How Does State Space Design Compare to Classical PID Controllers?

In summary, state space design is a modern approach to control complicated systems that involve multiple inputs and outputs. It utilizes a central MIMO state space model to represent the relationships between states, but also incorporates classical Laplace transforms to simplify the individual inputs and outputs. This allows for better analysis and control of non-linear or MIMO systems.
  • #1
MikeSv
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Hello everyone.

Iam just Learning about State space representation and controller design and have a fundamental question about the difference between classical Control theory and modern Control theory.

I understood the state space is of advantage when dealing with MIMO systems or non-linear systems, but:

What exactly is state space design? Does it replace i.ex. a classical PID controller?

Thanks in advance,

kind regards,

Michael
 
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  • #2
Complicated systems are often a mixture of approaches. There are usually several outputs that need to be controlled and they are interrelated. The central controller of a MIMO system can not be analysed as a simple PID controller. The physics of the system may include relationships between states that are hard to represent without a state space model. That forces you to include a central MIMO state space model. But the individual inputs and outputs of that model may be simpler. That leads you to surrounding your MIMO state space model with several classical Laplace transforms which pre-process the individual inputs and post-process the outputs.
 
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1. What is State Space representation?

State Space representation is a mathematical model used to describe the behavior and evolution of a system. It represents the state of a system at any given time, as well as the possible states it can transition to.

2. What is the difference between State Space representation and other modeling techniques?

Unlike other modeling techniques, such as differential equations or transfer functions, State Space representation allows for the inclusion of multiple inputs and outputs, making it more versatile for complex systems.

3. How is State Space representation used in control systems?

In control systems, State Space representation is used to design controllers that can regulate the behavior of a system by manipulating its inputs. It is also used to analyze the stability and controllability of a system.

4. What are the advantages of using State Space representation?

State Space representation allows for a more comprehensive and detailed understanding of a system's behavior, as well as the ability to model complex systems with multiple inputs and outputs. It also allows for the use of modern control theory techniques.

5. Can State Space representation be applied to any type of system?

Yes, State Space representation can be applied to a wide range of systems, including physical, biological, and social systems. It is a general modeling technique that can be adapted to different types of systems and phenomena.

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