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Stability issues of finite-precision controller structures for sampled-data systems

Stability issues of finite-precision controller structures for sampled-data systems
Stability issues of finite-precision controller structures for sampled-data systems
The paper investigates the sensitivity of closed-loop stability with respect to (w.r.t.) finite word length (FWL) effects in the implementation of the digital controller coefficients. Both the shift and delta operators are considered for controller parameterization. Two tractable lower-bound measures of closed-loop stability are studied, and the optimal realization of general FWL controller structures is formulated as a constrained nonlinear optimization problem. The emphasis of the paper however is on the derivation of a new algorithmic approach for the optimal realization of FWL PID controller structures. It is shown that, for PID structures, the optimization can be decoupled into two unconstrained problems with a maximum of four independent variables. An optimization strategy is developed to provide an efficient computational method for searching the optimal FWL PID controller realization with maximum stability bound and minimum bit-length requirement. Simulation results involving an IFAC benchmark PID controller system are presented to illustrate the effectiveness of the proposed strategy.
0020-3270
1331-1342
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Istepanian, R. H.
b71b8b46-cb69-4fcd-8253-d2e7a93079ea
Chen, S.
ac405529-3375-471a-8257-bda5c0d10e53

Wu, J., Istepanian, R. H. and Chen, S. (1999) Stability issues of finite-precision controller structures for sampled-data systems. International Journal of Control, 72 (15), 1331-1342.

Record type: Article

Abstract

The paper investigates the sensitivity of closed-loop stability with respect to (w.r.t.) finite word length (FWL) effects in the implementation of the digital controller coefficients. Both the shift and delta operators are considered for controller parameterization. Two tractable lower-bound measures of closed-loop stability are studied, and the optimal realization of general FWL controller structures is formulated as a constrained nonlinear optimization problem. The emphasis of the paper however is on the derivation of a new algorithmic approach for the optimal realization of FWL PID controller structures. It is shown that, for PID structures, the optimization can be decoupled into two unconstrained problems with a maximum of four independent variables. An optimization strategy is developed to provide an efficient computational method for searching the optimal FWL PID controller realization with maximum stability bound and minimum bit-length requirement. Simulation results involving an IFAC benchmark PID controller system are presented to illustrate the effectiveness of the proposed strategy.

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Published date: October 1999
Additional Information: Address: London
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 251047
URI: http://eprints.soton.ac.uk/id/eprint/251047
ISSN: 0020-3270
PURE UUID: fdbe1775-fa35-4700-89b3-a03a4d8bdf95

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Date deposited: 11 Oct 1999
Last modified: 02 Dec 2019 21:13

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