Dochain, D.; Bastin, G. 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. Cited in 2 Documents 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 Keywords:continuous-time nonlinear adaptive controller; nonlinear fermentation processes; algorithm Citations:Zbl 0538.00036 PDFBibTeX XML