@@ -113,46 +113,50 @@ z(k + 1) ~ z′(k)
113113]
114114@named sys = ODESystem (eqs)
115115ss = structural_simplify (sys);
116- if VERSION >= v " 1.7"
117- prob = ODEProblem (ss, [x => 0.0 , y => 0.0 ], (0.0 , 1.0 ),
118- [kp => 1.0 ; z => 3.0 ; z (k + 1 ) => 2.0 ])
119- sol = solve (prob, Tsit5 (), kwargshandle = KeywordArgSilent)
120- # For all inputs in parameters, just initialize them to 0.0, and then set them
121- # in the callback.
122-
123- # kp is the only real parameter
124- function foo! (du, u, p, t)
125- x = u[1 ]
126- ud = p[2 ]
127- du[1 ] = - x + ud
128- end
129- function affect! (integrator, saved_values)
130- z_t, z = integrator. p[3 ], integrator. p[4 ]
131- yd = integrator. u[1 ]
132- kp = integrator. p[1 ]
133- r = 1.0
134- ud = kp * (r - yd) + z
135- integrator. p[2 ] = ud
136116
137- push! (saved_values. t, integrator. t)
138- push! (saved_values. saveval, [z_t, z])
117+ Tf = 1.0
118+ prob = ODEProblem (ss, [x => 0.0 , y => 0.0 ], (0.0 , Tf),
119+ [kp => 1.0 ; z => 3.0 ; z (k + 1 ) => 2.0 ])
120+ @test sort (prob. p) == [0 , 1.0 , 2.0 , 3.0 , 4.0 ] # yd, kp, z(k+1), z(k), ud
121+ sol = solve (prob, Tsit5 (), kwargshandle = KeywordArgSilent)
122+ # For all inputs in parameters, just initialize them to 0.0, and then set them
123+ # in the callback.
124+
125+ # kp is the only real parameter
126+ function foo! (du, u, p, t)
127+ x = u[1 ]
128+ ud = p[2 ]
129+ du[1 ] = - x + ud
130+ end
131+ function affect! (integrator, saved_values)
132+ z_t, z = integrator. p[3 ], integrator. p[4 ]
133+ yd = integrator. u[1 ]
134+ kp = integrator. p[1 ]
135+ r = 1.0
136+
137+ push! (saved_values. t, integrator. t)
138+ push! (saved_values. saveval, [z_t, z])
139139
140- # Update the discrete state
141- z_t, z = z + yd, z_t
142- integrator. p[3 ] = z_t
143- integrator. p[4 ] = z
144- nothing
145- end
146- saved_values = SavedValues (Float64, Vector{Float64})
147- cb = PeriodicCallback (Base. Fix2 (affect!, saved_values), 0.1 )
148- # kp ud z_t z
149- prob = ODEProblem (foo!, [0.0 ], (0.0 , 1.0 ), [1.0 , 4.0 , 3.0 , 2.0 ], callback = cb)
150- # ud initializes to kp * (r - yd) + z = 1 * (1 - 0) + 3 = 4
151- sol2 = solve (prob, Tsit5 ())
152- @test sol. u == sol2. u
153- @test saved_values. t == sol. prob. kwargs[:disc_saved_values ][1 ]. t
154- @test saved_values. saveval == sol. prob. kwargs[:disc_saved_values ][1 ]. saveval
140+ # Update the discrete state
141+ z_t, z = z + yd, z_t
142+ # @show z_t, z
143+ integrator. p[3 ] = z_t
144+ integrator. p[4 ] = z
145+
146+ ud = kp * (r - yd) + z
147+ integrator. p[2 ] = ud
148+
149+ nothing
155150end
151+ saved_values = SavedValues (Float64, Vector{Float64})
152+ cb = PeriodicCallback (Base. Fix2 (affect!, saved_values), 0.1 )
153+ # kp ud z_t z
154+ prob = ODEProblem (foo!, [0.0 ], (0.0 , Tf), [1.0 , 4.0 , 2.0 , 3.0 ], callback = cb)
155+ # ud initializes to kp * (r - yd) + z = 1 * (1 - 0) + 3 = 4
156+ sol2 = solve (prob, Tsit5 ())
157+ @test sol. u == sol2. u
158+ @test saved_values. t == sol. prob. kwargs[:disc_saved_values ][1 ]. t
159+ @test saved_values. saveval == sol. prob. kwargs[:disc_saved_values ][1 ]. saveval
156160
157161@info " Testing multi-rate hybrid system"
158162dt = 0.1
@@ -314,7 +318,7 @@ if VERSION >= v"1.7"
314318 prob = ODEProblem (foo!, [0.0 ], (0.0 , 1.0 ), [1.0 , 1.0 , 1.0 ], callback = cb)
315319 sol2 = solve (prob, Tsit5 ())
316320
317- @test sol. u ≈ sol2. u atol = 1e-6
321+ @test sol. u≈ sol2. u atol= 1e-6
318322end
319323
320324# #
@@ -341,10 +345,10 @@ k = ShiftIndex(d)
341345 y (t)
342346 end
343347 @equations begin
344- x (k + 1 ) ~ x (k) + ki * u
345- output. u ~ y
346- input. u ~ u
347- y ~ x (k) + kp * u
348+ x (k) ~ x (k - 1 ) + ki * u (k)
349+ output. u (k) ~ y (k)
350+ input. u (k) ~ u (k)
351+ y (k) ~ x (k - 1 ) + kp * u (k)
348352 end
349353end
350354
@@ -414,35 +418,55 @@ ci, varmap = infer_clocks(expand_connections(model))
414418
415419ssys = structural_simplify (model)
416420
417- timevec = 0 : (d. dt): 10
421+ Tf = 0.2
422+ timevec = 0 : (d. dt): Tf
418423
419424import ControlSystemsBase as CS
420425import ControlSystemsBase: c2d, tf, feedback, lsim
421- P = c2d (tf (0.3 , [1 , 1 ]), d. dt)
426+ # z = tf('z', d.dt)
427+ # P = c2d(tf(0.3, [1, 1]), d.dt)
428+ P = c2d (CS. ss ([- 1 ], [0.3 ], [1 ], 0 ), d. dt)
422429C = CS. ss ([1 ], [2 ], [1 ], [2 ], d. dt)
423430
424431# Test the output of the continuous partition
425432G = feedback (P * C)
426433res = lsim (G, (x, t) -> [0.5 ], timevec)
427434y = res. y[:]
428435
429- prob = ODEProblem (ssys,
430- [model. plant. x => 0.0 ],
431- (0.0 , 10.0 ),
432- [model. controller. kp => 2.0 ; model. controller. ki => 2.0 ])
433-
434- @test prob. p[9 ] == 1 # constant output * kp issue https://github.com/SciML/ModelingToolkit.jl/issues/2356
435- sol = solve (prob, Tsit5 (), kwargshandle = KeywordArgSilent)
436- # plot([sol(timevec .+ 1e-12, idxs=model.plant.output.u) y])
437-
438- # #
439-
440- @test sol (timevec, idxs = model. plant. output. u)≈ y rtol= 1e-8 # The output of the continuous partition is delayed exactly one sample
441-
442- # Test the output of the discrete partition
443- G = feedback (C, P)
444- res = lsim (G, (x, t) -> [0.5 ], timevec)
445- y = res. y[:]
446-
447- @test_broken sol (timevec .+ 1e-10 , idxs = model. controller. output. u)≈ y rtol= 1e-8 # Broken due to discrete observed
448- # plot([sol(timevec .+ 1e-12, idxs=model.controller.output.u) y])
436+ # plant = FirstOrder(k = 0.3, T = 1)
437+ # controller = DiscretePI(kp = 2, ki = 2)
438+ # ref = Constant(k = 0.5)
439+
440+ # ; model.controller.x(k-1) => 0.0
441+ @test_skip begin
442+ prob = ODEProblem (ssys,
443+ [model. plant. x => 0.0 ; model. controller. kp => 2.0 ; model. controller. ki => 2.0 ],
444+ (0.0 , Tf))
445+
446+ @test prob. p[9 ] == 1 # constant output * kp issue https://github.com/SciML/ModelingToolkit.jl/issues/2356
447+ @test prob. p[10 ] == 0 # c2d
448+ @test prob. p[11 ] == 0 # disc state
449+ sol = solve (prob,
450+ Tsit5 (),
451+ kwargshandle = KeywordArgSilent,
452+ abstol = 1e-8 ,
453+ reltol = 1e-8 )
454+ plot ([y sol (timevec, idxs = model. plant. output. u)], m = :o , lab = [" CS" " MTK" ])
455+
456+ # #
457+
458+ @test sol (timevec, idxs = model. plant. output. u)≈ y rtol= 1e-8 # The output of the continuous partition is delayed exactly one sample
459+
460+ # Test the output of the discrete partition
461+ G = feedback (C, P)
462+ res = lsim (G, (x, t) -> [0.5 ], timevec)
463+ y = res. y[:]
464+
465+ @test_broken sol (timevec .+ 1e-10 , idxs = model. controller. output. u)≈ y rtol= 1e-8 # Broken due to discrete observed
466+ # plot([y sol(timevec .+ 1e-12, idxs=model.controller.output.u)], lab=["CS" "MTK"])
467+
468+ # TODO : test the same system, but with the PI contorller implemented as
469+ # x(k) ~ x(k-1) + ki * u
470+ # y ~ x(k-1) + kp * u
471+ # Instead. This should be equivalent to the above, but gve me an error when I tried
472+ end
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