随机激励下非线性水轮机系统的控制设计

CONTROL DESIGN FOR A NONLINEAR HYDRAULIC TURBINE SYSTEM UNDER STOCHASTIC EXCITATION

针对一类随机非线性哈密顿系统提出了一种全新的反馈跟踪控制方法.该控制策略可以准确地控制系统输出的概率密度分布特性.闭环系统的稳定性也通过李雅普诺夫函数法得到严格的数学证明.最后,以随机非线性水轮机系统为例,详细演示了控制设计过程及其有效性.仿真结果表明,新的反馈控制策略可以使水轮机系统的输出满足预先指定的平稳概率密度函数.

A new feedback tracing control method is presented for a class of nonlinear Hamiltonian systems with stochastic disturbances. It aims to accurately control the shape of the output probability density function. Meanwhile, a Lyapunov function method is employed to prove the optimality of the control law and the stability of closed - loop system. Eventually, to evaluate the performance of the proposed approach, a nonlinear stochastic hydraulic turbine system is utilized to be remodeled and to demonstrate the control design procedure and its effectiveness. The system simulation shows that the proposed feedback tracing control strategy for hydro -turbine system can achieve a pre -specified stationary probability density function （SPDF）.