Explicit optimality conditions for fixed-order dynamic compensation
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
We consider steady-state, linear-quadratic fixed-order dynamic compensation in the presence of disturbance and observation noise. First-order necessary conditions for the optimization problem are derived in a new and highly simplified form. These necessary conditions constitute a system of two modified Riccati equations and two modified Lyapunov equations coupled by a projection which plays an essential role in defining the geometric structure of the compensator. When the order of the compensator is equal to the dimension of the plant, the classical linear-quadratic-Gaussian results are immediately obtained.Keywords
This publication has 10 references indexed in Scilit:
- Controller reduction by component cost analysisIEEE Transactions on Automatic Control, 1984
- The optimal projection approach to fixed-order compensation - Numerical methods and illustrative resultsPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1983
- Model reduction via balanced state space representationsIEEE Transactions on Automatic Control, 1982
- Optimality conditions for fixed-order dynamic compensation of flexible spacecraft with uncertain parametersPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1982
- Suboptimal LQG-design via balanced realizationsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1981
- Principal component analysis in linear systems: Controllability, observability, and model reductionIEEE Transactions on Automatic Control, 1981
- Parameter optimization in linear systems with arbitrarily constrained controller structureIEEE Transactions on Automatic Control, 1980
- Optimal constant controllers for stochastic linear systemsIEEE Transactions on Automatic Control, 1975
- Optimal limited state variable feedback controllers for linear systemsIEEE Transactions on Automatic Control, 1971
- Optimum solution of model-reduction problemProceedings of the Institution of Electrical Engineers, 1970