Title
Gradient Projection-Based Performance Improvement For Jlq Problems
Abstract
This article is concerned with a class of continuous-time Markovian jump linear systems where the regime transition rates are determined through an initial policy. The purpose is to study the jump linear quadratic regulator for such class of systems. A two-level regulating method is adopted to design the state-feedback controller and the policy separately. The problem of tuning the existing policy with respect to a prescribed quadratic performance criterion is formulated as a gradient projection-based iterative optimisation. This method leads to a near-optimal policy whose performance is better than that of the initial one. Useful characteristics of such a policy are also developed. The efficiency of the main results is elucidated by two numerical examples.
Year
DOI
Venue
2012
10.1080/00207179.2011.624550
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Markovian jump linear system, gradient projection, near-optimal
Markovian jump linear systems,Control theory,Mathematical optimization,Control theory,Quadratic equation,Gradient projection,Jump,Linear-quadratic regulator,Mathematics,Performance improvement
Journal
Volume
Issue
ISSN
85
1
0020-7179
Citations 
PageRank 
References 
1
0.38
4
Authors
4
Name
Order
Citations
PageRank
Yifan Dong1161.45
yongfeng kang246358.91
Xinghua Liu3116.76
Hongsheng Xi435738.39