44 lines
1.1 KiB
Markdown
44 lines
1.1 KiB
Markdown
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# Dynamic vs Algebraic
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- Dynamic system has "memory", output depends on present and past
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- Includes diff and/or integral operators with initial conditions
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- Cap and or inducer
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- Algebraic
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- No calculus operators
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- Output depends only on input
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# Time Invariant vs Time-Varying
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# Continuous vs Discrete time
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# Linear vs Non-Linear
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# Deterministic vs Stochastic
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- Deterministic
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- Output fully determined by parameter inputs
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- Stochastic
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- Include randomness
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- Noise/Disturbance
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- Same inputs can lead to different outputs
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# Lumped vs Distributed parameters
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- Lumped
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- Only one independent variable (time $t$)
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- Typical for electrical systems
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- $x(t)$
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- Ordinary differential equations
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- Distributed
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- Several independent variables
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- time, pressure, temperature
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- Typical for chemical processes and process control
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-$x(t, P, T)$
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- Differential partial equations
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# Causal vs Non-Causal
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- Causal
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- Output depends only on current and past values
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- Non-Causal
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- Output depends on future inputs
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# SISO vs MIMO
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- Single Input/Single Output
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- Multiple Input/Multiple Output
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