Controller Design Of Singular Markov Jump System Via Quantizing Approach

Singular systems are a type of power system that are more extensive than normal sys-tems.The theory of singular systems is 20th an independent branch of modern control theory that began to form and gradually developed in the 1970s.Singular System Model type exists in many fields of social production,for example,power systems,economic systems,robot systems,electronics network and aerospace systems.In the actual application process,some industrial systems may present the status quo at different stages of production.A sudden change of state or a sudden failure of some part of the system,however,such a dynamic sys-tem can be described by Markov jump system precisely.This article focuses on the control of the singular Markov jump system.The paper constructs appropriate Lyapunov functions,applies related lemmas,quanti-fies principles,and linear matrix inequality,convex optimization methods.We have studied the problem of the control for a singular Markov jump system with time-varying transition probability matrices.First,finite time dissipation problem for singular Markov jump systems with input sat-uration has been investigated.With quantitative methods,convex optimization methods and linear matrix inequality methods,sufficient conditions that ensure the system singular stochastic finite-time admissible and singular stochastic finite-time dissipative admissible have been obtained.Secondly,design an output feedback controller,finite-time control problems for singular Markov jump systems with time-varying delay has been studied.Using the new Lyapunov function,integration inequalities,the suff-icient conditions for the finite-time bounded have been obtained.Finally,design an observer,mixed H? and passive control problems for singular Markov jump system with time-varying transition probability matrix has been researched.On the basis of the principle of quantification,and the corresponding observer and state feedback controller have been obtained.