Optimal feedback control proportional to the system state can be found for non-causal descriptor systems

Galina Kurina

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 4, page 591-593
  • ISSN: 1641-876X

Abstract

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Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.

How to cite

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Kurina, Galina. "Optimal feedback control proportional to the system state can be found for non-causal descriptor systems." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 591-593. <http://eudml.org/doc/207615>.

@article{Kurina2002,
abstract = {Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.},
author = {Kurina, Galina},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {non-causal descriptor systems; optimal feedback control; optimal feedback; non-symmetric solution; algebraic Riccati equation},
language = {eng},
number = {4},
pages = {591-593},
title = {Optimal feedback control proportional to the system state can be found for non-causal descriptor systems},
url = {http://eudml.org/doc/207615},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Kurina, Galina
TI - Optimal feedback control proportional to the system state can be found for non-causal descriptor systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 4
SP - 591
EP - 593
AB - Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.
LA - eng
KW - non-causal descriptor systems; optimal feedback control; optimal feedback; non-symmetric solution; algebraic Riccati equation
UR - http://eudml.org/doc/207615
ER -

References

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  1. Kawamoto A., Takaba K. and Katayama T. (1998): On the generalized algebraic Riccati equation for continuous-time descriptor systems. - Proc. 13-th Int. Symp. Mathematical Theory of Networks and Systems, Padova, Italy, pp. 649-652. Zbl0931.93059
  2. Kostjukova O.I. (2000): Optimality criterion for a linear-quadratic optimal control problem by a descriptor system. - Differencial'nye Uravnenija, Vol. 36, No. 11, pp. 1475-1481 (in Russian). 
  3. Kurina G.A. (1982): Design of feedback controlfor linear control systems non-solvable with respect to the derivative. - Unpublished paper, VINITI, No. 3619-82, Voronezh Forestry Institute (in Russian)). 
  4. Kurina G.A. (1984): Feedback control for linear systems non-solvable with respect to the derivative. - Avtomatika i Telemekhanika, No. 6, pp. 37-41 (in Russian). 
  5. Kurina G.A. (1992): Singular perturbations of control problems with state equation non-solvable with respect to the derivative. A survey. - Izvestija RAN. Tekhnicheskaya Kibernetika, No. 4, pp. 20-48 (in Russian). 
  6. Kurina G.A. (1993): On regulating by a descriptor system in an infinite interval. - Izvestija RAN, Tekhnicheskaya Kibernetika, No. 6, pp. 33-38 (in Russian). 
  7. Lewis F.L. (1986): A survey of linear singular systems. - Circ. Syst. Signal Process., Vol. 5, No. 1, pp. 3-36. Zbl0613.93029
  8. Mehrmann V. (1991): The Autonomous Linear Quadratic Control Problem. Berlin: Springer. Zbl0746.93001
  9. Muller P.C. (1998): Stability and optimal control of nonlinear descriptor systems: A survey. - Appl. Math. Comput. Sci., Vol. 8, No. 2, pp. 269-286. Zbl0910.93047

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