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The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
This paper deals with the problem of reliable control against controller failure for a class of uncertain discrete time systems with both state and input delay. The considered system is modeled as uncertain discrete switched system with stable and unstable subsystem. Based on average dwell time method, the sufficient conditions of exponential stability for system are given in terms of linear matrix...
A Boolean network is a logical dynamic system, which has been used to describe cellular networks. Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete time...
In this paper, a novel class of robust state-space realizations, called normal realizations, is derived for reducing roundoff noise and self-sustained oscillations which ultimately can not be avoided in real-time applications. It is shown that these realizations are free of limit cycles. Another interesting property of the normal realizations is that they yield a minimal error propagation gain. This...
In this paper, advanced engineering methods for modeling and discrete-time control of distributed parameter systems are presented. The dynamics of these systems is modeled by means of numerical structures defined on complex-shape 3D definition domains, similarly to a vast majority of engineering analysis and software simulation tools, which are heavily utilized among the engineering community for...
Presents two reaching laws of sliding mode for discrete-time variable structure control systems to solve the problem in designing the system control input. Considering the system control input is restricted, the reaching laws proposed in this paper adopt the approach angle and the distance to the sliding surface to regulate the system control input properly. By applying the proposed reaching laws...
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