Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays

In this study, the challenges of the controller design of a class of Uncertain Switched Neutral Systems (USNSs) in the presence of discrete, neutral, and time-varying delays are considered by using a robust observer-based control technique. The cases where the uncertainties are normbounded and time-varying are emphasized in this research. The adopted control approach reduces the prescribed level of disturbance input on the controlled output in the closed-loop form and the robust exponential stability of the control system. The challenge of parametric uncertainty in USNSs is solved by designing a robust output observer-based control and applying the Yakubovich lemma. Since the separation principle does not generally hold in this research, the controller and observer cannot be designed separately, sufficient conditions are suggested. These conditions are composed of applying the average dwell time approach and piecewise Lyapunov function technique in terms of linear matrix inequalities, which guarantees robust exponential stability of the observer-based output controller. Finally, two examples are given to determine the effectiveness of the proposed method.

Sampled-data control for switched neutral systems with quantization input under asynchronous switching

This paper is concerned with sampled-data control for switched neutral systems with quantization input under asynchronous switching. By combining the multiple function method and the average dwell time technique, a lemma gives input-to-state stability conditions for switched nonlinear neutral systems. Considering the relationship between the sampling periods and minimal dwell time of two switching instants, sampled-data control is extended into the input-to-state stability of switched neutral systems under asynchronous switching. The sector bound approach is used to analyse quantization phenomena. For switched linear neutral systems with nonlinear perturbations and quantization input, linear matrix inequality conditions are given to guarantee input-to-state stability. Then, a sampled-data based controller with transmission delays is designed. In the end, the effectiveness of the results is illustrated by a simulation example about the management of forests.

Nonfragile Finite-Time Extended Dissipative Control for a Class of Uncertain Switched Neutral Systems

This paper is concerned with finite-time extended dissipative analysis and nonfragile control for a class of uncertain switched neutral systems with time delay, and the controller is assumed to have either additive or multiplicative form. By employing the average dwell-time and linear matrix inequality technique, sufficient conditions for finite-time boundedness of the switched neutral system are provided. Then finite-time extended dissipative performance for the switched neutral system is addressed, where we can solve H∞, L2-L∞, Passivity, and (Q,S,R)-dissipativity performance in a unified framework based on the concept of extended dissipative. Furthermore, nonfragile state feedback controllers are proposed to guarantee that the closed-loop system is finite-time bounded with extended dissipative performance. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method.