COMPUTATIONAL ISSUES IN PARAMETER-ESTIMATION AND FEEDBACK-CONTROL PROBLEMS FOR PARTIAL-DIFFERENTIAL EQUATION SYSTEMS

被引：18

作者：

BANKS, HT

机构：

[1] Center for Research in Scientific Computation, North Carolina State University, Raleigh

来源：

PHYSICA D | 1992年 / 60卷 / 1-4期

基金：

美国国家科学基金会; 美国国家航空航天局;

关键词：

D O I：

10.1016/0167-2789(92)90239-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider computational aspects of two problems governed by partial differential equations systems: (i) the computation of approximate Riccati feedback gains for LQR control problems, (ii) the estimation of parameters using methods based on approximate gradients computed via a costate algorithm. Sufficient conditions for convergence of algorithms for these problems are discussed; in both cases, some type of adjoint or costate system convergence is required in addition to the expected system convergence. Examples are discussed that illustrate computational difficulties which may arise if only convergence of the approximate system holds (i.e., in the event costate convergence does not hold).

引用

页码：226 / 238

页数：13

共 26 条

[1]

BANKS H., 1989, ESTIMATION TECHNIQUE

[2]

BANKS HT, 1986, MAT APL COMPUT, V5, P139

[3]

BANKS HT, 1988, CONTR-THEOR ADV TECH, V4, P73

[4] WEAK-TAU APPROXIMATIONS FOR DISTRIBUTED PARAMETER-SYSTEMS IN INVERSE PROBLEMS [J].