Controller design for bilinear systems with parametric uncertainties.
Shi, Peng, Shue, Shyh-Pyng, Shi, Yan, Agarwal, Ramesh K. (1999)
Mathematical Problems in Engineering
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Controller design for bilinear systems with parametric uncertainties.
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In this work we consider the problem of determining and implementing a state feedback stabilizing control law for a laboratory two-tank dynamic system in the presence of state and control constraints. We do this by exploiting the properties of the polyhedral Lyapunov functions, i. e. Lyapunov functions whose level surfaces are polyhedra, in view of their capability of providing an arbitrarily good approximation of the maximal set of attraction, which is the largest set of initial states...