Observer-Based Discrete-Time Sliding-Mode Control For Higher-Order Dynamic Delay-Time System

The linear time invariant (LTI) observer-based discrete-time sliding-mode control problem is considered for a robust tracking of higher-order dynamic delay-time systems. Here, Luenberger observer is used for estimation of system states as all states are not available for measurement. Sliding surface is selected based on output feedback and observer states to realize the sliding-mode control. Observer and controller parameters are tabulated by pole placement strategy. The performance of proposed control is improved with dual tuning parameter in terms of settling time and control effort. Finally, non-oscillatory, oscillatory, integrating, and non-minimum phase systems with delay-time examples are implemented with numerical simulations to demonstrate the validity of the proposed control method.