Fuzzy Predictive Fault‐Tolerant Control for Time‐Delay Nonlinear Systems with Partial Actuator Failures

Abstract

A fuzzy predictive fault-tolerant control (FPFTC) scheme is proposed for a wide class of discrete-time nonlinear systems with uncertainties, interval time-varying delays, and partial actuator failures as well as unknown disturbances, in which the main opinions focus on the relevant theory of FPFTC based on Takagi-Sugeno (T-S) fuzzy model description of these systems. The T-S fuzzy model represents the discrete-time nonlinear system in the form of the discrete uncertain time-varying delay state space, which is firstly constructed by a set of local linear models and the nonlinear membership functions. The novel improved state space model can be further obtained by extending the output tracking error to the constructed model. Then the fuzzy predictive fault-tolerant control law based on this extended model is designed, which can increase more control degrees of freedom. Utilizing Lyapunov-Krasovskill theory, less conservative delay-range-dependent stable conditions in terms of linear matrix inequality (LMI) constraints are given to ensure the asymptotically robust stability of closed-loop system. Meanwhile, the optimized cost function and H-infinity performance index are introduced to the stable conditions to guarantee the robust performance and antidisturbance capability. The simulation results on the temperature control of a strong nonlinear continuous stirred tank reactor (CSTR) show that the proposed control scheme is feasible and effective. on the control methods based on Takagi-Sugeno (T-S) fuzzy model [9,10]. In T-S fuzzy model, a set of local linear models are weighted by nonlinear membership functions in terms of IF-THEN rules to approximate a large class of nonlinear processes well [11]. In virtue of this, many mature linear theories are able to be applied fully to the stability analysis and control synthesis of nonlinear processes [12][13][14][15][16], which will make great progress in the advanced control theory.Due to the increasing demands for industrial products, the scale of industrial production is growing rapidly, which makes the industrial equipment operated under more complex environments. With the long-running industrial production, the failure may occur. If a failure cannot be coped with instantaneously in such environments through the suitable corrective action, it will make the control performance deteriorate and even expose the equipment and personnel to serious damage. Thus, fault-tolerant systems [17] and advanced process control algorithms [18] were studied to deal with failure using two soft computing approaches, i.e., Hindawi Complexity

Robust Asynchronous Switching Fault-Tolerant Control for Multi-Phase Batch Processes With Time-Varying Delay

“…Shi et al [15] proposed a robust constraint model to predict fault-tolerant control for industrial processes with actuator fault. Shi et al [16] proposed a fuzzy predictive fault-tolerant control method for nonlinear system with partial actuator failures. In reference [13][14][15][16], in view of the problem of partial actuator failure, the control method adopted is to introduce the failure factor into the controller design to overcome the effect of actuator failure on the system.…”

“…Shi et al [16] proposed a fuzzy predictive fault-tolerant control method for nonlinear system with partial actuator failures. In reference [13][14][15][16], in view of the problem of partial actuator failure, the control method adopted is to introduce the failure factor into the controller design to overcome the effect of actuator failure on the system. Furthermore, time delay is also an important factor affecting system stability and control performance.…”

Probability-Based Robust Stochastic Predictive Fault-Tolerant Control for Industrial Processes With Actuator Failures and Interval Time-Varying Delays

“…The emergence of these results proves that MPC can effectively deal with the time delay problem in the system, but these articles do not consider how to deal with the problem of actuator failure in the case of time delay. And rare researches [24,25] about integrated FTC with MPC have been presented for system with time-delay, failure and other issues. It can be found that the reliable control is applied in references [25,26], which is quite appropriate for system with frequent failures.…”

“…And rare researches [24,25] about integrated FTC with MPC have been presented for system with time-delay, failure and other issues. It can be found that the reliable control is applied in references [25,26], which is quite appropriate for system with frequent failures. Remarkably, as the science technique develops, some advanced devices are designed and developed so that the possibility of fault becomes lower.…”

“…If the reliable control law is implemented all the time, it will cause the unnecessary loss of energy and raw materials. Moreover, the deterministic process is studied in [25,26]. In practical industrial production, failures are usually stochastic and unpredictable so that how to select the appropriate controller is quite hard.…”