摘要
本文针对一类离散时间线性时不变系统,研究其有限时间稳定预测控制问题。首先给出了有限时间稳定预测控制的定义,然后,通过构造Lyapunov函数,将有限时域的最小化优化问题转化为具有线性矩阵不等式约束的半正定规划问题。并采用线性矩阵不等式的方法,给出了输出反馈控制律存在的充分条件。证明了优化问题在满足可行性条件下闭环系统是有限时间稳定的。最后,仿真算例验证了所提方法的有效性。
This paper researches the finite-time stable predictive control problem for a class of discrete-time linear time invariant system. Firstly, the definition of finite-time stable predictive control is given. Then by constructing Lyapunov function, minimization-optimization problems of finite-time domain are converted into positive semi-definite programming problems with linear matrix inequality constraints. Using linear matrix inequality approach, a sufficient condition for the existence of output feedback control law is presented. It is proved that the optimization problems is finite-time stable when the feasible condition of closed-loop systems is guaranteed. Finally, a simulation example demonstrates the effectiveness of the proposed method.
出处
《动力系统与控制》
2017年第2期43-53,共11页
Dynamical Systems and Control
