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- Title
Dissipativity-based resilient reliable sampled-data asynchronous control for interval-valued fuzzy systems with semi-Markovian hybrid fault coefficients.
- Authors
Li, Xiaoqing; She, Kun; Cheng, Jun; Shi, Kaibo; Zhong, Shouming
- Abstract
This article addresses the dissipativity-based nonfragile reliability sampled-data asynchronous synthesis problem for nonlinear networked control systems approximated by interval-valued fuzzy models, which with randomly occurring parametric uncertainties (ROPUs) and controller gain fluctuations (ROCGFs) simultaneously against semi-Markovian-type hybrid actuator failures (SMHAFs). Herein, the asynchronous phenomenon is the result of imperfectly matched membership functions (IMMFs) between the plant and controller. The stochastically uncertainties including system parameters and controller gain floats are characterized by a battery of mutually independent stochastic variables abiding by Bernoulli-distributed white sequences, which can be better to model more realistic scenarios and accord well with practical applications. In contrast with some existing publications, a novel and more realistic actuator fault model related to semi-Markovian coefficient is innovatively constructed to depict the stochastic actuator failures (SAFs), which is more in line with the actual situation and capable of covering previous faulty models, including healthy model, stuck faulty model, outage faulty model, and bias faulty model, etc. Thereafter, by exploiting an appropriately mode-dependent Lyapunov–Krasovskii functional and incorporating the skill of stochastic analysis technique, some sufficient conditions are formulated for acquiring the required theoretical outcomes. Precisely, by transforming the nonlinear matrix inequalities into strict linear constraints, dissipativity-based resilient fuzzy switching controller is designed to carry out the stochastic asymptotically stable while achieving the pre-specified (Q , S , R) - ⋎ dissipative performance level for the resultant semi-Markovian model. Additionally, the sufficient conditions are established in the form of a group of linear matrix inequalities (LMIs), which can be computed by adopting the standard software packages. Eventually, by resorting to an inverted pendulum model (IPM) and the variable speed wind turbine system (VSWTS), numerical simulations are elaborated to elucidate the feasibility and applicability of the proposed control design methodology.
- Subjects
FUZZY control systems; LINEAR matrix inequalities; HYBRID systems; DISTRIBUTED parameter systems; RANDOM variables; STOCHASTIC analysis
- Publication
Nonlinear Dynamics, 2022, Vol 107, Issue 3, p2215
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-021-07008-8