Elapse-time-dependent SMC for discrete-time uncertain stochastic jump systems
- Resource Type
- Conference
- Authors
- Lian, Lian; Hou, Yakun; Qi, Wenhai
- Source
- 2021 China Automation Congress (CAC) Automation Congress (CAC), 2021 China. :346-350 Oct, 2021
- Subject
- Aerospace
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Manifolds
Upper bound
Automation
Numerical simulation
Probability distribution
Linear matrix inequalities
Kernel
semi-Markovian parameters
sliding mode control
semi-Markov kernel
finite-time reachability
- Language
- ISSN
- 2688-0938
This paper is concerned with the issue of elapse-time-dependent sliding mode control (SMC) for discrete-time uncertain stochastic jump systems with semi-Markovian parameters. A elapse-time dependent sliding mode function is designed according to the concept of semi-Markov kernel (SMK), which allows that the jump between two adjacent modes is jointly regulated by the sojourn-time probability distribution functions (ST-PDFs) and the transition probabilities (TPs). Considering the upper bound of the ST, some relevant conditions are obtained to ensure the uncertain S-MJSs to be δ-error mean square stable (MSS) under the framework of linear matrix inequalities, and the proposed elapse-time dependent SMC laws guarantee the finite-time reachability of the assigned sliding region. A numerical simulation is provided to validate the proposed algorithm.