Dissipative LQG control systems
- 1 January 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 34 (8) , 866-870
- https://doi.org/10.1109/9.29429
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
This publication has 18 references indexed in Scilit:
- Robustness properties of collocated controllers for flexible spacecraftJournal of Guidance, Control, and Dynamics, 1986
- LQG balancing and reduced LQG compensation of symmetric passive systems†International Journal of Control, 1985
- Controllability and observability criteria for multivariable linear second-order modelsIEEE Transactions on Automatic Control, 1984
- A new set of invariants for linear systems--Application to reduced order compensator designIEEE Transactions on Automatic Control, 1983
- Stability of Large Space Structure Control Systems Using Positivity ConceptsJournal of Guidance and Control, 1981
- Controllability and Observability of Linear Matrix-Second-Order SystemsJournal of Applied Mechanics, 1980
- Direct Velocity Feedback Control of Large Space StructuresJournal of Guidance and Control, 1979
- LIE ALGEBRAS AND LINEAR DIFFERENTIAL EQUATIONSPublished by Elsevier ,1972
- Norms and inequalities for condition numbers, IILinear Algebra and its Applications, 1969
- Stability theory for ordinary differential equationsJournal of Differential Equations, 1968