<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> optimal control for generalized discrete-time systems

Tudor, Florin; Oară, Cristian

doi:10.1016/j.automatica.2014.03.004

Search citation statements

Order By: Relevance

Paper Sections

Select...

Problem Formulation1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2021

Publication Types

Select...

Article4

Other2

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 16 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The hypotheses (H 2 ) and (H 3 ) are regularity assumptions, see [32], [21] for the standard case. In particular, it follows from (H 2 ) that T 12 has no zeros on the unit circle, [33] and are by no means necessary conditions for the existence of a solution to the general H ∞ control problem. If either of these two assumptions does not hold, we get a singular H ∞ optimal control problem, which is beyond the scope of this paper.…”

Section: Problem Formulationmentioning

confidence: 99%

H-infinity control problem for general discrete-time systems

Tudor¹,

Oară²,

Sabău³

2014

Preprint

View full text Add to dashboard Cite

This paper considers the H∞ control problem for a general discrete-time system, possibly improper or polynomial. The parametrization of suboptimal H∞ output feedback controllers is presented in a realization-based setting, and it is given in terms of two descriptor Riccati equations. Moreover, the solution features the same elegant simplicity of the proper case. An interesting numerical example is also included.

show abstract

Section: Problem Formulationmentioning

confidence: 99%