Dynamic output linearization of nonlinear discrete-time control systems
Dynamic output linearization of nonlinear discrete-time control systems
- Author(s): E. Pawluszewicz
- DOI: 10.1049/cp:19960519
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- Author(s): E. Pawluszewicz Source: UKACC International Conference on Control. Control '96, 1996 p. 13 – 18
- Conference: UKACC International Conference on Control. Control '96
- DOI: 10.1049/cp:19960519
- ISBN: 0 85296 666 0
- Location: Exeter, UK
- Conference date: 2-5 Sept. 1996
- Format: PDF
The problem of dynamic output feedback equivalence of nonlinear observable discrete-time control systems with outputs has been studied by Pawluszewics-Bartosiewics. In this paper we use those results to achieve equivalence of a nonlinear system to a linear one. In this way we obtain an algebraic criterion of dynamic output linearization for discrete-time systems. We recall the concept of anticipating output equivalence, where transformations of outputs and controls depend on future values, and the concept of dynamic output equivalence, depending on past and present controls and outputs values. In order to give the criterion of linearisation of a discrete-time control system we have to use the difference output algebra and the difference output universe associated with the given system.
Inspec keywords: feedback; nonlinear control systems; linearisation techniques; dynamics; discrete time systems; set theory; algebra
Subjects: Algebra; Discrete control systems; Control system analysis and synthesis methods; Nonlinear control systems; Combinatorial mathematics
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