Variable Structure Systems: From Principles to Implementation

List of Figures

Chapter 1: Sliding Mode Control

Figure 1.1: Sliding mode in a second relay system
Figure 1.2: State planes of two unstable structures
Figure 1.3: State plane of variable structure system
Figure 1.4: Sliding mode in discontinuity surface and their intersection
Figure 1.5: Sliding mode in intersection of discontinuity surfaces
Figure 1.6: High gain implementation by sliding mode
Figure 1.7: Boundary layer
Figure 1.8: Chattering suppression in systems with observers

Chapter 3: Deterministic Output Noise Effects in Sliding Mode Observation

Figure 3.1: Simple pendulum
Figure 3.2: Spring-mass system
Figure 3.3: The function F(k)
Figure 3.4: The dependence

Chapter 4: Stochastic Output Noise Effects in Sliding Mode Observation

Figure 4.1: The function ? = ?( k)

Chapter 5: Discrete-time VSS

Figure 5.1: Phase plane
Figure 5.2: Error dynamics
Figure 5.3: Switching function dynamics s(t) and control signal u(t)for the nominal plant model- a) Golo's system; b) Furuta's system
Figure 5.4: Disturbance rejection capabilities of Golo's nominal system- a) error dynamics- NCS = non-compensated system, DE = compensated system with disturbance estimator, PI compensated system with PI compensator; b) switching function dynamics and control signal with periodic disturbance and PI compensator. a) d(t) = 10[h(t - 1.5) - h(t - 3)]; b)d(t) = 10sin(0.5t)h(t-3)
Figure 5.5: Phase plane of Golo's control system for the nominal (N) and of the real (R) plant model
Figure 5.6: Switching function dynamics s(t) and control u(t) for the system with real plant
Figure 5.7: Tracking trajectories and error signals- a) without disturbance compensation; b)...

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