Constrained infinite-horizon linear quadratic regulation discrete-time systems

被引：6
|
作者：
Lee, Ji-Woong [1 ]
Khargonekar, Pramod P.
机构：
[1] Penn State Univ, Dept Elect Engn, University Pk, PA 16802 USA
[2] Univ Florida, Coll Engn, Gainesville, FL 32611 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 10期
关键词：
constrained linear quadratic regulator (LQR); constrained minimum-time control; eventually time-invariant systems; linear matrix inequality (LMI); semidefinite programming (SDP);
D O I：
10.1109/TAC.2007.906239
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 are concerned with the output norm-constrained infinite-horizon linear quadratic regulation problem, where the underlying state-control constraints are specified by curved, rather than polyhedral, surfaces. Each suboptimal problem admits an exact convex synthesis condition expressed by an increasing union of linear matrix inequalities and results in an eventually time-invariant controller satisfying the desired performance level subject to given constraints and closed-loop stability. The output norm-constrained minimum-time control problem is also dealt with as a corollary.
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页码：1951 / 1958
页数：8
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