Title :
On the stabilization and observation of nonlinear/uncertain dynamic systems
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
The problem of stabilization and observation of uncertain and/or nonlinear dynamic systems for which matching conditions are not satisfied is investigated. No statistical description of uncertain elements is assumed. The uncertain and/or nonlinear quantities are described only in terms of bounds on their possible sizes. Stabilizing feedback controllers and observers are proposed whose design is based on the constructive use of Lyapunov functions and the Bellman-Gronwall lemma.
Keywords :
"Robustness","Robust stability","Lyapunov method","Uncertainty","State-space methods","Adaptive control","Nonlinear dynamical systems","Stability analysis","Linear systems","Time varying systems"
Journal_Title :
IEEE Transactions on Automatic Control