Robust Frequency-Domain Constrained Feedback Design via a Two-Stage Heuristic Approach.

Area of Science:

• Control Engineering
• Systems Theory
• Robust Control

Background:

• Practical control system designs often involve specifications within limited frequency ranges.
• Uncertain linear discrete-time systems with polytopic uncertainties require robust control strategies.

Purpose of the Study:

• To design robust feedback controllers for uncertain linear discrete-time systems.
• To address restricted frequency-domain specifications (RFDSs) in controller design.
• To develop a two-stage heuristic method for controller synthesis.

Main Methods:

• Utilized a two-stage heuristic approach for controller synthesis.
• Introduced dilated multipliers to relax the generalized Kalman-Yakubovich-Popov lemma.
• Employed heuristic iterative algorithms for feedback gain exploration and optimization.
• Designed a robust full-information (FI) controller in the first stage.

Main Results:

• Successfully synthesized output feedback controllers addressing RFDSs.
• Demonstrated improved solvability of the synthesis method through iterative algorithms.
• Validated the controller design through application to active suspension systems.

Conclusions:

• The proposed two-stage heuristic method effectively designs robust controllers for uncertain systems with RFDSs.
• The method offers a practical approach for synthesizing controllers with frequency-specific constraints.
• The active control of suspension systems serves as a successful demonstration of the method's efficacy.