Generated reference › State Space — Control Systems/Continues
kind: generated#block#control-systems-continues

State Space — Control Systems/Continues

A B C D

Control_Systems/Continues/State_Space · 1 input / 1 output port(s) at insert · exports to Python, MATLAB, Java, Rust, C, C++, VHDL, Verilog, SystemVerilog, PLC Structured Text

Description#

The block's own DESCRIPTION_HTML, rendered verbatim — the same text the config dialog's info panel and the library navigator show. Fix a wrong sentence in the block's .cpp (R-D9), never here.

State Space

Control Systems / Continues

A continuous-time linear system in state-space form:

dx/dt = A·x + B·u
y = C·x + D·u

with n states, m inputs and p outputs, so A is [n,n], B is [n,m], C is [p,n] and D is [p,m].

Ports

  • Input – the input vector u, [m,1].
  • Output – the output vector y, [p,1], sized from C.

Parameters

  • A, B, C, D – the system matrices. Their dimensions must agree with each other and with the connected input; a mismatch stops the run with a message naming the block.
  • Initial State Vector – x at the start of the run, [n,1].
  • Sampling Time (s) – zero or less inherits the solver's rate; a positive value runs the block at that period.

Code export

All ten targets: Python, MATLAB, Java, Rust, C, C++, VHDL, Verilog, SystemVerilog and PLC Structured Text. A deployable target runs a discrete model, so the export carries this system discretized by the run's method and the generated code matches the in-app simulation.

Simulink bridge

Import and export, mapped to simulink/Continuous/State-Space. "A", "B", "C", "D" to A, B, C, D; "Initial State Vector" to X0; "Sampling Time (s)" to SampleTime. Nothing is left behind – every parameter has a counterpart.

Notes

  • Stateful and continuous: the solver integrates the state between steps.
  • Being linear, the block is directly usable by the model reduction and linear-analysis commands.

Code facts#

FactValue
registered typeControl_Systems/Continues/State_Space
familyControl_Systems/Continues
solver environment classICoreBlock_0_Control_Systems_1_Continues_2_State_Space
sourcesrc/ICoreSDK/ICoreBlockLibrary/Blocks/Control_Systems/Continues/State_Space/ICoreBlock_0_Control_Systems_1_Continues_2_State_Space.cpp
headersrc/ICoreSDK/ICoreBlockLibrary/Blocks/Control_Systems/Continues/State_Space/ICoreBlock_0_Control_Systems_1_Continues_2_State_Space.h
default size on canvas130 × 90 px
ports at insert1 in, 1 out
code generators implementedPython, MATLAB, Java, Rust, C, C++, VHDL, Verilog, SystemVerilog, PLC Structured Text

Ports#

#DirectionSignal typeDescription label
1inICoreDouble
2outICoreDouble

Ports the constructor creates. A block whose port list changes with its configuration adds or removes ports at load time; the count above is the one a freshly inserted block has.

Configuration variables#

Config variableDefaultSimulink parameter
A[0 1;-1 -1]A
B[0; 1]B
C[1 0]C
D[0]D
Initial State Vector[0; 0]X0

Every block also carries Sampling Time (s) from ICoreBlockSolverEnvironment: zero or less inherits the solver's rate, a positive value runs the block at that period.

supportSupport::Both
Simulink pathsimulink/Continuous/State-Space
port-count rulePortsParam::None
SampleTime parameterno — the counterpart defines none; the rate stays on the ICore side
ICore configSimulink parameterValue translation
AApasses through
BBpasses through
CCpasses through
DDpasses through
Initial State VectorX0passes through

Catalog contract: src/ICoreSDK/ICoreCoder/ICoreCommandSystem/SimulinkBridge/ICoreSimulinkBlockCatalog.h

Description vs code#

The lists agree. check_block_descriptions.py finds no disagreement between the description's Ports, Parameters, Code export and Simulink bridge lists and the code's.

The verdict above is tools/docs/check_block_descriptions.py (P7.1), which compares LISTS. It cannot read a sentence: "stateless" on a block with a state, an initial-value semantic the recursion does not implement, a "not synthesizable" caveat the HDL banner contradicts. That is the agent audit (P7.3) on BLOCK_DESCRIPTION_AUDIT.md, and this tool's green is not a substitute for one.

File banner (developer view)#

The top comment of the block's .cpp — the maths, the realization and the export strategy, addressed to whoever changes it. It must not contradict the description above (P7.5).

Continuous State Space block — MIMO realization A linear MIMO system dx/dt = A x + B u, y = C x + D u (A:[n,n] B:[n,m] C:[p,n] D:[p,m]). The input port is the [m,1] input vector u, the output port the [p,1] output vector y, and the block state is the [n,1] vector x (NOT an element-wise [n,K] like the Transfer Function block — here the vector IS the MIMO signal, there is no per-entry replication).

Simulation: compute_f/compute_h run the state-space products on the continuous SS; the solver integrates dx/dt with RK. compute_f_discrete/compute_h_discrete run the recursion on the discretized SS. Initial state comes from the "Initial State Vector" config.

Code export (Python/MATLAB/Java/Rust/C/C++ and HDL/PLC) Targets cannot integrate a continuous ODE, so every generator realizes the DISCRETIZED state-space recursion directly — structurally identical to the in-app discrete simulation: y[k] = C x[k] + D u[k] (output from the CURRENT state) x[k+1] = A x[k] + B u[k] (state update; uses the same x[k]) A,B,C,D are embedded as constants (B=Bu, D=Du to match the simulation exactly) and x is the only persistent state, seeded with the configured initial state. ssDiscreteExport() discretizes then hands back A,B,C,D,x0; see per-language sections below.

Sample results#

State Space — Step: 0 -> 1 at t = 1 sState Space — Step: 0 -> 1 at t = 1 s00.51012345t (s)in ICoreDouble-Out-0out ICoreDouble-Out-0

The same rig also ran:

StimulusWhat it isOutput range
impulseImpulse: one sample of 1 at k = 5, 0 elsewhere (Repeating Sequence Stair)-0.008893 … 0.05458
rampRamp: slope 1 from t = 00 … 4.847
sineSine Wave: amplitude 1, 2 rad/s, no phase, no bias-0.3041 … 0.4966
tableRepeating Sequence Stair: [-2 -1 -0.5 0 0.5 1 2 3], one entry per sample-0.162 … 0.4821

Plotted: step — Step: 0 -> 1 at t = 1 s

Category dynamic · sample time 0.1 · 60 steps · commit ccf005c8 · produced by docsSample --out <folder> --steps 60 · data docs/generated/samples/Control_Systems__Continues__State_Space.json · the SVG is generated from those numbers by tools/docs/plot_svg.py, so it is a run and not a drawing (R-D10).