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一类稳定的连续时间广义预测控制
A STABLE CONTINUOUS-TIME GENERALIZED PREDICTIVE CONTROL
【摘要】 引入无穷时域的1-范数性能指标,通过施加新的终端等式约束确定出无穷时域性能指标的一个上界,将不可解的优化问题转化为可解的优化问题,从而提出保证连续时间广义预测控制闭环稳定性的准无穷时域方法.仿真例子证明了算法的有效性.
【Abstract】 The closed-loop stability of the continuous-time generalized predictive control is considered,by using the infinite horizon control.The 1-norm cost function with infinite horizon is imported.By inflicting the new end-point equality constraints,an upper bound of the cost function with infinite horizon is given,and the unsolvable optimal problem can be transformed into a solvable optimal problem.Then the quasi-infinite horizon approach which can guarantee the closed loop stability of generalized predictive control is presented.Simulation result shows the validity of the proposed control.
【关键词】 连续时间系统;
广义预测控制;
准无穷时域;
1-范数性能指标;
稳定性;
【Key words】 Continuous-time system; generalized predictive control; quasi-infinite horizon; 1-norm cost function; stability;
【Key words】 Continuous-time system; generalized predictive control; quasi-infinite horizon; 1-norm cost function; stability;
【基金】 国家自然科学基金(60774016)资助课题.
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2009年02期
- 【分类号】O224
- 【下载频次】154