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Stability and convergence analysis of a continuous-time adaptive control algorithm for fermentation processes. (English) Zbl 0546.93023

Analysis and optimization of systems, Proc. 6th int. Conf., Nice 1984, Part 2, Lect. Notes Control Inf. Sci. 63, 468-474 (1984).
Summary: [For the entire collection see Zbl 0538.00036.]
A continuous-time nonlinear adaptive controller is designed for the regulation of the substrate concentration of nonlinear fermentation processes. The design is based on a time-varying nonlinear model obtained from material balance equations. The convergence and the stability of the algorithm are demonstrated, using Liapunov’s techniques, both in the deterministic case and in the bounded disturbance case.

MSC:

93B40 Computational methods in systems theory (MSC2010)
92Cxx Physiological, cellular and medical topics
93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
93C99 Model systems in control theory
93D20 Asymptotic stability in control theory
93D25 Input-output approaches in control theory

Citations:

Zbl 0538.00036