| 摘要: |
|
| 关键词: |
| DOI： |
| Received:February 22, 2005Revised:January 25, 2006 |
| 基金项目: |
|
| A new approach on designing l_1 optimal regulator with minimum order for SISO linear systems |
| Xiang LIU |
| (National Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou Zhejiang 310027, China) |
| Abstract: |
| For a SISO linear discrete-time system with a specified input signal, a novel method to realize optimal l1 regulation control is presented. Utilizing the technique of converting a polynomial equation to its corresponding matrix equation, a linear programming problem to get an optimal l1 norm of the system output error map is developed which includes the first term and the last term of the map sequence in the objective function and the right vector of its constraint matrix equation, respectively. The adjustability for the width of the constraint matrix makes the trade-off between the order of the optimal regulator and the value of the minimum objective norm become possible, especially for achieving the optimal regulator with minimum order. By norm scaling rules for the constraint matrix equation, the optimal solution can be scaled directly or be obtained by solving a linear programming problem with l\ norm objective. |
| Key words: Linear discrete-time systems l1 norm Optimal control Matrix equation Linear programming |
