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Pregled bibliografske jedinice broj: 435073

Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach


Raković, Saša V.; Barić, Miroslav
Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach // IEEE Transactions on Automatic Control, 54 (2009), 11; 2686-2692 doi:10.1109/TAC.2009.2031579 (međunarodna recenzija, članak, znanstveni)


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Naslov
Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach

Autori
Raković, Saša V. ; Barić, Miroslav

Izvornik
IEEE Transactions on Automatic Control (0018-9286) 54 (2009), 11; 2686-2692

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Constrained control; Lyapunov functions; stability analysis

Sažetak
This technical note utilizes Minkowski algebra of convex sets to characterize a family of local control Lyapunov functions for constrained linear discrete-time systems. Local control Lyapunov functions are induced by parametrized contractive invariant sets. Underlying contractive invariant sets belong to a family of Minkowski decomposable convex sets and are, in fact, parametrized by a basic shape set and linear transformations of system matrices and a set of design matrices. Corresponding local control Lyapunov functions can be detected by solving a single, tractable, convex optimization problem which in case of polyhedral constraints reduces to a single linear program. The a priori complexity estimate of the characterized local control Lyapunov function is provided for some practically relevant cases. An illustrative example and relevant numerical experience are also reported.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Računarstvo, Temeljne tehničke znanosti



POVEZANOST RADA


Projekti:
036-0361621-3012 - Napredne strategije upravljanja i estimacije u složenim sustavima (Perić, Nedjeljko, MZO ) ( CroRIS)
036-0363078-3018 - Upravljanje mobilnim robotima i vozilima u nepoznatim i dinamičkim okruženjima (Petrović, Ivan, MZO ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Miroslav Barić (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Raković, Saša V.; Barić, Miroslav
Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach // IEEE Transactions on Automatic Control, 54 (2009), 11; 2686-2692 doi:10.1109/TAC.2009.2031579 (međunarodna recenzija, članak, znanstveni)
Raković, S. & Barić, M. (2009) Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach. IEEE Transactions on Automatic Control, 54 (11), 2686-2692 doi:10.1109/TAC.2009.2031579.
@article{article, author = {Rakovi\'{c}, Sa\v{s}a V. and Bari\'{c}, Miroslav}, year = {2009}, pages = {2686-2692}, DOI = {10.1109/TAC.2009.2031579}, keywords = {Constrained control, Lyapunov functions, stability analysis}, journal = {IEEE Transactions on Automatic Control}, doi = {10.1109/TAC.2009.2031579}, volume = {54}, number = {11}, issn = {0018-9286}, title = {Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach}, keyword = {Constrained control, Lyapunov functions, stability analysis} }
@article{article, author = {Rakovi\'{c}, Sa\v{s}a V. and Bari\'{c}, Miroslav}, year = {2009}, pages = {2686-2692}, DOI = {10.1109/TAC.2009.2031579}, keywords = {Constrained control, Lyapunov functions, stability analysis}, journal = {IEEE Transactions on Automatic Control}, doi = {10.1109/TAC.2009.2031579}, volume = {54}, number = {11}, issn = {0018-9286}, title = {Local Control Lyapunov Functions for Constrained Linear Discrete-Time Systems: The Minkowski Algebra Approach}, keyword = {Constrained control, Lyapunov functions, stability analysis} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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