Sliding-Mode Control of Uncertain Time-Varying Systems With State Delays: A Non-Negative Constraints Approach

This article investigates the sliding-mode control design problem for uncertain time-varying delayed systems. A novel non-negative constraints approach is proposed, which can be used to determine the stability of the controlled systems during the sliding motion. A new stability condition is obtained, which is easy to satisfy and verify. The parameters of the sliding-mode surface can be calculated by solving the non-negative constraints-based optimization problem defined in this article. Simulation examples are presented to illustrate the effectiveness and advantages of the developed strategy.

Automated summary

This article investigates the design problem of sliding-mode control for uncertain time-varying delayed systems. A novel approach with non-negative constraints is proposed to determine the stability of controlled systems during the sliding motion. A new stability condition is obtained, which is easy to satisfy and verify. The sliding-mode surface parameters can be calculated by solving the optimization problem based on non-negative constraints. Simulation examples are used to illustrate the effectiveness and advantages of the proposed strategy.