A quadratic programming approach for solving the l₁ multiblock problem

作     者：Elia, N Dahleh, MA 

作者机构：MIT Dept Elect Engn & Comp Sci Cambridge MA 02139 USA 

出 版 物：《IEEE TRANSACTIONS ON AUTOMATIC CONTROL》 (IEEE Trans Autom Control)

年 卷 期：1998年第43卷第9期

页      面：1242-1252页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0811[工学-控制科学与工程] 

基　　金：National Science Foundation, NSF, (9157306-ECS) Air Force Office of Scientific Research, AFOSR, (F49620-95-0219) Charles Stark Draper Laboratory, Draper, (DL-H-441636) 

主　　题：computational methods l(1) control optimal control quadratic programming 

摘      要：The authors present a new method to compute solutions to the general multiblock l(1) control problem. The method is based on solving a standard H-2 problem and a finite-dimensional semidefinite quadratic programming problem of appropriate dimension. The new method has most of the properties that separately characterize many existing approaches. In particular, as the dimension of the quadratic programming problem increases, this method provides converging upper and lower bounds on the optimal it norm and, for well posed multiblock problems, ensures the convergence in norm of the suboptimal solutions to an optimal l(1) solution. The new method does not require the computation of the interpolation conditions, and it allows the direct computation of the suboptimal controller.