Linear Control System Analysis and Design Fifth Edition by Constantine H. Houpis

By Constantine H. Houpis

Completely class-tested and confirmed to be a worthwhile self-study significant other, this text/reference positive factors in-depth motives, diagrams, calculations, and tables for a thorough evaluate of recent keep an eye on conception and standard keep watch over method design—keeping arithmetic to a minimal whereas stressing real-world engineering demanding situations, this resource emphasizes using CAD programs to enhance and simplify the layout of potent keep watch over platforms. software program incorporated!

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STATE TRAJECTORY. State trajectory is defined as the path produced in the state space by the state vector x(t ) as it changes with the passage of time. State space and state trajectory in the two-dimensional case are referred to as the phase plane and phase trajectory, respectively [1]. The first step in applying these definitions to a physical system is the selection of the system variables that are to represent the state of the system. Note that there is no unique way of making this selection.

State space and state trajectory in the two-dimensional case are referred to as the phase plane and phase trajectory, respectively [1]. The first step in applying these definitions to a physical system is the selection of the system variables that are to represent the state of the system. Note that there is no unique way of making this selection. The three common representations for expressing the system state are the physical, phase, and canonical state variables. The physical state-variable representation is introduced in this chapter.

3 DEFINITIONS From the preceding discussion the following definitions are evolved, based in part on the standards of the IEEE [1], and are used in this text. System. A combination of components that act together to perform a function not possible with any of the individual parts. The word system as used herein is interpreted to include physical, biological, organizational, and other entities, and combinations thereof, which can be represented through a common mathematical symbolism. The formal name systems engineering can also be assigned to this definition of the word system.

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