| As a dominant factor,the transition rates/probabilities in the jumping process determine the system behavior to a large extent.However,it is difficult or no necessary to get the whole information of transition rates/probabilities in real Markovian jump systems,which leads to hot research for the Markovian jump systems with partly unknown transition rates/probabilities in recent years.Meanwhile,due to the limitation of periodic sampling,the survey of aperiodic sampling control has become a hot topic.In this paper,based on incomplete transition rates,the extended dissipativity is taken as the performance index for the continuous time fuzzy Markovian jump systems,and the problems of sampling control and actuator saturation are further discussed.The concrete contents are as follows:1.For the fuzzy Markovian jump systems with incomplete transition rates,the topic of dissipativity-based sampled-data control is addressed.First,by making full use of the information in the sampling interval,a two-sided loop-based Lyapunov functional is constructed.Then,with the addition of free-weighting matrices approach and improved integral inequality technique,sufficient conditions are obtained to ensure that the considered systems are stochastically stable and strictly（（48）,（50）,（49））-γdissipative,respectively.Furthermore,the corresponding mode-dependent sampled-data controller is also designed.Finally,a simulation example is offered to verify the feasibility of the results.2.For the fuzzy Markovian jump systems with incomplete transition rates,the topic of extended dissipative analysis and non-fragile sampled-data control are discussed,where the extended dissipative analysis unifies the 2L-L∞,H∞,passivity,（（48）,（50）,（49））-γdissiptivity performance in a framework.First,by making the best of the information in the sampling interval,an appropriate two-side looped functional dependent sampling interval is constructed.Then,with the addition of free-weighting matrices approach and improved integral inequality technique,sufficient conditions are obtained to ensure the considered systems are stochastically stable and extended dissipative,respectively.Furthermore,the corresponding two form of non-fragile mode-dependent sampled-data controllers are also designed.Finally,a simulation example is offered to verify the feasibility of the results.3.For the fuzzy Markovian jump systems with incomplete transition rates,the topic of sampled-data based dissipativity control under actuator saturation is addressed.First of all,by constructing an appropriate two-sided looped functional that captures the realistic information of sampling pattern,together with the free-matrix-based inequality approach,a sufficient condition is developed to ensure the considered systems to be strictly（（48）,（50）,（49））-γdissipative.Then,the corresponding mode-dependent sampled-data controllers are designed based on the given dissipativity condition.As a corollary,the controller design is presented for the system without disturbance.Furthermore,an optimization problem is investigated in order to maximize the domain of the attraction.Finally,simulation examples are offered to verify the feasibility of the results. |
