Ladder logic was originally a written method to document the design and construction of
relay racks as used in manufacturing and
process control
Industrial process control (IPC) or simply process control is a system used in modern manufacturing which uses the principles of control theory and physical industrial control systems to monitor, control and optimize continuous Industrial processe ...
. Each device in the relay rack would be represented by a symbol on the ladder diagram with connections between those devices shown. In addition, other items external to the relay rack such as pumps, heaters, and so forth would also be shown on the ladder diagram.
Ladder logic has evolved into a
programming language
A programming language is a system of notation for writing computer programs.
Programming languages are described in terms of their Syntax (programming languages), syntax (form) and semantics (computer science), semantics (meaning), usually def ...
that represents a program by a graphical diagram based on the
circuit diagram
A circuit diagram (or: wiring diagram, electrical diagram, elementary diagram, electronic schematic) is a graphical representation of an Electrical network, electrical circuit. A pictorial circuit diagram uses simple images of components, whil ...
s of
relay logic hardware. Ladder logic is used to develop software for
programmable logic controller
A programmable logic controller (PLC) or programmable controller is an industrial computer that has been ruggedized and adapted for the control of manufacturing processes, such as assembly lines, machines, robotic devices, or any activity that ...
s (PLCs) used in industrial control applications. The name is based on the observation that programs in this language resemble ladders, with two vertical rails and a series of horizontal rungs between them. Ladder diagrams were once the only way to record programmable controller programs, but today, other forms are standardized in
IEC 61131-3
IEC 61131-3 is the third part (of 10) of the international standard IEC 61131 for programmable logic controllers. It was first published in December 1993 by the IEC; the current (fourth) edition was published in May 2025.
Part 3 of ''IEC 61131' ...
. For example, instead of the graphical ladder logic form, there is a language called
Structured text, which is similar to C, within the
IEC 61131-3
IEC 61131-3 is the third part (of 10) of the international standard IEC 61131 for programmable logic controllers. It was first published in December 1993 by the IEC; the current (fourth) edition was published in May 2025.
Part 3 of ''IEC 61131' ...
standard.
Overview
Ladder logic is widely used to program
PLCs, where sequential control of a process or manufacturing operation is required. Ladder logic is useful for simple but critical control systems or for reworking old
hardwired relay circuits. As programmable logic controllers became more sophisticated it has also been used in very complex automation systems. Often the ladder logic program is used in conjunction with a
human–machine interface (HMI) program operating on a computer workstation.
The motivation for representing
sequential control logic in a ladder diagram was to allow factory engineers and technicians to develop software without additional training to learn a language such as
FORTRAN or other general-purpose computer language. Development and maintenance were simplified because of the resemblance to familiar relay hardware systems.
[Edward W. Kamen ''Industrial Controls and Manufacturing'', (Academic Press, 1999) , Chapter 8 ''Ladder Logic Diagrams and PLC Implementations''] Implementations of ladder logic may have characteristics, such as sequential execution and support for control flow features, that make the analogy to hardware somewhat inaccurate.
Ladder logic can be thought of as a
rule-based language rather than a
procedural language
Procedural programming is a programming paradigm, classified as imperative programming, that involves implementing the behavior of a computer program as procedures (a.k.a. functions, subroutines) that call each other. The resulting program is a ...
. A "rung" in the ladder represents a rule. When implemented with relays and other electro-mechanical devices, the various rules execute simultaneously and immediately. When implemented in a programmable logic controller, the rules are typically executed sequentially by software in a continuous loop, or "scan". By executing the loop fast enough, typically many times per second, the effect of simultaneous and immediate execution is achieved. Proper use of programmable controllers requires an understanding of the limitations of the execution order of rungs.
Syntax and examples
The language itself can be seen as a set of connections between logical checkers (contacts) and actuators (coils). When a path exists from the left side of the rung to the output through asserted (true or "closed") contacts, the rung is considered true, and the output coil storage bit is set to 1 or (true). If no such path exists, the output is false (0), and the "coil" by analogy to electromechanical
relay
A relay
Electromechanical relay schematic showing a control coil, four pairs of normally open and one pair of normally closed contacts
An automotive-style miniature relay with the dust cover taken off
A relay is an electrically operated switc ...
s is considered "de-energized". This analogy between logical propositions and relay contact status was established by
Claude Shannon
Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and the man who laid the foundations of th ...
.
Ladder logic has contacts that make or break circuits to control coils. Each coil or contact corresponds to the status of a single bit in the programmable controller's memory. Unlike electromechanical relays, a ladder program can refer any number of times to the status of a single bit, equivalent to a relay with an indefinitely large number of contacts.
So-called "contacts" may refer to physical ("hard") inputs to the programmable controller from physical devices such as pushbuttons and
limit switches via an integrated or external input module, or may represent the status of internal storage bits which may be generated elsewhere in the program.
Each rung of ladder language typically has one coil at the far right. Some manufacturers may allow more than one output coil on a rung.
; Rung input: Checkers (contacts)
; Rung output: Actuators (coils)
The "coil" (output of a rung) may represent a physical output which operates some device connected to the programmable controller, or may represent an internal storage bit for use elsewhere in the program.
A way to recall these is to imagine the checkers (contacts) as a push button input, and the actuators (coils) as a light bulb output. The presence of a slash within the checkers or actuators would indicate the default state of the device at rest.
Logical AND
The above realizes the function: Door motor = Key switch 1
AND Key switch 2
This circuit shows two key switches that security guards might use to activate an electric motor on a bank vault door. When the normally open contacts of both switches close, electricity is able to flow to the motor which opens the door.
Logical AND with NOT
The above realizes the function: Door motor = Close door
AND NOT Obstruction.
This circuit shows a push button that closes a door and an obstruction detector that senses if something is in the way of the closing door. When the normally open push button contact closes and the normally closed obstruction detector is closed (no obstruction detected), electricity is able to flow to the motor which closes the door.
Logical OR
The above realizes the function: Unlock = Interior unlock
OR Exterior unlock
This circuit shows the two things that can trigger a car's
power door locks. The remote receiver is always powered. The unlock
solenoid gets power when either set of contacts is closed.
Industrial STOP/START
In common industrial latching start/stop logic, we have a "Start" button to turn on a motor contactor, and a "Stop" button to turn off the contactor.
When the "Start" button is pushed the input goes true, via the "Stop" button NC contact. When the "Run" input becomes true the seal-in "Run" NO contact in parallel with the "Start" NO contact will close maintaining the input logic true (latched or sealed-in). After the circuit is latched the "Stop" button may be pushed causing its NC contact to open and consequently the input to go false. The "Run" NO contact then opens and the circuit logic returns to its inactive state.
The above realizes the function: Run = (Start
OR Run)
AND (
NOT Stop)
This
latch configuration is a common
idiom
An idiom is a phrase or expression that largely or exclusively carries a Literal and figurative language, figurative or non-literal meaning (linguistic), meaning, rather than making any literal sense. Categorized as formulaic speech, formulaic ...
in ladder logic. It may also be referred to as ''seal-in logic''. The key to understanding the latch is in recognizing that the "Start" switch is a momentary switch (once the user releases the button, the switch is open again). As soon as the "Run" solenoid engages, it closes the "Run" NO contact, which latches the solenoid on. The "Start" switch opening up then has no effect.
: Note: In this example, "Run" represents the status of a
bit in the
PLC, while "Motor" represents the actual output to the real-world
relay
A relay
Electromechanical relay schematic showing a control coil, four pairs of normally open and one pair of normally closed contacts
An automotive-style miniature relay with the dust cover taken off
A relay is an electrically operated switc ...
that closes the motor's real-world
circuit.
For safety reasons, an emergency stop ("ES") may be hardwired in series with the "Start" switch, and the relay logic should reflect this.
Complex logic
Here is an example of what two rungs in a ladder logic program might look like. In real-world applications, there may be hundreds or thousands of rungs.
Typically, complex ladder logic is "read" left to right and top to bottom. As each of the lines (or rungs) are evaluated the output coil of a rung may feed into the next stage of the ladder as an input. In a complex system there will be many "rungs" on a ladder, which are numbered in order of evaluation:
This represents a slightly more complex system for rung 2. After the first line has been evaluated, the output coil "A/C" is fed into rung 2, which is then evaluated and the output coil "Cooling" could be fed into an output device "Compressor" or into rung 3 on the ladder. This system allows very complex logic designs to be broken down and evaluated.
Additional functionality
Additional functionality can be added to a ladder logic implementation by the PLC manufacturer as a special block. When the special block is powered, it executes code on predetermined arguments. These arguments may be displayed within the special block.
In this example, the system will count the number of times that the interior and remote unlock buttons are pressed. This information will be stored in memory locations A and B. Memory location C will hold the total number of times that the door has been unlocked electronically.
PLCs have many types of special blocks. They include timers, arithmetic operators and comparisons, table lookups, text processing,
PID control, and filtering functions. More powerful PLCs can operate on a group of internal memory locations and execute an operation on a range of addresses, for example, to simulate a physical sequential drum controller or a
finite-state machine
A finite-state machine (FSM) or finite-state automaton (FSA, plural: ''automata''), finite automaton, or simply a state machine, is a mathematical model of computation. It is an abstract machine that can be in exactly one of a finite number o ...
. In some cases, users can define their own special blocks, which effectively are subroutines or macros. The large library of special blocks along with high-speed execution has allowed use of PLCs to implement very complex automation systems.
Limitations and successor languages
Ladder notation is best suited to control problems where only
binary variables are required and where interlocking and sequencing of binary is the primary control problem. Like all
parallel programming languages, the sequential order of operations may be undefined or obscure; logic
race condition
A race condition or race hazard is the condition of an electronics, software, or other system where the system's substantive behavior is dependent on the sequence or timing of other uncontrollable events, leading to unexpected or inconsistent ...
s are possible which may produce unexpected results. Complex rungs are best broken into several simpler steps to avoid this problem. Some manufacturers avoid this problem by explicitly and completely defining the execution order of a rung, however, programmers may still have problems fully grasping the resulting complex semantics.
Analog quantities and arithmetical operations are clumsy to express in ladder logic and each manufacturer has different ways of extending the notation for these problems. There is usually limited support for arrays and loops, often resulting in duplication of code to express cases that in other languages would call for use of indexed variables.
As
microprocessors
A microprocessor is a computer processor for which the data processing logic and control is included on a single integrated circuit (IC), or a small number of ICs. The microprocessor contains the arithmetic, logic, and control circuitry r ...
have become more powerful, notations such as
sequential function charts and
function block diagram
The function block diagram (FBD) is a graphical language for programmable logic controller design, that can describe the function between input variables and output variables. A function is described as a set of elementary blocks. Input and o ...
s can replace ladder logic for some limited applications. Some newer PLCs may have all or part of the programming carried out in a dialect that resembles
BASIC
Basic or BASIC may refer to:
Science and technology
* BASIC, a computer programming language
* Basic (chemistry), having the properties of a base
* Basic access authentication, in HTTP
Entertainment
* Basic (film), ''Basic'' (film), a 2003 film
...
,
C, or other
programming language
A programming language is a system of notation for writing computer programs.
Programming languages are described in terms of their Syntax (programming languages), syntax (form) and semantics (computer science), semantics (meaning), usually def ...
with bindings appropriate for a real-time application environment.
Popularity
In 2019, IEEE Spectrum ranked ladder logic as number 50 out of 52 in a list of popular programming languages.
See also
*
Circuit (computer science)
In theoretical computer science, a circuit is a model of computation in which input values proceed through a sequence of gates, each of which computes a function. Circuits of this kind provide a generalization of Boolean circuits and a mathematica ...
*
IEC 61131
*
Parallel computing
Parallel computing is a type of computing, computation in which many calculations or Process (computing), processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at the same time. ...
*
Structured text
References
Further reading
* {{cite book , title=The Programmable Logic Controller: its prehistory, emergence and application , author-first=Mark John , author-last=Walker , date=2012-09-08 , type=PhD thesis , location=Department of Communication and Systems Faculty of Mathematics, Computing and Technology , publisher=
The Open University , url=http://oro.open.ac.uk/54687/1/594090.pdf , access-date=2018-06-20 , url-status=live , archive-url=https://web.archive.org/web/20180620115412/http://oro.open.ac.uk/54687/1/594090.pdf , archive-date=2018-06-20
External links
"Chapter 6: ladder logic"by Tony R. Kuphaldt
Electronic design automation
Programmable logic controllers
Visual programming languages