Dissipativity-based resilient reliable sampled-data asynchronous control for interval-valued fuzzy systems with semi-Markovian hybrid fault coefficients

• Published in: Nonlinear dynamics Vol. 107; no. 3; pp. 2215 - 2243
• Main Authors: Li, Xiaoqing, She, Kun, Cheng, Jun, Shi, Kaibo, Zhong, Shouming
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01-02-2022; Springer Nature B.V
• Subjects: Actuators; Automotive Engineering; Classical Mechanics; Control; Control systems design; Controllers; Dynamical Systems; Engineering; Fuzzy control; Fuzzy systems; Hybrid systems; Independent variables; Linear matrix inequalities; Mathematical models; Mechanical Engineering; Network control; Network reliability; Nonlinear control; Original Paper; Uncertainty; Vibration; Wind turbines; Interval-valued fuzzy models (IVFMs); Randomly occurring controller gain fluctuations (ROCGFs); Imperfectly matched membership functions (IMMFs); Semi-Markovian hybrid actuator failures (SMHAFs); Lyapunov–Krasovskii functional (LKF)
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-021-07008-8

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.