Time Domain Design of Robust Controllers for LQG (Linear Quadratic Gaussian); Application to Large Space Structures
Abstract
The aspect of 'Robustness' for linear multivariable systems in time domain is the central theme of the research under the present contract. Upper bonds on the linear, structured, time varying perturbation of an asymptotically stable linear time invariant regulator are obtained to maintain both stability and acceptable regulation, using Lyapunov approach. Improvement of the proposed measures over existing measures is illustrated with the help of examples. It is shown that by employing a scaling transformation on the nominal system, it is possible to further improve the upper bound. The proposed 'Perturbation Round Analysis' is used to design robust controllers for Linear Quadratic Regulators with structured uncertainity. Introducing quantitative measures called 'Stability Robustness Index' and 'Performance Robustness Index', design algorithms are presented by which one can achieve a trade off between nominal performance, stability robustness and performance robustness. Applications considered include aircraft control problems, large space structure control problems having uncertain modal data and mode truncation as the perturbations. Keywords: Linear control systems; Optimal control; Robust control; Structured uncertainity; Stability robustness; Performance robustness; Linear quadratic regulators.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1985
- Accession Number
- ADA163635
Entities
People
- Rama K. Yedavalli
Organizations
- Stevens Institute of Technology