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Stability issues of finite precision state estimate feedback controller realizations for discrete time systems

Stability issues of finite precision state estimate feedback controller realizations for discrete time systems
Stability issues of finite precision state estimate feedback controller realizations for discrete time systems
A designed stable control system may become unstable when the digital controller is implemented with a fixed-point processor due to the Finite Word Length (FWL) effects. The FWL stability behavior of the digital control system depends on the actually used state space realization of the digital controller. For digital state-estimate feedback controllers, a FWL stability measure is derived, and a simple method is developed to compute the value of this measure for a given realization. From the implementation point of view, a more important problem is to find the optimal realization that provides the cheapest implementation in terms of word length and yet guarantees the stability of the closed-loop control system. The optimal state estimate feedback controller realization problem is studied in this paper. It is shown that the problem can be formulated as an unconstrained nonlinear programming problem to which many existing optimization algorithms, such as simplex search method, can be applied successfully. The theoretical results are illustrated by an example.
4189-4193
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Whidborn, J. F.
30a762f2-ca5c-4ffb-88f9-ef3dfd379c75
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Li, G.
f0f77e84-2dca-4e91-854e-156d36434431
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Whidborn, J. F.
30a762f2-ca5c-4ffb-88f9-ef3dfd379c75

Wu, J., Chen, S., Li, G., Istepanian, R. H., Chu, J. and Whidborn, J. F. (2000) Stability issues of finite precision state estimate feedback controller realizations for discrete time systems. Proceedings of 2000 American Control Conference. pp. 4189-4193 .

Record type: Conference or Workshop Item (Other)

Abstract

A designed stable control system may become unstable when the digital controller is implemented with a fixed-point processor due to the Finite Word Length (FWL) effects. The FWL stability behavior of the digital control system depends on the actually used state space realization of the digital controller. For digital state-estimate feedback controllers, a FWL stability measure is derived, and a simple method is developed to compute the value of this measure for a given realization. From the implementation point of view, a more important problem is to find the optimal realization that provides the cheapest implementation in terms of word length and yet guarantees the stability of the closed-loop control system. The optimal state estimate feedback controller realization problem is studied in this paper. It is shown that the problem can be formulated as an unconstrained nonlinear programming problem to which many existing optimization algorithms, such as simplex search method, can be applied successfully. The theoretical results are illustrated by an example.

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Published date: 2000
Additional Information: Presented at: 2000 American Control Conference, June 28-30, 2000, Chicago, USA
Venue - Dates: Proceedings of 2000 American Control Conference, 2000-01-01
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 252479
URI: http://eprints.soton.ac.uk/id/eprint/252479
PURE UUID: d2902c2d-58e0-4a5a-ac12-c5e9c326a11c

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Date deposited: 20 Jul 2000
Last modified: 24 Jan 2022 18:02

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Contributors

Author: J. Wu
Author: S. Chen
Author: G. Li
Author: R. H. Istepanian
Author: J. Chu
Author: J. F. Whidborn

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