Controller parametrization and pole-placement design for simultaneous stabilization

Kale, Mangesh; Chow, Joe H.; Minto, K.D.

doi:10.1109/cdc.1990.203449

Cited by 8 publications

(3 citation statements)

References 6 publications

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“…The above proof of Lemma 1 closely followed the corresponding proof of the stable right inverse in [8] and [9].…”

Section: R ( S ) = F ( S ) U ( S ) + H(s)y(s)mentioning

confidence: 66%

“…The stable inverse approach [7] has been applied to obtain the controller parameterization for simultaneous stabilization [8]- [ll]. In the present paper, motivated by the approach for the simultaneous stabilization which is developed recently in [9]-[I 11, we treat its dual problem using the same technique. It wili be seen that the parameterization of a simultaneous observer presents a dual result to the parameterization of simultaneous stabilizing controllers.…”

Section: Introductionmentioning

confidence: 99%

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Observer parameterization for simultaneous observation

Kovacevic

Yao

Zhang

1996

IEEE Trans. Automat. Contr.

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5 3requirements, such as frequential ones and hence to derive new algorithms. Also, we can use the reduced-order formulation to consider the expansion of the positively invariant set when the saturations are applied [I91 and to evaluate some performance requirements in the interior of the extended set. Investigations in these directions, as well as in the integration of reduced-order observers in the control schemes, are being developed. REFERENCESA. Benzaouia and A. Hmamed, "Regulator problem for linear continuous-time systems with nonsymmetrical constrained control,"

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“…The above proof of Lemma 1 closely followed the corresponding proof of the stable right inverse in [8] and [9].…”

Section: R ( S ) = F ( S ) U ( S ) + H(s)y(s)mentioning

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Observer parameterization for simultaneous observation

Kovacevic

Yao

Zhang

1996

IEEE Trans. Automat. Contr.

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“…Stable factorization theory is an effect method in study the many variables control system, which has been widely used in simultaneous stabilization and robust stabilization for ordinary system, for example Kale, 1990; Gao, 2000. In generalized system, stable factorization theory has also been studied thoroughly by Gao, 2000; Shi 2004, and Dong 2006.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Stabilization for a Class of Generalized Linear System

Ma²

2009

2009 International Conference on Measuring Technology and Mechatronics Automation

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The paper considers stable right inverse and stable right null space for a class of generalized linear systems via the stable fractional theory. Simultaneous stabilization problem for a class of generalized linear systems is discussed in terms of stable right inverse and stable right null space. A design approach of the simultaneously stabilizing controllers is proposed and parameterized using stable right inverse and stable right null space. A numerical example is given to illustrate the design procedure.

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