Asynchronous H∞ Control of Markov Jump Nonlinear Systems Using Sliding Mode Approach And Its Application to An Electric Circuit
- Resource Type
- Conference
- Authors
- Xu, Ming; Xu, Zhaowen; Ma, Longhua; Que, Haoyi; Cui, Dan
- Source
- 2020 16th International Conference on Control, Automation, Robotics and Vision (ICARCV) Control, Automation, Robotics and Vision (ICARCV), 2020 16th International Conference on. :1382-1387 Dec, 2020
- Subject
- Robotics and Control Systems
Markov processes
Attenuation
Stability criteria
Indexes
Hidden Markov models
Trajectory
Nonlinear dynamical systems
- Language
This note investigates the asynchronous control issue for Markov jump nonlinear systems using sliding mode approach. An interesting hidden Markov model based mapping mechanism is used to simulate the asynchronous phenomenon and quantify its degree. It is extended to the continuous-time case for Markov jump nonlinear systems by utilizing sliding mode approach. Sufficient conditions are derived ensuring the stochastic stability of the closed loop dynamic and its H ∞ noise attenuation performance. The obtained results are verified by a LCR circuit in the end.