This note studies fully actuated linear systems in the frequency domain in terms of polyno-mial matrix description(PMD).For a controllable first-order linear state-space system model,by using the right coprime factorization of its transfer function matrix,under the condition that the denomina-tor matrix in the right coprime factorization is column reduced,it is equivalently transformed into a fully actuated PMD model,whose time-domain expression is just a high-order fully actuated(HOFA)system model.This method is a supplement to the previous one in the time-domain,and reveals a connection between the controllability of the first-order linear state-space system model and the full-actuation of its PMD model.Both continuous-time and discrete-time linear systems are considered.Some numerical examples are worked out to illustrate the effectiveness of the proposed approaches.

DUAN Guang-Ren;ZHOU Bin

The Center for Control Science and Technology,Southern University of Science and Technology,Shenzhen 518055,ChinaThe Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China;The Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China

系统科学与复杂性学报（英文版）

[1]DUAN Guang-Ren;ZHOU Bin-.Fully Actuated System Approach for Linear Systems Control:A Frequency-Domain Solution)[J].系统科学与复杂性学报（英文版）,2022(06):2046-2061

polyno,mial,coprime,denomina,HOFA

Fully,Actuated,Approach,Linear,Systems,Control,Frequency,Domain,Solution,This,note,studies,fully,actuated,linear,systems,frequency,domain,terms,matrix,description,PMD,For,controllable,first,order,state,space,model,by,using,right,factorization,its,transfer,function,under,condition,that,column,reduced,equivalently,transformed,into,whose,expression,just,high,method,supplement,previous,one,reveals,connection,between,controllability,actuation,Both,continuous,discrete,are,considered,Some,numerical,examples,worked,out,illustrate,effectiveness,proposed,approaches

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