Affiliations: [a]
Institute of System Science, Northeastern University, Shenyang, Liaoning, China
| [b] State Key Laboratory of Integrated Automation of Process Industry, Shenyang, Liaoning, China
| [c]
School of Science, Lanzhou University of Technology, Lanzhou, China
Abstract: In this paper, we analyse the robust stability and control problem of singular biological economic systems with uncertain items based on sliding mode control. Firstly, we establish a biological economic systems with uncertain parameters for the invasion of alien species. We get the uncertain T-S fuzzy singular systems by using a set of fuzzy rules and analyse the robust stability of nonautonomous uncertain T-S fuzzy singular systems. Then, we design the fuzzy integral sliding surface and controller. We prove that the state trajectories can arrive integral sliding surface in finite time, and we also provide the sufficient conditions that the sliding motion is globally asymptotically stable. Lastly, we give practical example to show the effectiveness and correctness of our conclusions about Scavenger invasion to Zhanjiang Chikan reservoirs. By using the real data and Fourier series to approximate the uncertain parameters, we verify the effectiveness and correctness of the sliding mode control.
Keywords: T-S fuzzy singular systems, robust stability, dynamic integral sliding mode
controller, alien species invasion, Fourier series approximation
