The general distance problem in<i>H∞</i>optimal control theory

Chu, Cheng-Chih; Doyle, John C.; Lee, E. Bruce

doi:10.1080/00207178608933619

Cited by 60 publications

(15 citation statements)

References 22 publications

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“…I : It should be noted that the problem as stated so far could be applied to any left coprime factorization of G . The H , optimization problem in (3.5) was formulated in Vidyasagar and Kimura [35] for any left coprime factorization, and could be solved using the standard iterative procedures outlined, for example, in Francis [8], Chu et al [4], or Foo and Postlethwaite [7]. Sections IV and V show that an advantage of selecting the normalized coprime factorization is that the problem can be solved exactly in a remarkably simple way and that the computationally expensive iterative procedure can be avoided.…”

Section: Equation (35) Is In the Form Of An H Optimization Problemmentioning

confidence: 99%

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

Glover

McFarlane

1989

IEEE Trans. Automat. Contr.

638

310

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The problem of robustly stabilizing a family of linear systems is explicitly solved in the case where the family is characterized by H , bounded perturbations to the numerator Nand denominator A o f the normalized left coprime factorization of a nominal system. This problem can be reduced to a Nehari extension problem directly and gives an optimal stability margin J1-ll[N, mil f . All controllers satisfying a suboptimal stability margin are characterized and explicit state-space formulas are given.

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Section: Equation (35) Is In the Form Of An H Optimization Problemmentioning

confidence: 99%

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

Glover

McFarlane

1989

IEEE Trans. Automat. Contr.

638

310

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“…To solve the 2-and 4-block problems, a technique known as y-iteration has been introduced (Doyle 1984, Chu et al 1986. With this technique, the solution is reached to a specified accuracy by a sequence of model-matching problems.…”

Section: -Blockmentioning

confidence: 99%

State-space formulae for discrete-timeH⁸optimization

Tsai

O’Young

et al. 1989

International Journal of Control

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“…The controller design method that will be used here is a design method presented by Bongers and Bosgra [2] and also used in [17]- [20]. This design method is a variation of four-block H 1 design [3]. Here the feedback system depicted in Fig.…”

Section: Problem Statementmentioning

confidence: 99%

On control relevant criteria in H/sub ∞/ identification

Böling

Mäkilä

1998

IEEE Trans. Automat. Contr.

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This paper proposes a technique for using control relevant criteria in H 1 identification. The work reported here has its background in a desire to understand the closed-loop versus open-loop issue in control relevant identification as highlighted in the IEEE TRANSACTIONS ON AUTOMATIC CONTROL special issue technical note [17]. The proposed technique has some features in common with the iterative closed-loop Schrama scheme but is constructed so as to be able to obtain control relevant reduced complexity models also directly from open-loop data (for stable systems). It is demonstrated that the proposed technique solves, with the initial open-loop data only, the examples [17]-[20] earlier treated in the literature using the iterative closed-loop Schrama scheme. Index Terms-H 1 identification, identification for control, open-loop identification, robust control. The author is with the

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The general distance problem inH∞optimal control theory

Cited by 60 publications

References 22 publications

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

State-space formulae for discrete-timeH⁸optimization

On control relevant criteria in H/sub ∞/ identification

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The general distance problem inH∞optimal control theory

Cited by 60 publications

References 22 publications

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty

State-space formulae for discrete-timeH8optimization

On control relevant criteria in H/sub ∞/ identification

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State-space formulae for discrete-timeH⁸optimization