چكيده به لاتين
Markovian Jump Linear Systems, are a special class of hybrid systems with different operating modes, in which transition between modes is done based on a markov process. Considering the fact that, sensor signals are always applied to controller in digital format, which means that system output is quantized before being sent out, this thesis has investigated stability and stabilization of markovian jump linear systems with quantized output. Also, in order to make system more practical, state-delay is considered in system model and it is assumed that the information relevant to markovian switching signal is incomplete.
First, using a linear quantizer, system states are quantized. Then, under consideration of these states, a new criterion for stability is proposed based on Lyapunov-Krasowskii Functionals. System stabilization is achieved by a state-feedback controller in the framework of linear matrix inequalities. Finally, effectiveness and performance of proposed approach is demonstrated by numerical and practical examples.
Keywords: Markovian Switching Systems, State-Delay, Quantized Output, Stochastic Stability, Linear Matrix Inequality
