Design a Lyapunov control under input constraint for stabilisation of a CSTR
by Khalil Jouili; Naceur Benhadj Braiek
International Journal of Automation and Control (IJAAC), Vol. 10, No. 1, 2016

Abstract: In this paper, a new nonlinear controller synthesis approach is presented. This approach has been developed for determination of a Lyapunov function which is computed by solving Zubov's partial differential equation of the studied controlled system. A nonlinear control law with adjustable parameters of attraction regions is derived. A Lyapunov-based control synthesis is implemented to construct an input control that guarantees stability and high precision along a steady-state. The characterisation of parameters of attraction regions can cause serious practical problems as saturation behaviour. The performance of the developed technique has been examined for temperature control of an unstable reactor and its effectiveness has been demonstrated through numerical simulation. A genetic algorithm optimisation based on linear matrix inequality are implemented to solve such problem of the proposed approach. The performance of the developed technique has been examined for temperature control of an unstable reactor and its effectiveness has been demonstrated through numerical simulation.

Online publication date: Fri, 04-Mar-2016

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