Title :
Dissipative LQG control systems
Author :
Hewer, Gary ; Kenney, Charles
Author_Institution :
US Naval Weapons Center, China Lake, CA, USA
fDate :
8/1/1989 12:00:00 AM
Abstract :
An indefinite Lyapunov test matrix for closed-loop dissipativeness using LQG (linear quadratic Gaussian) design is presented. The application of this test to relaxation systems, lossless systems, Hamiltonian systems, positive real systems, and second-order systems with collocated rate sensors and actuators is explored. The Lyapunov test also helps clarify the role of collocated sensors and actuators in LQG design. A set of duality theorems based on the indefinite Lyapunov test matrix is derived
Keywords :
Lyapunov methods; duality (mathematics); matrix algebra; optimal control; Hamiltonian systems; LQG control systems; Lyapunov methods; closed-loop dissipativeness; collocated rate sensors; duality theorems; indefinite Lyapunov test matrix; lossless systems; optimal control; positive real systems; relaxation systems; second-order systems; Actuators; Control systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Linear systems; Riccati equations; Sensor systems and applications; Symmetric matrices; System testing; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
