Title :
H∞ control and estimation problems with delayed measurements: state space solutions
Author :
Nagpal, Krishan M. ; Ravi, R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa Univ., Iowa City, IA, USA
fDate :
29 June-1 July 1994
Abstract :
Necessary and sufficient conditions for existence of estimators and controllers meeting desired H∞ performance criterion are given for the case where the finite sensor delays exist. A complete characterization of such controllers is also presented. The necessary and sufficient conditions are computable and are framed in terms of two algebraic Riccati equations and one finite-horizon Riccati differential equation. The controllers and estimators that are obtained here have a linear periodic structure and are easily implementable. At the foundation of these results lies a modified Nehari problem, the state space solution for which may be of independent interest.
Keywords :
H∞ control; Riccati equations; delays; multidimensional systems; nonlinear differential equations; state-space methods; H∞ control; H∞ performance criterion; algebraic Riccati equations; delayed measurements; estimation problems; finite sensor delays; finite-horizon Riccati differential equation; linear periodic structure; modified Nehari problem; necessary and sufficient existence conditions; state space solutions; Control systems; Delay estimation; Differential algebraic equations; Differential equations; Periodic structures; Riccati equations; Sensor phenomena and characterization; State estimation; State-space methods; Sufficient conditions;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.734984
