A graphical tuning rule for higher-order systems with H∞ complementary sensitivity function framework

Abstract

This paper presents a novel approach for designing a decentralized control law for higher-order systems using the $H_{\infty }$ complementary sensitivity function (CSF) framework. Higher-order systems often exhibit complex dynamics and interactions between the variables, and hence, sophisticated control strategies are required to attain the desired performance. The proposed method exploits the robustness properties of the $H_{\infty }$ CSF to achieve effective decentralized control for higher-order systems. The CSF approach focuses on shaping the sensitivity of the system to disturbances, thereby minimizing the impact on system performance. The decentralized nature of the control law allows for independent control of each subsystem, reducing the complexity associated with higher-order systems. Furthermore, the controller parameters are determined graphically by enforcing the $H_{\infty }$ robust criterion. The effectiveness of the proposed methodology is demonstrated through simulations on higher-order systems from various domains, including process control and other systems. Comparative evaluations against existing control methods highlight the superiority of the $H_{\infty }$ CSF-based decentralized control law in terms of robustness and performance.