A Novel Resilient Control Scheme for a Class of Markovian Jump Systems With Partially Unknown Information

In the complex practical engineering systems, many interferences and attacking signals are inevitable in industrial applications. This article investigates the reinforcement learning (RL)-based resilient control algorithm for a class of Markovion jump systems with completely unknown transition probability information. Based on the Takagi-Sugeno logical structure, the resilient control problem of the nonlinear Markovion systems is converted into solving a set of local dynamic games, where the control policy and attacking signal are considered as two rival players. Combining the potential learning and forecasting abilities, the new integral RL (IRL) algorithm is designed via system data to compute the zero-sum games without using the information of stationary transition probability. Besides, the matrices of system dynamics can also be partially unknown, and the new architecture requires less transmission and computation during the learning process. The stochastic stability of the system dynamics under the developed overall resilient control is guaranteed based on the Lyapunov theory. Finally, the designed IRL-based resilient control is applied to a typical multimode robot arm system, and implementing results demonstrate the practicality and effectiveness.

Automated summary

This article investigates the RL-based resilient control algorithm for a class of Markovian jump systems with completely unknown transition probability information. The control problem of the nonlinear Markovian systems is converted into solving a set of local dynamic games, where the control policy and attacking signal are considered as two rival players. The designed integral RL (IRL) algorithm combines potential learning and forecasting abilities, requiring less transmission and computation during the learning process.