| Global Stabilizability and Observability imply Semi-global Stabilizability by Output Feedback (1994) | |||||||||||||||||
Abstract | |||||||||||||||||
| We show that smooth global (or even semi-global) stabilizability and uniform complete observability are sufficient properties to guarantee semi-global stabilizability by dynamic output feedback for continuous-time nonlinear systems. Keywords: Output feedback, Semi-global stabilizability, Uniform complete observability. Notation : ffl Let (0) denote the number of the differential equation : x = f(x): (0) For any continuous function V : A ! R, with A ae R p , we denote by V (0) the Lie derivative of V along the field f when it exists on A, i.e. : V (0) (x) = lim t!0 1 t [V (x + tf(x)) \Gamma V (x)] 8x 2 A : (1) When V is continuously differentiable we have trivially : V (0) (x) = @V @x (x)f(x) : (2) ffl j \Delta j denotes the Euclidean norm. ffl A function f : A ! R+ , with A ae R p , is said to be proper on A if : lim x!@A f(x) = 1 (3) where @A denotes the boundary of the set A. Note that if f is proper on A then, with 0 c 1 c 2 , fx : c 1 f(x) c 2 g is a co... | |||||||||||||||||
Publication details | |||||||||||||||||
| |||||||||||||||||