Abstract
This paper studies the sliding mode control (SMC) law design problem of a class of positive systems with Lipschitz nonlinearities. We aim to devise a proper SMC law to drive the sliding mode dynamics onto the designated sliding mode surface. By choosing proper Lyapunov functions, the positiveness and the asymptotic stability of the closed-loop SMC system are guaranteed by the presented sufficient conditions. The SMC law design problem can be solved by a linear matrix inequalities technique. In the end, the feasibility and the validity of the raised method are provided by the simulation results.
Highlights
Sliding mode control (SMC) approach has attracted many researchers’ attention due to the fast responses, invariance to external disturbances and good transient performance
When we model and analyze a dynamical system in actual engineering, we always need to consider the nonlinearities
The SMC design problems for a class of Lipschitz nonlinear positive systems were studied in this paper
Summary
Sliding mode control (SMC) approach has attracted many researchers’ attention due to the fast responses, invariance to external disturbances and good transient performance. The SMC control strategy is a feedback control law which forces the system dynamics onto the predetermined sliding mode surfaces. For more details of integral-type sliding mode control, we can see the results in [10] and [11]. In [24], the truncated prediction output feedback control problem was extended to Lipschitz nonlinear input delay systems. Based on the published available results, the SMC law design problems for positive systems with Lipschitz nonlinearities have not been published. These motivate our research on this topic. For the Lipschitz nonlinear positive systems, the SMC law design problem is considered in this paper. A simulation example is given as last to show the effectiveness of the designed approach
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