Merge pull request #1 from YanzhenXiangRobotics/submissionHEADmaster

Submission

1 files changed, 83 insertions, 0 deletions

diff --git a/Submission files/MPC_TUBE.m b/Submission files/MPC_TUBE.m
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+++ b/Submission files/MPC_TUBE.m
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Copyright (c) 2023, Amon Lahr, Simon Muntwiler, Antoine Leeman & Fabian Flürenbrock Institute for Dynamic Systems and Control, ETH Zurich.
+%
+% All rights reserved.
+%
+% Please see the LICENSE file that has been included as part of this package.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+classdef MPC_TUBE
+    properties
+        yalmip_optimizer
+        K_tube
+    end
+
+    methods
+        function obj = MPC_TUBE(Q,R,N,H_N,h_N,H_tube,h_tube,K_tube,params)
+            obj.K_tube = K_tube;
+    
+            % YOUR CODE HERE
+            nx = params.model.nx;
+            nu = params.model.nu;
+
+            A = params.model.A;
+            B = params.model.B;
+
+            [~,P,~] = dlqr(A,B,Q,R);
+
+            V = sdpvar(repmat(nu,1,N),ones(1,N),'full');
+            Z = sdpvar(repmat(nx,1,N+1),ones(1,N+1),'full');
+
+            H_x = params.constraints.StateMatrix;
+            h_x = params.constraints.StateRHS;
+            H_u = params.constraints.InputMatrix;
+            h_u = params.constraints.InputRHS;
+
+            P_x_tightened = Polyhedron('A',H_x,'b',h_x).minus(Polyhedron('A',H_tube,'b',h_tube));
+            H_z = P_x_tightened.A;
+            h_z = P_x_tightened.b;
+
+            P_u_tightened = Polyhedron('A',H_u,'b',h_u).minus(K_tube*Polyhedron('A',H_tube,'b',h_tube));
+            H_v = P_u_tightened.A;
+            h_v = P_u_tightened.b;
+
+            X0 = sdpvar(nx,1,'full');
+            constraints = [H_tube*(X0-Z{1}) <= h_tube];
+            objective = 0;
+            for k = 1:N
+                constraints = [ ...
+                    constraints, ...
+                    Z{k+1} == A*Z{k} + B*V{k} , ...
+%                     H_z * Z{k} <= h_z, ...
+%                     H_v * V{k} <= h_v ...
+                    H_x * Z{k} <= h_x, ...
+                    H_u * V{k} <= h_u ...
+                ];
+                objective = objective + Z{k}'*Q*Z{k} + V{k}'*R*V{k};
+            end
+            constraints = [constraints, H_N * Z{end} <= h_N];
+            objective = objective + Z{end}'*P*Z{end};
+
+            opts = sdpsettings('verbose',1,'solver','quadprog');
+            obj.yalmip_optimizer = optimizer(constraints,objective,opts,X0,{V{1} Z{1} objective});
+        end
+
+        function [u, ctrl_info] = eval(obj,x)
+            %% evaluate control action by solving MPC problem, e.g.
+            tic;
+            [optimizer_out,errorcode] = obj.yalmip_optimizer(x);
+            solvetime = toc;
+            % YOUR CODE HERE
+            [v0, z0, objective] = optimizer_out{:};
+            u = obj.K_tube*(x-z0)+v0;
+
+
+            feasible = true;
+            if (errorcode ~= 0)
+                feasible = false;
+            end
+
+            ctrl_info = struct('ctrl_feas',feasible,'objective',objective,'solvetime',solvetime);
+        end
+    end
+end
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