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add option to include disturbance args in generate_control_function #3273

Merged
merged 7 commits into from
Dec 16, 2024
21 changes: 14 additions & 7 deletions src/inputoutput.jl
Original file line number Diff line number Diff line change
Expand Up @@ -160,7 +160,7 @@ has_var(ex, x) = x ∈ Set(get_variables(ex))
# Build control function

"""
(f_oop, f_ip), x_sym, p, io_sys = generate_control_function(
(f_oop, f_ip), x_sym, p_sym, io_sys = generate_control_function(
sys::AbstractODESystem,
inputs = unbound_inputs(sys),
disturbance_inputs = nothing;
Expand All @@ -177,8 +177,7 @@ f_ip : (xout,x,u,p,t) -> nothing

The return values also include the chosen state-realization (the remaining unknowns) `x_sym` and parameters, in the order they appear as arguments to `f`.

If `disturbance_inputs` is an array of variables, the generated dynamics function will preserve any state and dynamics associated with disturbance inputs, but the disturbance inputs themselves will not be included as inputs to the generated function. The use case for this is to generate dynamics for state observers that estimate the influence of unmeasured disturbances, and thus require unknown variables for the disturbance model, but without disturbance inputs since the disturbances are not available for measurement.
See [`add_input_disturbance`](@ref) for a higher-level interface to this functionality.
If `disturbance_inputs` is an array of variables, the generated dynamics function will preserve any state and dynamics associated with disturbance inputs, but the disturbance inputs themselves will (by default) not be included as inputs to the generated function. The use case for this is to generate dynamics for state observers that estimate the influence of unmeasured disturbances, and thus require unknown variables for the disturbance model, but without disturbance inputs since the disturbances are not available for measurement. To add an input argument corresponding to the disturbance inputs, either include the disturbance inputs among the control inputs, or set `disturbance_argument=true`, in which case an additional input argument `w` is added to the generated function `(x,u,p,t,w)->rhs`.

!!! note "Un-simplified system"
This function expects `sys` to be un-simplified, i.e., `structural_simplify` or `@mtkbuild` should not be called on the system before passing it into this function. `generate_control_function` calls a special version of `structural_simplify` internally.
Expand All @@ -196,6 +195,7 @@ f[1](x, inputs, p, t)
"""
function generate_control_function(sys::AbstractODESystem, inputs = unbound_inputs(sys),
disturbance_inputs = disturbances(sys);
disturbance_argument = false,
implicit_dae = false,
simplify = false,
eval_expression = false,
Expand All @@ -219,10 +219,11 @@ function generate_control_function(sys::AbstractODESystem, inputs = unbound_inpu
# ps = [ps; disturbance_inputs]
end
inputs = map(x -> time_varying_as_func(value(x), sys), inputs)
disturbance_inputs = unwrap.(disturbance_inputs)

eqs = [eq for eq in full_equations(sys)]
eqs = map(subs_constants, eqs)
if disturbance_inputs !== nothing
if disturbance_inputs !== nothing && !disturbance_argument
# Set all disturbance *inputs* to zero (we just want to keep the disturbance state)
subs = Dict(disturbance_inputs .=> 0)
eqs = [eq.lhs ~ substitute(eq.rhs, subs) for eq in eqs]
Expand All @@ -239,16 +240,22 @@ function generate_control_function(sys::AbstractODESystem, inputs = unbound_inpu
t = get_iv(sys)

# pre = has_difference ? (ex -> ex) : get_postprocess_fbody(sys)

args = (u, inputs, p..., t)
if disturbance_argument
args = (u, inputs, p..., t, disturbance_inputs)
else
args = (u, inputs, p..., t)
end
if implicit_dae
ddvs = map(Differential(get_iv(sys)), dvs)
args = (ddvs, args...)
end
process = get_postprocess_fbody(sys)
wrapped_arrays_vars = disturbance_argument ?
wrap_array_vars(sys, rhss; dvs, ps, inputs, cachesyms = (disturbance_inputs,)) :
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wrap_array_vars(sys, rhss; dvs, ps, inputs)
f = build_function(rhss, args...; postprocess_fbody = process,
expression = Val{true}, wrap_code = wrap_mtkparameters(sys, false, 3) .∘
wrap_array_vars(sys, rhss; dvs, ps, inputs) .∘
wrapped_arrays_vars .∘
wrap_parameter_dependencies(sys, false),
kwargs...)
f = eval_or_rgf.(f; eval_expression, eval_module)
Expand Down
37 changes: 37 additions & 0 deletions test/input_output_handling.jl
Original file line number Diff line number Diff line change
Expand Up @@ -170,6 +170,43 @@ x = [rand()]
u = [rand()]
@test f[1](x, u, p, 1) == -x + u

# With disturbance inputs
@variables x(t)=0 u(t)=0 [input = true] d(t)=0
eqs = [
D(x) ~ -x + u + d^2
]

@named sys = ODESystem(eqs, t)
f, dvs, ps, io_sys = ModelingToolkit.generate_control_function(
sys, [u], [d], simplify = true)

@test isequal(dvs[], x)
@test isempty(ps)

p = nothing
x = [rand()]
u = [rand()]
@test f[1](x, u, p, 1) == -x + u

# With added d argument
@variables x(t)=0 u(t)=0 [input = true] d(t)=0
eqs = [
D(x) ~ -x + u + d^2
]

@named sys = ODESystem(eqs, t)
f, dvs, ps, io_sys = ModelingToolkit.generate_control_function(
sys, [u], [d], simplify = true, disturbance_argument = true)

@test isequal(dvs[], x)
@test isempty(ps)

p = nothing
x = [rand()]
u = [rand()]
d = [rand()]
@test f[1](x, u, p, 1, d) == -x + u + [d[]^2]

# more complicated system

@variables u(t) [input = true]
Expand Down
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