A security issue in the stability analysis problem is investigated for cyber‐physical systems (CPSs) in this paper. A stability guaranteed self‐triggered scheme is proposed to actively defend the denial‐of‐service (DoS) attacks and reduce unnecessary data communications in delta domain. In the self‐triggered scheme, a predictive agent is designed, in which the stability of the CPS is considered. A transmit instant is confirmed based on the packets dropout caused by the DoS attacks and the time‐varying delays in the communication channel. Furthermore, a sufficient condition in view of linear matrix inequalities (LMIs) is derived for stability of the CPS under DoS attacks. Numerical simulations are presented to illustrate the validity of the scheme.
In this paper, output regulation for linear delta operator systems subject to actuator saturation is investigated by state feedback. The relation between the regulatable regions and the null controllable region is described in this paper. A set of all initial conditions of a plant and a exosystem is called asymptotically regulatable region for which output regulation is possible. An asymptotically regulatable region is characterized according to a null controllable region of an anti-stable subsystem of the plant. Feedback laws are constructed to solve the problems on output regulation. A numerical example is given to illustrate the effectiveness and potential for the developed techniques. . Notation: In the sequel, if not explicitly stated, matrices are assumed to have compatible dimensions. Throughout this paper, R n denotes the n-dimensional Euclidean space; L denotes the level of saturation. Z C denotes positive integers. The symmetric terms in a symmetric matrix are denoted by an astersik ( ). We use sat ( ) to denote a standard saturation function of appropriate dimension.
1045Proposition 1 If conditions A1 and A2 in Assumption 1 hold, then the problem of output regulation by state feedback is solvable if and only if there exist matrices … and solving the following linear matrix equations which is a subclass case for the delta operator systems (16)-(17).
Remark 2Letting A C I and S C I be state matrixes for the traditional discrete systems (40)-(41), some discrete-time results, which are similar with condition (43), have been given in [25]. It is obvious
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