具有约束的Hammerstein非线性控制系统的设计与分析

Design and analysis of Hammerstein nonlinear control systems with constraints

为得到快速有效的算法 ,提出一种具有输入约束的新的两步法控制器。加入模型中间变量的约束来代替输入约束 ,并给出中间变量约束的在线确定方法。引入中间变量约束可使非线性方程总有实解 ,有利于闭环系统的稳定和提高系统的最优性能。仿真结果验证了理论分析的正确性。

A new two-step control scheme with input constraints is presented to obtain a fast and efficient algorithm. The input constraints are substituted by intermediate variables constraints of the model, and an on-line algorithm for determining the intermediate constraints is given. Adding intermediate constraints guarantees the existence of the real solution to the static nonlinear algebraic equation, and makes it easy to stabilize the closed-loop system and enhance the optimality property of the control system. Simulation results show the validity of the theoretical analysis.