annotate m-toolbox/classes/@ssm/settlingTime.m @ 0:f0afece42f48

Import.
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Wed, 23 Nov 2011 19:22:13 +0100
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Daniele Nicolodi <nicolodi@science.unitn.it>
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1 % SETTLINGTIME retunrns 1% the settling time of the system.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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3 %
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4 % DESCRIPTION: SETTLINGTIME retunrns 1% the settling time of the system.
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5 % It is a worst scenario assumption were all variable are
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6 % used.
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7 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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8 % CALL: time = modifyTimeStep(sys,options)
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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10 % INPUTS:
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11 % sys - (array of) ssm objects
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12 % options - A plist or numeric value giving new timestep value (param name 'newtimestep')
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13 %
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14 % OUTPUTS:
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15 % sys - (array of) ssm
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16 %
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17 % <a href="matlab:utils.helper.displayMethodInfo('ssm', 'settlingTime')">Parameters Description</a>
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18 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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19 % VERSION: $Id: settlingTime.m,v 1.4 2011/04/08 08:56:22 hewitson Exp $
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20 %
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21 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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22
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23 function varargout = settlingTime(varargin)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 %% starting initial checks
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25
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 % Check if this is a call for parameters
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 if utils.helper.isinfocall(varargin{:})
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28 varargout{1} = getInfo(varargin{3});
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29 return
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30 end
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31
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32 utils.helper.msg(utils.const.msg.MNAME, ['running ', mfilename]);
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33
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34 % Collect input variable names
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 in_names = cell(size(varargin));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 for ii = 1:nargin,in_names{ii} = inputname(ii);end
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37
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % Collect all SSMs and plists
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39 sys = utils.helper.collect_objects(varargin(:), 'ssm', in_names);
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40
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41 %% begin function body
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42 if ~ numel(sys)==1
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43 error('settlingTime take only one input ssm object')
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44 end
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45
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46 %% building output depending on options
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 if ~sys.isnumerical
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48 error(['error in settlingTime because system "',sys.name, '" should be numerical to find settling time' ]);
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49 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 % retriveing system infos
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 Ts = sys.timestep;
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52 if Ts == 0
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53 sys.modifyTimeStep(0.001)
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54 Ts = 0.001;
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55 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 A = double(sys);
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57 % initializing calculus
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 tSettling = Ts;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 k=1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60 Xini = ones(size(A,2), 1);
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61 if numel(Xini)>0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 % iteration to observe decay
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 while max(abs(Xini)>0.01) && Ts<1e10
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64 k = k+1;
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65 tSettling = tSettling + Ts;
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66 Xini = A*Xini;
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67 % multiply timeStep by 2 after 20 iterations
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68 if k==20
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69 k=1;
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70 A = A*A;
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71 Ts = 2*Ts;
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72 end
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73 end
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74 else
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75 tSettling = 0;
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76 end
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77 varargout{1} = plist('settling_time', tSettling);
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78 end
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79
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80
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81 %--------------------------------------------------------------------------
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82 % Get Info Object
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83 %--------------------------------------------------------------------------
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84 function ii = getInfo(varargin)
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85
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86 if nargin == 1 && strcmpi(varargin{1}, 'None')
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 sets = {};
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88 pl = [];
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89 else
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90 sets = {'Default'};
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91 pl = getDefaultPlist;
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92 end
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93 % Build info object
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94 ii = minfo(mfilename, 'ssm', 'ltpda', utils.const.categories.output, '$Id: settlingTime.m,v 1.4 2011/04/08 08:56:22 hewitson Exp $', sets, pl);
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95 end
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96
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97 %--------------------------------------------------------------------------
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98 % Get Default Plist
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99 %--------------------------------------------------------------------------
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100 function pl = getDefaultPlist()
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101 pl = plist();
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102
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103 p = param({'discretize', 'The timestep used for a time-discrete system'}, 0.001 );
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104 pl.append(p);
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105 end