Robust stability for nonlinear sampled-data control systems and Aizerman's conjecture
Robust stability for nonlinear sampled-data control systems and Aizerman's conjecture
- Author(s): Y. Okuyama and F. Takemori
- DOI: 10.1049/cp:19980305
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- Author(s): Y. Okuyama and F. Takemori Source: UKACC International Conference on Control (CONTROL '98), 1998 p. 646 – 651
- Conference: UKACC International Conference on Control (CONTROL '98)
- DOI: 10.1049/cp:19980305
- ISBN: 0 85296 708 X
- Location: Swansea, UK
- Conference date: 1-4 Sept. 1998
- Format: PDF
The robust stability criterion for sampled-data control systems with a sector nonlinearity was presented in our previous papers (1996, 1998). Although it is applicable only to the sampled-data control system of a certain class, a usual discrete-time control system belongs to this type of class. The criterion contains the robust stability condition in regard to the nonlinear allowable band (sector) for continuous-time systems and the linear allowable gain band (interval set) for discrete-time systems. The paper focuses primarily on the concept of robust stability in order to analyze a nonlinear element by the linear gain band, in other words, the validity of Aizerman's conjecture extended into discrete-time systems.
Inspec keywords: control system analysis; robust control; sampled data systems; stability criteria; nonlinear control systems
Subjects: Control system analysis and synthesis methods; Stability in control theory; Nonlinear control systems; Discrete control systems
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