Asynchronous Control for Discrete-Time Hidden Markov Jump Power Systems.

Area of Science:

• Electrical Engineering
• Control Systems Theory
• Stochastic Systems

Background:

• Discrete-time power systems are susceptible to random abrupt changes, such as transient faults.
• These changes necessitate robust control strategies for reliable operation.
• Existing control methods may not adequately address asynchronous behavior between control and system modes.

Purpose of the Study:

• To investigate the stabilization problem of discrete-time power systems experiencing random abrupt changes.
• To design an asynchronous control strategy for Markov jump-based power systems (MJPSs).
• To ensure stability and control existence when control and system modes operate asynchronously.

Main Methods:

• Modeling power system faults and circuit breaker switching as a Markov chain.
• Describing power systems as discrete-time Markov jump systems (MJPSs).
• Utilizing hidden Markov model (HMM) techniques to characterize control-system mode asynchronization.
• Constructing mode-dependent stochastic Lyapunov functions.
• Deriving sufficient stability and control existence conditions using linear matrix inequalities (LMIs).

Main Results:

• Sufficient conditions for stochastic stability and control existence were derived in the form of LMIs.
• The proposed asynchronous control ensures the stability of the hidden MJPSs.
• The developed control law is validated through a simulation example.

Conclusions:

• The asynchronous control approach effectively stabilizes discrete-time power systems with random abrupt changes.
• The use of LMIs provides a systematic way to design controllers for MJPSs with asynchronous modes.
• Simulation results confirm the practical efficiency of the proposed control strategy.