Title

(Almost) Exact Solution To General Siso Mixed H2/H∞ Problems Via Convex Optimization

Abstract

The mixed (H2/H∞) control problem can be motivated as a nominal LQG optimal control problem, subject to robust stability constraints, expressed in the form of an H∞ norm bound. A related modified problem consisting of minimizing an upper bound of the H2 cost subject to H∞ constraints was introduced in [1]. Although there presently exist efficient methods to solve this modified problem, the original problem remains, to a large extent, still open. In this paper we propose a method for solving general discrete-time SISO (H2/H∞) problems. This method involves solving a sequence of problems, each one consisting of a finite-dimensional convex optimization and an unconstrained Nehari approximation problem.

Publication Date

12-1-1993

Publication Title

American Control Conference

Number of Pages

250-254

Document Type

Article; Proceedings Paper

Identifier

scopus

Personal Identifier

scopus

Socpus ID

0027836960 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027836960

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