Sliding mode controller design via delay-dependent $$H_{\infty }$$ H ∞ stabilization criterion for load frequency regulation

Abstract

Abstract This work presents a control approach based on sliding-mode-control (SMC) to design robust $$H_{\infty }$$ H ∞ state feedback controllers for load frequency regulation of delayed interconnected power system (IPS) with parametric uncertainties. Considering both state feedback control strategy and delayed feedback control strategy, two SMC laws are proposed. The proposed control laws are designed to improve the stability and disturbance rejection performance of delayed IPS, while stabilization criteria in the form of linear matrix inequality are derived by choosing a Lyapunov–Krasovskii functional. An artificial time-delay is incorporated in the control law design of the delayed feedback control structure to enhance the controller performance. A numerical example is considered to study the control performance of the proposed controllers and simulation results are provided to observe the dynamic response of the IPS.

Keywords

• Sliding mode control
• Delay-dependent stabilization
• $$H_{\infty }$$ H ∞ performance
• Time-delay
• Load frequency control