Optimal Control for Aperiodic Dual-Rate Systems With Time-Varying Delays

Area of Science:

• Control Systems Engineering
• Optimization Algorithms
• Networked Systems

Background:

• Dual-rate systems present challenges due to differing input and output speeds.
• Maximizing system decay rate is crucial for stability and performance.
• Networked control systems introduce time-varying delays that complicate control design.

Purpose of the Study:

• To maximize the decay rate of a dual-rate system.
• To develop an optimization algorithm for selecting input signals and sampling times.
• To adapt the algorithm for time-varying delays in networked control systems.

Main Methods:

• Considering a dual-rate scenario with slow input and fast output.
• Employing an optimization algorithm to select n-input signals and their application times.
• Extending the algorithm to handle time-varying delays.

Main Results:

• The proposed method effectively maximizes the system decay rate.
• The optimization algorithm successfully identifies optimal input signal choices and sampling times.
• The extended algorithm is suitable for networked control system implementation.

Conclusions:

• The developed optimization strategy enhances the performance of dual-rate systems.
• The algorithm's adaptability to time-varying delays makes it applicable to real-world networked control scenarios.
• Experimental results on an air levitation system validate the algorithm's effectiveness.