Digital Redesign-Based Interval State Estimation for Continuous Systems With Aperiodic Discrete Measurements

Area of Science:

• Control Systems Engineering
• State Estimation Theory
• Signal Processing

Background:

• Interval state estimation is crucial for systems with uncertain parameters.
• Aperiodic discrete measurements pose challenges for traditional estimation methods.
• Existing methods often require cooperative error systems, limiting applicability.

Purpose of the Study:

• To develop a two-step interval state estimation method for continuous systems with aperiodic discrete measurements.
• To design a discrete measurement observer with performance comparable to continuous observers.
• To remove the cooperative system constraint found in prior interval estimation techniques.

Main Methods:

• Digital redesign techniques are employed to design a discrete measurement observer with exponential time-varying gain.
• Interval state estimation is constructed by bounding continuous measurement estimation error and state matching error.
• The proposed method avoids the need for cooperative error systems.

Main Results:

• The designed discrete observer achieves estimation performance close to optimal continuous observers.
• The interval state estimation effectively bounds system states despite aperiodic measurements.
• Simulation examples demonstrate the method's effectiveness and superiority over existing approaches.

Conclusions:

• The proposed two-step interval state estimation method is effective for continuous systems with aperiodic discrete measurements.
• The removal of the cooperative system constraint broadens the applicability of interval state estimation.
• The method offers improved performance and robustness in state estimation problems.