Decentralized robust preview control for uncertain continuous-time interconnected systems

Abstract

This paper investigates the problem of robust preview tracking control for uncertain continuous-time interconnected systems. We adopt the technology of decentralized control. The tracking controller for each uncertain isolated subsystem is first designed. With the help of an uncertain error system, the considered tracking problem is converted into a regulation problem. The preview tracking controller for the nominal system is obtained by utilizing existing results. A novel method is proposed to tackle the uncertainty in the systems. In this method, the uncertainty bound is incorporated into the cost function. As a result, the preview tracking controller of the nominal system can be treated as a robust preview controller of the uncertain isolated subsystem. Then, the controllers of the uncertain isolated subsystems are assembled as a robust preview controller of uncertain interconnected systems. Finally, an academic numerical example is presented to show the effectiveness and superiority of the proposed controller.

Feasibility and stability of preview control for 2-D discrete-time systems described by the Roesser model

“…Future studies will investigate system latency and robustness to sensor and road disturbances in more detail. Xie et al [43] have analyzed an effective preview control for perturbed CT networked systems, which is a challenging issue. They use decentralized control technologies.…”

Observer-based preview control for T-S fuzzy systems

“…Because this approach is lengthy and cannot include the control performance parameters directly, under the framework of linear quadratic optimal control, optimal preview controller design methods were presented for linear time-invariant discrete-time systems (Katayama et al ., 1985; Lu et al ., 2019; Lan et al ., 2020) and linear continuous-time systems (Liao et al ., 2018; Lu et al ., 2023). Considering the requirements of actual control systems, PC has been extended to complex systems, such as uncertain systems (Li et al ., 2021a; Gershon and Shaked, 2014; Li, 2021; Xie et al ., 2023), nonlinear systems (Huang and Huang, 2020; Yu and Liao, 2019; Li and Yu, 2021), multi-agent systems (Li et al ., 2021b; Liao et al ., 2016) and large-scale systems (Liao et al. , 2018; Li and Zhang, 2021).…”

An estimation method for sensor faults based on observer in interconnected systems

“…Currently, certain results have been obtained from research on the stability and control issues of interconnected systems [11][12][13][14][15][16][17][18][19][20][21], and references [16][17][18][19][20][21] focus on the control problems of various interconnected systems such as power, and explore the decentralized control, robust control, optimal control, active control, and adaptive backstepping control problems of interconnected systems. Today, fault estimation and diagnosis methods for interconnected and complex systems are hot research topics.…”