Stability analysis and constrained fuzzy tracking control of positive nonlinear systems

作者：Zheng, Xiaolong^*; Wang, Xinyong; Yin, Yunfei; Hu, Lili

来源：Nonlinear Dynamics, 2016, 83(4): 2509-2522.

DOI：10.1007/s11071-015-2499-x

• Positive nonlinear systems
• T-S fuzzy system
• Quadratic copositive Lyapunov function
• Constrained tracking control

This paper is concerned with stability and tracking control of positive nonlinear systems via Takagi-Sugeno (T-S) fuzzy modeling. Firstly, some less conservative stability conditions for positive nonlinear systems that can be represented by a class of positive T-S fuzzy model with only nonnegative state variables are derived by proposing the so-called quadratic copositive Lyapunov functions. Secondly, a constrained control via the parallel distributed compensation scheme is designed to stabilize a positive nonlinear system, while imposing positivity in closed loop, upon which a constrained fuzzy tracking controller is also given to guarantee the tracking performance and positivity in closed loop. Finally, a numerical example is provided to show the advantages of the proposed methods, and an example of a real plant is presented to demonstrate the controller design scheme.

• 出版日期2016-3
• 单位渤海大学