Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory

This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbanc...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1986-08, Vol.31 (8), p.744-750
Main Authors: Desoer, C., Gundes, A.N.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Constraint theory
Control system synthesis
Control theory. Systems
Costs
Design methodology
Exact sciences and technology
Feedback loop
Linearity
MIMO
Output feedback
Stability
State feedback
Sufficient conditions
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Summary:This paper presents an algebraic theory for the design of a decoupling compensator for linear time-invariant multiinput multioutput systems. The design method uses a two-input one-output compensator, which gives a convenient parametrization of all diagonal input-output (I/ O) maps and all disturbance-to-output (D/O) maps achievable by a stabilizing compensator for a given plant. It is shown that this method has two degrees of freedom: any achievable diagonal I/O map and any achievable D/O map can be realized simultaneously by a choice of an appropriate compensator. The difference between all achievable diagonal and nondiagonal I/O maps and the "cost" of decoupling is discussed for some particular algebraic settings.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1986.1104391