond, Suttipan

AU - Si, Jennie

PY - 1998/12/1

Y1 - 1998/12/1

N2 - In this paper we address a neural network-based control design for a discrete-time nonlinear system. Our design approach is to approximate the nonlinear system with a multilayer perception of which the activation functions are of the sigmoid type symmetric to the origin. A linear difference inclusion representation is then established for this class of approximating neural networks and is used to design a state-feedback control law for the nonlinear system based on the Certainty Equivalence Principle. The control design equations are shown to be a set of linear matrix inequalities where a convex optimization algorithm can be applied to determine the control signal. Further, the stability of the closed-loop is guaranteed in the sense that there exists a unique global attraction region in the neighborhood of the origin to which every trajectory of the closed-loop system converges. Finally, a simple example is presented so as to illustrate our control design procedure.

AB - In this paper we address a neural network-based control design for a discrete-time nonlinear system. Our design approach is to approximate the nonlinear system with a multilayer perception of which the activation functions are of the sigmoid type symmetric to the origin. A linear difference inclusion representation is then established for this class of approximating neural networks and is used to design a state-feedback control law for the nonlinear system based on the Certainty Equivalence Principle. The control design equations are shown to be a set of linear matrix inequalities where a convex optimization algorithm can be applied to determine the control signal. Further, the stability of the closed-loop is guaranteed in the sense that there exists a unique global attraction region in the neighborhood of the origin to which every trajectory of the closed-loop system converges. Finally, a simple example is presented so as to illustrate our control design procedure.

UR - http://www.scopus.com/inward/record.url?scp=33746342535&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746342535&partnerID=8YFLogxK

U2 - 10.1109/ACC.1998.703553

DO - 10.1109/ACC.1998.703553

M3 - Conference contribution

AN - SCOPUS:33746342535

SN - 0780345304

SN - 9780780345300

T3 - Proceedings of the American Control Conference

SP - 970

EP - 974

BT - Proceedings of the 1998 American Control Conference, ACC 1998

Y2 - 24 June 1998 through 26 June 1998

ER -