Incremental Passivity and Incremental Passivity-Based Output Regulation for Switched Discrete-Time Systems.

Area of Science:

• Control Theory
• Systems Engineering
• Discrete-Time Systems

Background:

• Switched discrete-time systems present challenges in stability and control.
• Traditional incremental passivity may not hold for individual subsystems within a switched system.
• Output regulation is crucial for achieving desired system behaviors.

Purpose of the Study:

• To introduce and define incremental passivity for switched discrete-time systems.
• To develop a method for achieving asymptotic stability using feedback control.
• To apply incremental passivity theory to solve the output regulation problem for these systems.

Main Methods:

• Proposed a novel concept of incremental passivity for switched systems.
• Designed a negative output feedback controller for asymptotic stability.
• Developed a switched internal model with incremental passivity for output regulation.
• Utilized feedback interconnection between the plant and the internal model.

Main Results:

• Established conditions for incremental passivity in switched systems.
• Demonstrated that incremental passivity is preserved under feedback interconnection.
• Showed that the proposed switched internal model facilitates output regulation.
• Achieved output regulation without requiring subsystems to possess incremental passivity.

Conclusions:

• Incremental passivity provides a robust framework for analyzing and controlling switched discrete-time systems.
• The proposed output regulation strategy is effective and offers design flexibility.
• This approach simplifies the output regulation problem by circumventing subsystem-level passivity requirements.