In this paper, the stabilization problem of continuous-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to quadratic autonomous nonlinear systems are established. Then these results are used for the determination of linear state-feedback constrained and unconstrained control laws making a prespecified polyhedral set domain of attraction of the resulting closed-loop system.
|Title of host publication||Proceedings of the 18th Mediterranean Conference on Control and Automation (MED),23-25 june 2010, Marrakech, Morocco|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2010|