Control Systems Design: A New Framework

List of Figures

Chapter 1: Foundation of Control Systems Design

Figure 1.1: Environment-system couple
Figure 1.2: Venn diagram
Figure 1.3: Venn diagram with a minimal admissible set
Figure 1.4: Example node array
Figure 1.5: Example of local trap
Figure 1.6: Illustration of new tolerance vector

Chapter 2: Matching Conditions for Transient Inputs

Figure 2.1: The ?-level set of ? is { ? ? ? 2 ? ? 0, ?( ?) ? ?} and is convex because ? is convex. If the ray { ? = r ? r ? 0} intersects this set, then ?( ) ? ?. Otherwise ?( ) > ?. Thus, in the instance shown above, the ?-level set { ? [0, 1] ?( ) ? ?} of ? is equal to the set [ 1, 2]. This set is convex because the ?-level set { ? ? ? 2 ? ? 0, ?( ?) ? ?} of ? is convex
Figure 2.2: The quantities ?( ) and ?( ? ) are shown plotted against for the system with transfer function H( s) = 1/( s 2 + s + 1) and the possible set = { f ? f ? 2 ? 5.0, ? ?

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