A ZERO-SUM GAME APPROACH FOR H-infinity ROBUST CONTROL OF SINGULARLY PERTURBED BILINEAR QUADRATIC SYSTEMS

作者：Bin, Ning; Zhang, Cheng-ke; Zhu, Huai-nian^*; Cao, Ming; Hu, Feng

来源：Tehnicki Vjesnik, 2017, 24(3): 777-782.

DOI：10.17559/TV-20161112172344

• bilinear quadratic system
• H-infinity robust control
• singularly perturbed
• zero-sum game theory

A zero-sum game approach for H-infinity 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-infinity robust control problem is transformed into a two-person 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-infinity 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.

• 出版日期2017-6
• 单位广东工业大学