Title :
Robust Stabilization for Single-Input Polytopic Nonlinear Systems
Author_Institution :
Electr. Eng. Dept., Nat. Taiwan Ocean Univ., Keelung
Abstract :
This note deals with the stabilization problem of single-input polytopic nonlinear systems. The robust control Lyapunov function approach is used to derive a sufficient condition for the existence of time-invariant, continuous, asymptotically stabilizing state feedback controllers. The obtained sufficient condition is proven also necessary for the existence of stabilizing state feedback controllers such that the closed-loop system has a robust Lyapunov function for all possible uncertainties. In addition, a universal formula for constructing stabilizing controllers when the presented sufficient condition is met is provided. The results are illustrated by a numerical example
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; continuous time systems; nonlinear control systems; robust control; state feedback; asymptotic stability state feedback control; closed-loop system; robust control Lyapunov function; robust stabilization; single-input polytopic nonlinear system; time-invariant continuous control; Control system synthesis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Robustness; State feedback; Sufficient conditions; Uncertainty; Continuous-time systems; control Lyapunov function; nonlinear systems; polytopic systems; state feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2006.880778
