An algebraic theory for design of controllers for linear multivariable systems : Part I: Structure matrices and feedforward design
(1981) In IEEE Transactions on Automatic Control 26(1). p.171182 Abstract
 In this two part paper a theory is presented in which several control problems can be solved. The theory is applicable to a general class of linear multivariable systems where the measured output does not have to be equal to the controlled output or the state. The system may be affected by nonmeasurable disturbances. Only controllers which stabilize the system and have proper transfer functions are allowed, i.e., the controllers have to be physically realizable. It is shown that the solutions to control problems of "servo type," e.g., problems of model matching, decoupling, and invertibility, are special cases of the solution to a more general problem. Analogously, the solutions to problems of "regulator type," e.g., disturbance... (More)
 In this two part paper a theory is presented in which several control problems can be solved. The theory is applicable to a general class of linear multivariable systems where the measured output does not have to be equal to the controlled output or the state. The system may be affected by nonmeasurable disturbances. Only controllers which stabilize the system and have proper transfer functions are allowed, i.e., the controllers have to be physically realizable. It is shown that the solutions to control problems of "servo type," e.g., problems of model matching, decoupling, and invertibility, are special cases of the solution to a more general problem. Analogously, the solutions to problems of "regulator type," e.g., disturbance decoupling, output regulation, and pole placement, are also speclal cases of the solution to a more general problem. It is shown that problems of "servo type" and "regulator type" can be solved independently of each other. In Part I generalized polynomials are introduced as a mathematical framework. Structue matrices, which describe how well a system can be controlled, are defined. Finally, problems of "servo type" are solved. Part II mainly deals with problems of "regulator type." (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/31bc37adfeab427499599339c716f2ca
 author
 Pernebo, Lars
 organization
 publishing date
 1981
 type
 Contribution to journal
 publication status
 published
 subject
 in
 IEEE Transactions on Automatic Control
 volume
 26
 issue
 1
 pages
 171  182
 publisher
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 external identifiers

 scopus:0019532423
 ISSN
 00189286
 DOI
 10.1109/TAC.1981.1102554
 language
 English
 LU publication?
 no
 id
 31bc37adfeab427499599339c716f2ca
 date added to LUP
 20181216 16:36:19
 date last changed
 20190106 14:19:56
@article{31bc37adfeab427499599339c716f2ca, abstract = {In this two part paper a theory is presented in which several control problems can be solved. The theory is applicable to a general class of linear multivariable systems where the measured output does not have to be equal to the controlled output or the state. The system may be affected by nonmeasurable disturbances. Only controllers which stabilize the system and have proper transfer functions are allowed, i.e., the controllers have to be physically realizable. It is shown that the solutions to control problems of "servo type," e.g., problems of model matching, decoupling, and invertibility, are special cases of the solution to a more general problem. Analogously, the solutions to problems of "regulator type," e.g., disturbance decoupling, output regulation, and pole placement, are also speclal cases of the solution to a more general problem. It is shown that problems of "servo type" and "regulator type" can be solved independently of each other. In Part I generalized polynomials are introduced as a mathematical framework. Structue matrices, which describe how well a system can be controlled, are defined. Finally, problems of "servo type" are solved. Part II mainly deals with problems of "regulator type."}, author = {Pernebo, Lars}, issn = {00189286}, language = {eng}, number = {1}, pages = {171182}, publisher = {IEEEInstitute of Electrical and Electronics Engineers Inc.}, series = {IEEE Transactions on Automatic Control}, title = {An algebraic theory for design of controllers for linear multivariable systems : Part I: Structure matrices and feedforward design}, url = {http://dx.doi.org/10.1109/TAC.1981.1102554}, volume = {26}, year = {1981}, }