Switched System Approach Research Articles

Stabilization of Sampled-Data Control Systems With Control Inputs Missing

This note is concerned with the stabilization problem for sampled-data control systems with control inputs missing. A sufficient condition is derived for the existence of exponentially stabilizing state feedback controllers via the switched system approach. The obtained condition establishes several quantitative relations among some system parameters (such as the sampling period and the exponential decay rate), the actual data missing rate, and the admissible data missing rate bound. Two illustrative examples are given to show the effectiveness of the proposed results.

Output feedback stabilisation of networked control systems via switched system approach

Output feedback stabilisation problem of networked control systems with bounded packet loss is addressed. Sufficient conditions for output feedback stabilisation are derived by using a packet-loss-dependent Lyapunov function. Different from existing results, we present a design for packet-loss-dependent output feedback controllers for two types of packet-loss processes: one is a arbitrary packet-loss process, and the other is a Markovian packet-loss process. Several numerical examples and simulations are worked out to demonstrate the effectiveness of the proposed design techniques.

Delay‐dependent H∞ control of linear discrete‐time systems with time‐varying delay via switched system approach

AbstractThis paper deals with the problem of H∞ control of linear discrete‐time systems with time‐varying delay. In order to highlight the relations between all combinations of delayed states, a general Lyapunov–Krasovskii functional is introduced, from which the relation between the switched system transformation and the classical Lyapunov–Krasovskii method is established. The basic idea is to formulate the original time‐delay systems as switched systems with arbitrary switching. Therefore, the stability and the H∞ performance problems can be reduced to the corresponding problems of such switched systems. This fact bridges two distinct research fields. Finally, numerical examples are given to illustrate the effectiveness of the method and its advantage over existing results. Copyright © 2009 John Wiley & Sons, Ltd.

Fault Tolerant Control of Networked Control Systems: time-delay switched system approach

This paper studies the Fault Tolerant Control (FTC) of Networked Control Systems (NCSs) with network-induced delay, packet dropout and actuator faults using time-delay switched system approach. First, modelling such NCS as a discrete-time switched system with control input time-delay, the FTC of such NCS can be reduced to that of switched systems with control input-delay. Then, we can apply the rich theory of time-delay switched system to study NCS. Sufficient conditions for the stabilisation of such NCS are presented. Stabilising switched output feedback controllers can be designed by solving a set of Linear Matrix Inequalities (LMIs), which can be easily tested with efficient LMI algorithms. Finally, an example is given to illustrate our results.

Asymptotical stabilisability of networked control systems: time-delay switched system approach

The authors focus on investigating the asymptotical stabilisability of networked control systems (NCSs) with communication constraints. The basic idea is to model such NCSs as a discrete-time-switched system with control input time-delay. Thus, the asymptotical stabilisability of such NCSs can be reduced to that of time-delay-switched systems. Sufficient conditions are presented about the stabilisation of NCSs. Stabilising switched state/output feedback controllers can be constructed by solving a set of linear matrix inequalities (LMIs), which can be easily tested with effficient LMI algorithms. The advantage is that the behaviour of NCSs can be studied by considering time-delay-switched systems without augmenting the system dimension. The results complement those of Lin et al. about asymptotical stabilisation of NCSs. A numerical example is given to illustrate the results.

A switched system approach to stabilization of networked control systems

A switched system approach is proposed to model networked control systems (NCSs) with communication constraints. This enables us to apply the rich theory of switched systems to analyzing such NCSs. Sufficient conditions are presented on the stabilization of NCSs. Stabilizing state/output feedback controllers can be constructed by using the feasible solutions of some linear matrix inequalities (LMIs). The merit of our proposed approach is that the behavior of the NCSs can be studied by considering switched system without augmenting the system. A simulation example is worked out to illustrate the effectiveness of the proposed approach.

Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach

In this paper, both the asymptotic stability and l ∞ persistent disturbance attenuation issues are investigated for a class of networked control systems (NCSs) under bounded uncertain access delay and packet dropout effects. The basic idea is to formulate such NCSs as discrete-time switched systems with arbitrary switching. Then the NCSs' stability and performance problems can be reduced to the corresponding problems of such switched systems. The asymptotic stability problem is considered first, and a necessary and sufficient condition is derived for the NCSs' asymptotic stability based on robust stability techniques. Secondly, the NCSs' l ∞ persistent disturbance attenuation properties are studied and an algorithm is introduced to calculate the l ∞ induced gain of the NCSs. The decidability issue of the algorithm is also discussed. A network controlled integrator system is used throughout the paper for illustration.

Output-feedback control of systems over communication networks using a deterministic switching system approach*1

This paper proposes a new control problem of systems over asymmetric path-delay configurations on arbitrary communication networks, where the criterion is the H ∞ norm minimization via dynamic output-feedback controllers. Network-delay-dependent switching controllers are designed via a piecewise Lyapunov function approach as well as a common Lyapunov function approach. The controllers are found through convex optimization over linear matrix inequalities.

Output-feedback [formula omitted] control of systems over communication networks using a deterministic switching system approach

This paper proposes a new control problem of systems over asymmetric path-delay configurations on arbitrary communication networks, where the criterion is the H ∞ norm minimization via dynamic output-feedback controllers. Network-delay-dependent switching controllers are designed via a piecewise Lyapunov function approach as well as a common Lyapunov function approach. The controllers are found through convex optimization over linear matrix inequalities.