A control scheme is developed to estimate and then restrain the unavailable disturbance input of switched systems (SSs), while ruling out the large and sudden jumps in the control input. The suppression on the unavailable disturbance and that on the oscillations in the control input are measured by $H_{\infty }$ anti-disturbance (AD) property and bumpless transfer (BT) property, respectively. Through construction of a switching rule, a disturbance observer together with a controller, a sufficient condition is obtained to ensure the $H_{\infty }$ AD property and the BT performance. At last, a verification of the developed control scheme is offered by adjusting the power voltage of a switched RLC circuit model.

Anti-Disturbance Bumpless Transfer Control for Switched Systems With its Application to Switched Circuit Model

Fault Detection for Switched Systems with All Modes Unstable based on Interval Observer

This brief is concerned with the problem of global fixed-time stabilization for a class of switched nonlinear systems in strict-feedback form. A novel time-varying scaling transformation is introduced to convert the original fixed-time stabilization problem into the asymptotic stabilization problem of transformed systems. Based on this, a new framework to address fixed-time state feedback for switched nonlinear systems is developed by employing the common Lyapunov function method and the adding a power integrator technique. It is proved that the proposed controller renders the states of the closed-loop system to zero in any prescribed finite time under arbitrary switchings. Finally, simulation results of a practical example are provided to confirm the efficacy of the proposed method.

Global Fixed-Time Stabilization of Switched Nonlinear Systems: A Time-Varying Scaling Transformation Approach

This paper is concerned with the $H_\infty $ control problem for switched systems under the event-triggered sampling, the quantization control and the state-dependent switching. The dynamic event-triggered strategy and the quantization control are utilized to adjust the signal transmission and relieve the transmission load. Different from the existing dynamic event-triggered strategies, the triggering condition only needs to be monitored at discrete time. Moreover, the state-dependent switching law is designed by using only the discrete state information. Under the event-triggered sampling, the quantization control and the state-dependent switching, sufficient conditions are proposed to guarantee the $H_\infty $ performance. A switched RLC system is utilized to verify the results in the simulation.

H∞ Control for Switched Systems Based on Dynamic Event-Triggered Strategy and Quantization Under State-Dependent Switching

When designing interval observers for switched systems, for simplicity, it is always assumed that the switching signal of interval observers is synchronised with one of subsystems. However, in fact, they are asynchronous in most cases. In this study, the interval observer design problem for discrete-time switched systems with asynchronous switching law is investigated. At first, a robust observer is designed based on the H
 ∞
 observer theory. Then, in order to reduce the conservatism of design conditions and improve the performance of the interval observer, the zonotope method is applied to estimate the bounds of system state. Finally, two examples are provided to highlight the efficiency of the proposed method.

https://ietresearch.onlinelibrary.wiley.com/doi/epdf/10.1049/iet-cta.2019.0750

Interval observer design method for asynchronous switched systems

This brief studies the stability of switched systems in which all the subsystems may be unstable. In addition, some of the switching behaviors of the systems are destabilizing. By using the piecewise Lyapunov function method and taking a tradeoff between the increasing scale and the decreasing scale of the Lyapunov function at switching times, the maximum dwell time for admissible switching signals is obtained and the extended stability results for switched systems in a nonlinear setting are first derived. Then, based on the discretized Lyapunov function method, the switching stabilization problem for linear context is solved. By contrasting with the contributions available in the literature, we do not require that all the switching behaviors of the switching system under consideration are stabilizing. More specifically, even if all the subsystems governing the continuous dynamics are not stable and some of the switching behaviors are destabilizing, the stability of the switched system can still be retained. A numerical example is given to illustrate the validity of the proposed results.

/pdf/conditions-for-the-stability-of-switched-systems-containing-1fjr9do2rb.pdf

Yue-E Wang

Papers

Conditions for the Stability of Switched Systems Containing Unstable Subsystems

Construction of hybrid interval observers for switched linear systems

Secure consensus of multiagent systems with DoS attacks via a graph-based approach