Title
On Linear Over-Actuated Regulation Using Input Allocation
Abstract
We present in this paper preliminary results and research directions concerning the output regulation problem for over-actuated linear systems. The focus of the paper is on the characterization of the solution of the full-information regulator problem for systems which are right-invertible but not left-invertible, where the input operator is injective. The intrinsic redundancy in the plant model is exploited by parameterizing all solutions of the ensuing regulator equations and performing a static or dynamic optimization on the space of solutions. This approach effectively shapes the non-unique steady-state of the system so that the long-term behavior optimizes a given performance index. In particular, nonlinear cost functions that account for constraints on the inputs are considered. Examples are given to illustrate and validate the proposed methodology.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160946
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
cost function,linear system,performance index,trajectory,resource management,linear systems,steady state,resource manager,mathematical model
Regulator,Mathematical optimization,Nonlinear system,Linear system,Injective function,Control theory,Computer science,Redundancy (engineering),Operator (computer programming),Steady state,Trajectory
Conference
ISSN
Citations 
PageRank 
0743-1546
12
0.84
References 
Authors
1
4
Name
Order
Citations
PageRank
Sergio Galeani139842.86
Andrea Serrani248259.14
Gianluca Varano3292.16
Luca Zaccarian480889.60