Discrete-Time Systems comprehend an important and broad research field. The consolidation of digital-based computational means in the present, pushes a technological tool into the field with a tremendous impact in areas like Control, Signal Processing, Communications, System Modelling and related Applications. This book attempts to give a scope in the wide area of Discrete-Time Systems. Their contents are grouped conveniently in sections according to significant areas, namely Filtering, Fixed and Adaptive Control Systems, Stability Problems and Miscellaneous Applications. We think that the contribution of the book enlarges the field of the Discrete-Time Systems with signification in the present state-of-the-art. Despite the vertiginous advance in the field, we also believe that the topics described here allow us also to look through some main tendencies in the next years in the research area.
: In this paper we study the stochastic optimal (LQG) tracking problems with preview for a class of linear continuous-time Markovian jump systems. The systems are described as continuous-time switching systems with Markovian mode transitions. Necessary and sufficient conditions for the solvability of our LQG tracking problems are given by coupled Riccati differential equations and coupled scalar differential equations with terminal conditions. Correspondingly feedforward compensators introducing future information are given by coupled differential equations with terminal conditions. We consider three different tracking problems depending on the property of the reference signals. Finally we give numerical examples and verify the effectiveness of our design method.
In order to design tracking control systems for a class of systems with rapid or abrupt changes, it is effective in improving tracking performance to construct preview control systems considering future information of reference signals. In this paper we study the optimal tracking problems with preview for a class of linear continuous-time Markovian jump systems. Our systems are described by the switching systems with Markovian mode transition. The necessary and sufficient conditions for the solvability of our LQ tracking problem are given by coupled Riccati differential equations with terminal conditions. Correspondingly feedforward compensators introducing future information are given by coupled differential equations with terminal conditions. We consider three different tracking problems depending on the property of the reference signals. Finally we give numerical examples.
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