Research Article

A Sum of Squares-Based Approach to Robust Nonlinear Mixed H2/H Output-Feedback Control for a Class of Uncertain Polynomial Systems

Table 1

Notations used in this paper.

NotationDefinition

The set of -dimensional real vectors
()The set of all real (positive-define) matrices
The set of all real polynomial function of vector
()The set of all real polynomial (positive-define) matrices of vector
The set of all SOS polynomials.
and The identity matrix and zero matrix with proper dimensions
The symmetric entries in a symmetric matrix