Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems

Dina Shona Laila, A. Astolfi

Research output: Contribution to conferencePaper

Abstract

The success in a model-based direct discrete-time design for nonlinear sampled-data control systems depends on the availability of a good discrete-time plant model to use for the design. Unfortunately, even if the continuous-time model of a plant is known, we cannot in general compute the exact discrete-time model of the plant, since it requires computing an explicit analytic solution of a nonlinear differential equation. One way to solve the problem of finding a good model is by using an approximate model of the plant. A general framework for stabilization of sampled-data nonlinear systems via their approximate discrete-time models was presented in [11]. It is suggested that approximate discrete-time models can be obtained using various numerical algorithms, such as Runge-Kutta and multistep methods. Yet, to the best of the authors knowledge, almost all available results on this direction view the systems as dissipative systems, whereas for design purpose, there are many systems that are better modeled as Hamiltonian conservative systems.
Original languageEnglish
Pages87-98
DOIs
Publication statusPublished - 2006
Event3rd IFAC Workshop - Nagoya, Japan
Duration: 1 Jul 20061 Jul 2006

Workshop

Workshop3rd IFAC Workshop
CountryJapan
CityNagoya
Period1/07/061/07/06

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Hamiltonians
Control systems
Sampled data control systems
Nonlinear control systems
Nonlinear systems
Differential equations
Stabilization
Availability

Bibliographical note

The full text is not available on the repository.

Cite this

Laila, D. S., & Astolfi, A. (2006). Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems. 87-98. Paper presented at 3rd IFAC Workshop, Nagoya, Japan. https://doi.org/10.1007/978-3-540-73890-9_6

Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems. / Laila, Dina Shona; Astolfi, A.

2006. 87-98 Paper presented at 3rd IFAC Workshop, Nagoya, Japan.

Research output: Contribution to conferencePaper

Laila, DS & Astolfi, A 2006, 'Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems' Paper presented at 3rd IFAC Workshop, Nagoya, Japan, 1/07/06 - 1/07/06, pp. 87-98. https://doi.org/10.1007/978-3-540-73890-9_6
Laila, Dina Shona ; Astolfi, A. / Direct Discrete-Time Design for Sampled-Data Hamiltonian Control Systems. Paper presented at 3rd IFAC Workshop, Nagoya, Japan.
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