Robust Control of Multivariable and Large Scale Systems.
Final rept. Jul 84-Oct 85,
HONEYWELL SYSTEMS AND RESEARCH CENTER MINNEAPOLIS MN
Pagination or Media Count:
New methods are presented for analysis and synthesis of control systems subject to structured uncertainties. The technical approach involves the structured singular value, as an analysis tool and H infinity as a synthesis tool. Alternative formulations are compared with the H infinity approach, extensions of mu to handle real parameter problems are presented, and the issue of the convergence of mu synthesis to a global optimum is studied. A comprehensive solution for the synthesis of general optimal controllers is given for linear lumped time-invariant systems. The existence of an optimal solution for H inifinity optimization is proved, and some properties of this solution are discovered. The method called Eulers constant iteration is presented and its convergence properties are established. A new algorithm for solving a class of algebraic riccati equations is obtained Explicit error bounds for model reduction in the synthesis process are derived. The constructions use standard matrix operations and linear algebra applied to state-space representations of linear systems.
- Statistics and Probability