Observer-based bumpless switching control for switched linear systems with sensor faults

Abstract

This paper investigates the bumpless transfer problem of switched linear systems with sensor faults. The framework of the switched control systems includes two kinds of controllers, one is for normal use and the other is for fault-tolerant control when sensor faults have occurred. Considering that the information of the sensor faults is unknown to the controller, an observer is designed for the fault-tolerant controller. Moreover, in view of the issue that the output difference between the online and offline controllers may induce undesired oscillations in control input at the switching instant, a bumpless transfer compensator is presented based on sliding mode control. Due to the reasonably designed compensator, the difference can be minimized to a small value to guarantee smooth transitions of the control input when sensor faults have occurred. Finally, numerical simulations verify the effectiveness of the proposed method.

Asynchronous H∞ filtering fault detection for discrete-time switched linear systems

“…In the past few years, the FD problem of switched systems has been of considerable interest (Koenig et al, 2016;Li et al, 2017a;Qi and Hu, 2018). For FD problems of switched systems, firstly, it is necessary to construct a series of modedependent FD filters, which are augmented with the original systems and fault signals to obtain a residual evaluation system, and find an admissible switching signal so that the augmented system can be stable and satisfy a certain performance.…”

Model-based sensor fault detection, isolation and tolerant control for a mine hoist

“…Theorem 2: Consider the mine hoist driven subsystem (20), apply control law ( 23), ( 27) and ( 36), with low-pass filter (24), (31), and adaptive law ( 28), (40). Then, all signals in the speed closed loop control subsystem are uniformly ultimately bounded (UUB), and the rotating speed tracking errors converge to a small neighborhood of the origin.…”

“…34 and 35. However, although the stability of the control system during sensor switching process has been thoroughly studied, 36,37 the dynamic characteristics of the system during sensor switching process must also be taken seriously, [38][39][40] or it may cause high frequency oscillations in the hoist system. 41 Motivated by above analysis, in this paper, we have proposed a novel nonlinear sensor fault detection, isolation and tolerant control strategy for a mine hoist.…”

Stability and L2–Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

“…Switched systems, as a typical class of hybrid systems (Liberzon, 2003), consist of a finite number of continuous-time (or discrete-time) subsystems and a logical rule orchestrating the switching between them. In recent years, due to their broad applications in (Branicky, 1998; Gomez-Gutierrez et al, 2015; Johansson, 2005; Margalioat, 2006; Parriaux, 2013; Qi and Hu, 2018), switched systems have aroused general concern. At the same time, singular systems are also known as generalized state-space systems, which could provide convenient and natural representations in the description of circuit systems (Newcomb, 1989), power systems (Mills, 1989), economic systems, and so on.…”