Robust H∞ state feedback control methods for continuous-time bilinear systems with an additive disturbance input are presented. The robust H∞ control for bilinear systems requires a solution of the state dependent algebraic Riccati equation (SDARE). However, the proposed robust H∞ control techniques based on the successive approximation method solve the SDARE by converting the bilinear system into the time varying linear system and solving a sequence of algebraic Riccati and Lyapunov equations, respectively. Numerical examples are considered to verify the efficiency of the proposed algorithms.
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering