From 0105f2746c6dd8c3617f93fd3281f7e2708cae76 Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Wed, 24 May 2023 16:29:40 +0200
Subject: Take deliverables for from LQR to MPC from yuanxu

According to table 7 that is

  - lqr_maxPI
  - traj_cost
  - MPC
  - MPC/eval (contained in MPC.m)
---
 templates/MPC.m | 44 +++++++++++++++++++++++++++++++++++---------
 1 file changed, 35 insertions(+), 9 deletions(-)

(limited to 'templates/MPC.m')

diff --git a/templates/MPC.m b/templates/MPC.m
index 3e9d2f1..355eb81 100644
--- a/templates/MPC.m
+++ b/templates/MPC.m
@@ -15,31 +15,57 @@ classdef MPC
         function obj = MPC(Q,R,N,params)
             nu = params.model.nu;
             nx = params.model.nx;
-
-            % define optimization variables
+            % YOUR CODE HERE
+            A=params.model.A;
+            B=params.model.B;
             U = sdpvar(repmat(nu,1,N),ones(1,N),'full');
+            X = sdpvar(repmat(nx,1,N+1),ones(1,N+1),'full');
+
+            [K,P,~] = dlqr(A,B,Q,R);
+
+%             s_max=params.constraints.MaxAbsPositionXZ;
+%             y_max=params.constraints.MaxAbsPositionY;
+%             u_max = params.constraints.MaxAbsThrust;
+            H_x = params.constraints.StateMatrix;
+            h_x = params.constraints.StateRHS;
+            H_u = params.constraints.InputMatrix;
+            h_u = params.constraints.InputRHS;
             X0 = sdpvar(nx,1,'full');
+            objective = 0;
+            constraints = X{1} == X0;
+            for k = 1:N
+                constraints = [ ...
+                    constraints, ...
+                    X{k+1} == A*X{k} + B*U{k} , ...
+                    H_x * X{k} <= h_x, ...
+                    H_u * U{k} <= h_u ...
+                ];
 
-            % YOUR CODE HERE
-            
+                objective = objective + X{k}'*Q*X{k} + U{k}'*R*U{k};
+            end
+            objective=objective+X{N+1}'*P*X{N+1};
+            % terminal constraint
+%             constraints = [ ...
+%                 constraints, ...
+%                 X{N+1} == zeros(nx,1)
+%             ];
             opts = sdpsettings('verbose',1,'solver','quadprog');
             obj.yalmip_optimizer = optimizer(constraints,objective,opts,X0,{U{1} objective});
         end
 
         function [u, ctrl_info] = eval(obj,x)
-            %% evaluate control action by solving MPC problem, e.g.
+            % evaluate control action by solving MPC problem
             tic;
-            [optimizer_out,errorcode] = obj.yalmip_optimizer(x);
+            [optimizer_out,errorcode,~] = obj.yalmip_optimizer{x};
             solvetime = toc;
-            
+
             [u, objective] = optimizer_out{:};
 
             feasible = true;
             if (errorcode ~= 0)
                 feasible = false;
             end
-
             ctrl_info = struct('ctrl_feas',feasible,'objective',objective,'solvetime',solvetime);
         end
     end
-end
\ No newline at end of file
+end
-- 
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