H2H_2 optimal controllers with observer based architecture for continuous-time systems : separation principle

For a general H2 optimal control problem, at first all Hz optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer based architecture. Both full order as well as reduced order observer based H2 optimal controllers are characterized and parameterized. Also, systematic methods ofdesigning them are presented. An important problem that can be coined as an H2 optimal control problem with simultaneous pole placement, is formulated and solved. That is, since in general there exist many H2 optimal measurement feedback controllers, utilizing such flexibility and freedom, we can solve the problem of simultaneously placing the closed-loop poles at desirable locations whenever possible while still preserving H2 optimality. All the design algorithms developed here are easily computer implementable

An Approximate Design of Optimal Regulators for High-Order Linear Plants

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryJoint Services Electronics Program / DAAB-07-67-C-0199Air Force AFOSR 931-6

Singular Perturbations and Order Reduction in Control Theory - An Overview

Coordinated Science Laboratory was formerly known as Control Systems LaboratoryJoint Services Electronics Program / DAAB-07-72-C-0259U.S. Air Force / AFOSR 73-257

H2H_2 optimal controllers with observer based architecture for continuous-time systems : separation principle

For a general H2 optimal control problem, at first all Hz optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer based architecture. Both full order as well as reduced order observer based H2 optimal controllers are characterized and parameterized. Also, systematic methods ofdesigning them are presented. An important problem that can be coined as an H2 optimal control problem with simultaneous pole placement, is formulated and solved. That is, since in general there exist many H2 optimal measurement feedback controllers, utilizing such flexibility and freedom, we can solve the problem of simultaneously placing the closed-loop poles at desirable locations whenever possible while still preserving H2 optimality. All the design algorithms developed here are easily computer implementable

Analysis, design, and performance limitations of H2 optimal filtering in the presence of an additional input with known frequency

In this paper, the inputs are considered to be of two types. The first type of input, as in standard H2 optimal filtering, is a zero mean wide sense stationary white noise, while the second type is a linear combination of sinusoidal signals each of which has an unknown amplitude and phase but known frequency. The generalized H2 optimal filtering problem seeks to find a linear stable filter that estimates a desired output such that the H2 norm of the transfer matrix from the white noise input to the estimation error is minimized subject to the constraint that the mean of the error converges to zero for all initial conditions of the given system and filter and for all possible external sinusoidal signals. The analysis, design, and performance limitations of generalized H2 optimal filters are presented here

H2 optimal controllers with measurement feedback for continuous-time systems - flexibility in closed-loop pole placement

For a general H2 optimal control problem, at first all H2 optimal measurement feedback controllers are characterized and parameterized, and then attention is focused on controllers with observer-based architecture. Both full-order as well as reduced-order observer-based H2 optimal controllers are characterized and parameterized. Also, systematic methods of designing them are presented. An important problem, coined as an H2 optimal control problem with simultaneous pole placement, is formulated and solved. That is, since in general there exist many H2 optimal measurement feedback controllers, utilizing such flexibility and freedom, we can solve the problem of simultaneously placing the closed-loop poles at desirable locations whenever possible while still preserving H2 optimality. All the design algorithms developed here are easily computer implementable