The pole placement synthesis technique allows placing all closed-loop poles at desired locations, so that the system closed-loop specifications can be met. Thus, the main advantage of pole placement over other classical synthesis techniques is that we can force both the dominant and the non-dominant poles to lie at arbitrary locations.

Chapter Contents:

• 8.1 Fundamentals
• 8.1.1 List of symbols
• 8.1.2 Pole placement using an input-output representation
• 8.1.3 Preliminaries of pole placement in state space
• 8.1.4 Calculation of the feedback gain
• 8.1.4.1 Formula 1
• 8.1.4.2 Formula 2-Ackermann formula
• 8.1.5 Estimating the system state
• 8.1.6 Calculation of the state estimator gain
• 8.1.7 Simultaneous pole placement and state estimation
• 8.2 Solved problems
• 8.2.1 Pole placement using an input-output representation
• 8.2.2 Pole placement in state space
• 8.3 Proposed problems
• 8.3.1 Pole placement using an input-output representation
• 8.3.2 Pole placement in state space

Inspec keywords: pole assignment; closed loop systems; control system synthesis

Other keywords: closed-loop poles; controller synthesis; nondominant poles; pole placement synthesis; system closed-loop specifications; dominant poles

Subjects: Control system analysis and synthesis methods