A Zero-sum Game Approach for H∞ Robust Control of Singularly Perturbed Bilinear Quadratic Systems

Original scientific paper A zero-sum game approach for H∞ robust control of continuous-time singularly perturbed bilinear quadratic systems with an additive disturbance input is presented. By regarding the stochastic disturbance (or the uncertainty) as "the nature player", the H∞ robust control problem is transformed into a twoperson zero-sum dynamic game model. By utilizing the singular perturbation decomposition method to solve the composite saddle-point equilibrium strategy of the system, the H∞ robust control strategy of the original singularly perturbed bilinear quadratic systems is obtained. A numerical example of a chemical reactor model is considered to verify the efficiency of the proposed algorithm.