1. Fuzzy adaptive-event-triggered control for semi-linear parabolic PDE systems with stochastic actuator failures.
- Author
-
Song, Xiaona, Zhang, Renzhi, Song, Shuai, and Zhang, Yijun
- Subjects
- *
STOCHASTIC systems , *ACTUATORS , *FAULT-tolerant control systems , *JUMP processes , *MARKOVIAN jump linear systems , *DISTRIBUTED parameter systems - Abstract
• This work considers a networked control strategy based on pointwise measurements for fuzzy parabolic PDE systems with a novel AET communication mechanism. Unlike the distributed controllers, the controller designed in this paper only requires finite sensors and actuators. By defining a time-varying threshold that can be adjusted adaptively as needed, the AET control scheme introduced in our work can further reduce the communication frequency without destroying the dynamic performance, which will be demonstrated in the simulation part. • A novel two-sided looped-functional improved form the existing results is constructed in this paper. Unlike the traditional looped-functional or discontinuous LKF, the two-sided looped-functional (TSLF) proposed in this paper not only considers the information in [t p , t), but also takes full advantages from [t, t p + 1). With the help of the proposed TSLF and some advanced inequalities, a less conservative result is obtained in this paper, and the examples show a comparison between our result and some existing results. • To better fit the engineering practice, stochastic actuator failures are considered in our work. In comparison with the Markov jump failures, the proposed semi-Markov jump model allows sojourn-time to be non-exponential distributed, which includes the normal Markov jump failures model as a special case. In the simulation part, a Weibull distributed actuator failures model is introduced, which makes our research more practical. This paper investigates the fault-tolerant control problem for fuzzy semi-linear parabolic PDE systems with stochastic actuator failures. First, a pointwise measurement-based adaptive-event-triggered control scheme is newly proposed for semi-linear PDE systems to reduce the waste of communication resources. Second, by introducing a more practical semi-Markov jump model describing the random occurring actuator failures, the closed-loop system is exactly represented by a T–S fuzzy PDE model with semi-Markovian switching parameters. Moreover, by constructing a suitable LKF including an improved looped-functional and using some advanced inequalities, sufficient stability conditions with less conservatism are established. Finally, two simulation examples including comparative studies are employed to demonstrate the superiority and effectiveness of the developed method. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF