非線形システムに対するシグモイド型自動抽出制御法とGAによる準最適設計

抄録

In this paper an automatic choosing control of sigmoid type is considered for nonlinear systems. Nonlinear terms of the system are linearlized piecewise so as to be able to design the linear optimal controllers. These controllers are smoothly united into a single nonlinear feedback controller by automatic choosing functions of sigmoid type. Parameters of these functions are suboptimally selected by minimizing the Hamiltonian with the aid of a genetic algorithm. The resulting controller is a compact form which enables easy implementation and evaluates a stable region in the sense of Lyapunov by a Lyapunov function candidate. Simulation results show that the new controller can improve performance remarkably well.