Analysis and Control of Linear Systems

List of Figures

Chapter 1: Transfer Functions and Spectral Models

Figure 1.1: System symbolics
Figure 1.2: Unit-step function
Figure 1.3: Modeling of a short phenomenon
Figure 1.4: Derivative of a step function
Figure 1.5: Response to a basic impulse
Figure 1.6: Step approximation
Figure 1.7: Concepts of stability
Figure 1.8: Serial association
Figure 1.9: Parallel association
Figure 1.10: Loop structure
Figure 1.11: Unstable system inserted into a loop
Figure 1.12: Bode diagram
Figure 1.13: Black diagram
Figure 1.14: Nyquist diagram
Figure 1.15: Unit-step response of the first order model
Figure 1.16: Bode diagram of the first order system
Figure 1.17: Black diagram
Figure 1.18: Nyquist diagram
Figure 1.19: Unit-step response of the second order system ? ? 1
Figure 1.20: Unit-step response of the second order system ? < 1
Figure 1.21: ? 0t r and ? 0t m according to the damping ?
Figure 1.22: Overflow according to the damping ?
Figure 1.23: Bode diagram of a second order system with ? ? 1
Figure 1.24: Bode diagram of a second order system with ? < 1
Figure 1.25: Nyquist diagram of a second order system with ? < 1
Figure 1.26: Black diagram of a second order system with ? < 1

Chapter 2: State Space Representation

Figure 2.1: Dynamic system
Figure 2.2: Companion form for the control
Figure 2.3: Companion form for the observation

Chapter 3: Discrete-Time Systems

Figure 3.1: Computer control
Figure 3.2: Interconnected systems
Figure 3.3: Bode diagram

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