State Feedback Law For Systems Research Articles

Design of robust state feedback laws

Existence criteria and computational methods are presented for finding stabilizing state feedback laws for systems with uncertain state or control matrices. The uncertainties are modelled as sector bounded non-linearities, and feedback laws ensuring global asymptotic closed loop stability are obtained using Lyapunov'e direct method. The algorithms essentially amount to repeatedly solving a parameter dependent Riccati equation until the maximal solution becomes positive definite.