Abstract
In this paper, we consider the problem for passivity analysis and passive control of uncertain discrete switched systems with interval time-varying delay and linear fractional perturbations via a simple switching signal design. A new Lyapunov-Krasovskii functional is used to propose some LMI conditions that design the switching signal to guarantee the passivity and passive switching control of discrete switched time-delay systems. Jensen and Park inequalities combined with delay-partitioning approach are investigated to improve the conservativeness of the obtained results. Finally, some numerical examples and a water quality model illustrate the main proposed results.
Highlights
The linear control systems and the complex or uncertain feedback systems can be bridged by the framework of switched linear systems [ ]
The switched system is an important class of hybrid systems, which consists of some subsystems and a switching signal
Switched systems are often encountered in many practical systems including automated highway systems, automotive engine control systems, chemical process, constrained robotics, mutlirate control, power systems and power electronics, robot manufacture, stepper motors, and water quality control [ – ]
Summary
The linear control systems and the complex or uncertain feedback systems can be bridged by the framework of switched linear systems [ ]. In [ ], a design of switching signal is proposed to ensure the stability and stabilization of discrete switched systems with interval time-varying delay. A simple design scheme for switching signal in passivity analysis and passive control is proposed for discrete switched systems with interval time-varying delay and linear fractional perturbations. ( ) The less conservative passivity analysis and passive switching control for discrete switched systems with linear fractional perturbations and interval time-varying delay via a switching signal design are considered. We define the state feedback switching control to achieve the stabilization and passivity for the switched system in ( a)-( h): u(k) = –Kix(k), when σ x(k) = i, where the state feedback gain Ki ∈ υ×n will be selected from our developed result. The delay upper bound and switching domains to guarantee the passivity property of systems
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
