test and docs updates

Author: baggepinnen

docs/src/batch_linearization.md

@@ -123,7 +123,7 @@ for C in Cs
         connect(Ci.output, duffing.u)
     ]
     @named closed_loop = System(eqs, t, systems=[duffing, Ci, fb, ref, F])
-    prob = ODEProblem(structural_simplify(closed_loop), [F.x => 0, F.xd => 0], (0.0, 8.0))
+    prob = ODEProblem(mtkcompile(closed_loop), [F.x => 0, F.xd => 0], (0.0, 8.0))
     sol = solve(prob, Rodas5P(), abstol=1e-8, reltol=1e-8)
     plot!(sol, idxs=[duffing.y.u, duffing.u.u], layout=2, lab="")
 end
@@ -137,8 +137,8 @@ eqs = [
     connect(duffing.y, :v, Cgs.scheduling_input) # Don't forget to connect the scheduling variable!
 ]
 @named closed_loop = System(eqs, t, systems=[duffing, Cgs, fb, ref, F])
-prob = ODEProblem(structural_simplify(closed_loop), [F.xd => 0], (0.0, 8.0))
-sol = solve(prob, Rodas5P(), abstol=1e-8, reltol=1e-8, initializealg=SciMLBase.NoInit(), dtmax=0.01)
+prob = ODEProblem(mtkcompile(closed_loop), [F.x => 0, F.xd => 0], (0.0, 8.0))
+sol = solve(prob, Rodas5P(), abstol=1e-8, reltol=1e-8, dtmax=0.01)
 plot!(sol, idxs=[duffing.y.u, duffing.u.u], l=(2, :red), lab="Gain scheduled")
 plot!(sol, idxs=F.output.u, l=(1, :black, :dash, 0.5), lab="Ref")
 ```

docs/src/index.md

@@ -192,7 +192,7 @@ symbolic_sys = ss(mats.A, mats.B, mats.C, mats.D)
 That's pretty cool, but even nicer is to generate some code for this symbolic system. Below, we use `build_function` to generate a function that takes a numeric vector `x` representing the values of the state, and a vector of parameters, and returns a `StaticStateSpace{Continuous, Float64}`. We pass the keyword argument `force_SA=true` to `build_function` to get an allocation-free function. 
 
 ```@example LINEAIZE_SYMBOLIC
-defs = ModelingToolkit.defaults(simplified_sys)
+defs = ModelingToolkit.initial_conditions(simplified_sys)
 defs = merge(Dict(unknowns(model) .=> 0), defs)
 x = ModelingToolkit.get_u0(simplified_sys, defs) # Extract the default state and parameter values
 pars = ModelingToolkit.get_p(simplified_sys, defs, split=false)

test/test_ODESystem.jl

@@ -162,6 +162,8 @@ using ModelingToolkitStandardLibrary.Mechanical.Rotational
 using ModelingToolkitStandardLibrary.Blocks: Sine
 using ModelingToolkit: connect
 import ModelingToolkitStandardLibrary.Blocks
+Spring = Rotational.Spring
+Damper = Rotational.Damper
 t = Blocks.t
 
 # Parameters