| Dual switching positive system is a kind of special hybrid system used in network control,communication system,medicine,chemical industry,aircraft control and other fields.Because its system state is strictly constrained in non-negative space,it is also controlled by random switching signal and determination It has a very wide practical application background and has important research significance in the actual engineering control field.At present,scholars’ research on the double-switched positive system is mainly in the aspect of stability analysis,and the controller design is rarely seen.Therefore,this topic is a strong expansion of the stability and control synthesis of the double-switched system.Works as follows:1.For the continuous Dual switching positive linear system,the principle of energy decay and the average dwell time method are used to obtain the conditions that can make the system exponential almost everywhere;Almost everywhere in the state feedback stabilization problem in the sense of stability,the sufficiency criterion for the existence of feasible solutions to the feedback controller design problem is obtained,and numerical examples are used to verify the validity of the selected switching rules and the obtained theorems.2.For the continuous Dual switching positive linear system with uncertain parameters,using the principle of energy decay,on the basis of the pre-designed switching rules,the sufficient conditions for the stability of the robust exponential almost sure stability of this type of system are obtained.On the basis of the former,The comprehensive design of switching rules and output feedback controller is carried out.Sufficient conditions are obtained for a system with bounded uncertainties to be robust exponential almost sure stability.Numerical examples are used to verify the validity of the selected switching rules and the theorems obtained. |
