SUMMARY
The discussion centers on determining the equivalent transfer function of two active Linear Time-Invariant (LTI) systems, G1(s) and G2(s), that operate at different times. Participants conclude that since G1 and G2 are never active simultaneously, they cannot be combined into a single transfer function. The consensus is that the joint system becomes non-time-invariant when switching between G1 and G2, complicating the description of the system's behavior. Therefore, a traditional transfer function representation is not applicable for this scenario.
PREREQUISITES
- Understanding of Linear Time-Invariant (LTI) systems
- Familiarity with transfer functions in control theory
- Knowledge of system time invariance concepts
- Basic principles of signal processing
NEXT STEPS
- Research methods for analyzing non-LTI systems
- Explore state-space representation of systems
- Learn about system switching and its effects on stability
- Investigate the use of piecewise functions in system analysis
USEFUL FOR
Control engineers, signal processing specialists, and students studying system dynamics will benefit from this discussion, particularly those interested in the complexities of combining multiple LTI systems.