Robust Stabilization of Uncertain Linear Systems: Quadratic Stabilizability and H∞ Control Theory

Abstract

This paper is focused on the problem of robustly stabilizing a linear uncertain system. A complete solution to a certain quadratic stabilization problem in which uncertainty enters both the state and the input matrices of the system is given. Relations between these robust stabilization problems and Hoc control theory are explored. It is also shown that in a number of cases, if a robust stabilization problem can be solved via Lyapunov methods, then it can also be solved via Hcc control theory-based methods. Show more