Applying multi-objective integrated optimization better to structural topology and control of piezoelectric smart truss using interval parameters

Aim: The introduction of the full paper reviews some papers in the open literature and then proposes the research mentioned in the title. Sections 1 through 4 explain our application. The core of sections 1, 2 and 3 consists of: (1)through Taylor expansion and interval extension of function, the interval values of the objective functions and the constraint functions can be obtained; (2) based on interval possibility degree, the integrated optimization mathematical model with stress and voltage constraints of piezoelectric smart truss is constructed; the upper bound of the structure weight and that of the quadratic objective function are taken as objective functions; the cross sectional areas of bars, nodal topological information, actuator placement, the number of actuators and control gain are regarded as design variables; (3) the Pareto CMOPGA (genetic algorithm for constrained multi-objective optimization problem) on the basis of individual ranking is adopted to solve the constraint multi- objective optimization problem. Section 4 gives a numerical example, whose results are presented in Figs. 5, 6 and 7 and Tables 1 and 2. On the basis of the results of the numerical example, section 5 gives four preliminary conclusions.