4.4Stability of Linear Time Invariant Continuous-Time Systems
In order for a physical system to operate as intended, it must be capable of generating output(s) in a stable fashion. Regulation of a process temperature is unsatisfactory if the heat source cycles continuously between extremes, that is, off or operating at maximum output, unless it is designed to operate that way like a room thermostat. A control system for maintaining a fixed amount of material in a storage tank in the presence of a fluctuating input may not be performing as intended if the regulating valve in the input line continually cycles between its limits. Each is a real-world example of a control system operating in an unstable manner.
The starting point of an investigation ...
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