Matlab优化工具箱课件

1、第09章Matlab优化工具箱2022/7/31第09章Matlab优化工具箱ContentsWhat Is the Optimization Toolbox?Linear ProgrammingBinary Integer ProgrammingQuadratic ProgrammingLinear SearchUnconstrained OptimizationConstrained Nonlinear ProgrammingMultiobjective programmingMinmax problemNonlinear equations solvingLeast squares pr

2、oblem第09章Matlab优化工具箱What Is the Optimization Toolbox?The Optimization Toolbox is a collection of functions that extend the capability of the MATLAB numeric computing environment. The toolbox includes routines for many types of optimization including:Unconstrained nonlinear minimizationConstrained no

3、nlinear minimization, including goal attainment problems, minimax problems, and semi-infinite minimization problems Quadratic and linear programming Nonlinear least squares and curve-fitting Nonlinear system of equation solving Constrained linear least squares Sparse and structured large-scale probl

4、ems 第09章Matlab优化工具箱Useful functions(1)第09章Matlab优化工具箱Useful functions(2)第09章Matlab优化工具箱Useful functions(3)第09章Matlab优化工具箱Linear Programming(1)第09章Matlab优化工具箱Linear Programming(2)第09章Matlab优化工具箱Binary Integer Programming(1)第09章Matlab优化工具箱Binary Integer Programming(2)第09章Matlab优化工具箱Quadratic Programmi

5、ng(1)第09章Matlab优化工具箱Quadratic Programming(2)第09章Matlab优化工具箱Quadratic Programming(3)第09章Matlab优化工具箱Linear Search(1)第09章Matlab优化工具箱Linear Search(2)第09章Matlab优化工具箱Unconstrained Optimization(1)第09章Matlab优化工具箱Unconstrained Optimization(2)第09章Matlab优化工具箱Unconstrained Optimization(3)第09章Matlab优化工具箱Unconstr

6、ained Optimization(4)第09章Matlab优化工具箱Constrained Nonlinear Programming(1)第09章Matlab优化工具箱Constrained Nonlinear Programming(2)第09章Matlab优化工具箱Constrained Nonlinear Programming(3)两种求解方法：直接利用目标函数与约束函数信息利用梯度信息第09章Matlab优化工具箱Constrained Nonlinear Programming(4)第09章Matlab优化工具箱Constrained Nonlinear Programmin

7、g(5)第09章Matlab优化工具箱Constrained Nonlinear Programming(6)第09章Matlab优化工具箱Multiobjective programming(1)Ideal Point method and weighted quadratic sum methodSolving a least square problem with function “lsqlin” or “lsqnonlin”Weighted linear sum methodSolving with function “fgoalabtain”Min-max methodSolvin

8、g a minmax problem with function “fminmax”第09章Matlab优化工具箱Multiobjective programming(2)第09章Matlab优化工具箱Multiobjective programming(3)第09章Matlab优化工具箱Multiobjective programming(4)Solve each single objective optimization problem individually to get the parameter “goal “;Solve the multiobjective programmin

9、g problem by using fgoalabtain.第09章Matlab优化工具箱Multiobjective programming(5)第09章Matlab优化工具箱Minmax problem(1)第09章Matlab优化工具箱Minmax problem(2)第09章Matlab优化工具箱Minmax problem(3)第09章Matlab优化工具箱Nonlinear equations solving(1)第09章Matlab优化工具箱Nonlinear equations solving(2)第09章Matlab优化工具箱Nonlinear equations solving(3)第09章Matlab优化工具箱Nonlinear equations solving(4)第09章Matl