Complexity Reduction for Parameter-Dependent Linear Systems

被引：0

作者：

Farokhi, Farhad ^{[1
]}

Sandberg, Henrik ^{[1
]}

Johansson, Karl H. ^{[1
]}

机构：

[1] KTH Royal Inst Technol, Sch Elect Engn, ACCESS Linnaeus Ctr, SE-10044 Stockholm, Sweden

来源：

2013 AMERICAN CONTROL CONFERENCE (ACC) | 2013年

关键词：

SEMIDEFINITE PROGRAMMING RELAXATIONS; UNCERTAIN SYSTEMS; OPTIMIZATION; CONTROLLERS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a complexity reduction algorithm for a family of parameter-dependent linear systems when the system parameters belong to a compact semi-algebraic set. This algorithm potentially describes the underlying dynamical system with fewer parameters or state variables. To do so, it minimizes the distance (i.e., H-infinity-norm of the difference) between the original system and its reduced version. We present a sub-optimal solution to this problem using sum-of-squares optimization methods. We present the results for both continuous-time and discrete-time systems. Lastly, we illustrate the applicability of our proposed algorithm on numerical examples.

引用

页码：2618 / 2624

页数：7

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