The invention relates to a design method for sensitive restraint layer damping plate structural 
modal state observer, and belongs to the technical field of 
modal control. The design method includes the following steps: S1, establishing a structural dynamical model of a sensitive restraint layer damping plate structure; S2, writing out a state equation of a 
system, and performing combination and 
dimensionality reduction on a 
physical space and a 
state space; S3, achieving mapping from a complex number space to a real number space to obtain a lower dimension real 
modal control model; S4, selecting a main 
control mode of a 
research object through the modal rate of contribution; S5, determining the structure of the sensitive restraint layer damping plate structural modal 
state observer; and S6, solving a feedback 
gain matrix of the sensitive restraint layer damping plate structural modal 
state observer through a pole assignment method. The method can be applied to design of the sensitive restraint layer damping plate 
structural vibration modal state observer, can observe modal 
state variation of the sensitive restraint layer damping plate structure during vibration, is simple in principle, is easy to implement, and has high application value.