Title :
On nonlinear H∞ control under sampled measurements
Author_Institution :
Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France
fDate :
6/1/1997 12:00:00 AM
Abstract :
This paper deals with the nonlinear H∞ control problem with sampled measurement feedback. This problem has already been studied in Suzuki et al. (1995), where, using a certainty equivalence principle, a control solution involving a state estimator with a linear injection gain is proposed. Using the same general framework, we propose a more refined estimator with a nonlinear injection gain. This gain is shown to be connected to a periodic solution of a Hamilton-Jacobi inequality with jumps
Keywords :
H∞ control; closed loop systems; nonlinear control systems; sampled data systems; state estimation; state feedback; Hamilton-Jacobi inequality; certainty equivalence principle; jumps; linear injection gain; nonlinear H∞ control; nonlinear injection gain; periodic solution; sampled measurement feedback; state estimator; Differential algebraic equations; Gain measurement; H infinity control; Linear feedback control systems; Noise measurement; Performance evaluation; Riccati equations; Sampling methods; State estimation; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
