Robust pole assignment for continuous linear system based on optimization

Robust pole assignment problem for linear systems with uncertainty is studied in this paper. The proposed gradient flow optimization algorithm is used to solve the Sylvester equations, in order that the close-loop control systems have the desired robust poles, namely, the uniformly asymptotically stable performance. The feedback gain matrix of the synthesized system can be derived from the gradient flow optimization algorithm. Robust pole assignment for linear system via the gradient flow optimization algorithm is examined in illustrative example that shows that the proposed approach has an important effect on continuous linear system with uncertainty.