Hsub2 Optimal Control with H-Infinity, mu, and Lsub1 Constraints
Abstract
H2 optimization with convex constraints is considered. The optimal (order-free) solution is shown to be unique through convex analysis. H-inf constraints with feedforward terms and singular constraints are also allowed. The optimal fixed-order solution is shown to have the same characteristics as a mixed problem with regular H-inf constraints. Furthermore, these results are shown to hold for controller orders as low as the optimal H2 order. A numerical method is developed based on analytical gradients which results in sub- and super-optimal fixed-order controllers. The problem is extended to include an upper bound on a mu constraint through a modification of the D-K iteration method. Next. multiple H-inf constraints are developed. Fixed-order solutions to the multiple constraint problem are characterized and the numerical method is extended to include multiple constraints. Next, a continuous Ll constraint is added. A numerical approach is proposed based on bounding the Ll-norm by the 11- norm of an Euler approximating system. Finally. H2 optimization with a finite set of H-inf, mu, and Ll constraints is characterized. SISO and MIMO numerical examples demonstrate the application of these methods. Control theory, Mathematical programming, Riccati equation, H2 Optimization, H-inf Optimization, Mu-Synthesis, Ll Optimization, Multiobjective optimal control.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1994
- Accession Number
- ADA280593
Entities
People
- David E. Walker
Organizations
- Air Force Institute of Technology