Active Fault Tolerant Control Design for LPV Systems with Simultaneous Actuator and Sensor Faults

Abstract

The present paper addresses the problem of robust active fault tolerant control (FTC) for uncertain linear parameter varying (LPV) systems with simultaneous actuator and sensor faults. First, fault estimation (FE) scheme is designed based on two adaptive sliding mode observers (SMO). Second, using the information of simultaneous system state, actuator, and sensor faults, two active FTC are conceived for LPV systems described with polytopic representation as state feedback control and sliding mode control. The stability of closed-loop systems is guaranteed by mean of H∞ performance; sufficient conditions of the proposed methods are derived in LMIs formulation. The performance effectiveness of FTC design is illustrated using a VTOL aircraft system with both sensor and actuator faults as well as disturbances. In addition, comparative simulations are provided to verify the benefits of the proposed methods.

Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems

“…Compared to the related references as References 11 and 20, the main innovation is to return the compensated sensor measurements into the PID-AFTTC instead of the faulty measurements provided by sensors. This allows the controller to compare the references with signals that the algorithm (10) aims to be similar to healthy measurements which help it to guarantee a very good tracking performance.…”

“…Taking into account the expressions of y r (t), y(t), and ēt (t), respectively, from ( 12), (10), and ( 29), the output tracking error e y r (t) can be computed as follows:…”

Robust fault estimation for polynomial systems with time delay via a polynomial adaptive observer

“…Numerous proposals for FE approaches have been made in the literature. For instance, sensor FE for descriptor systems (Jmal et al, 2018), sensor and actuator FE for neutral systems (Wei et al, 2021), actuator and sensor FE of wind turbine (Rahnavard et al, 2019), robust sensor FE for nonlinear system with monotone nonlinearities (Jmal et al, 2017), state FE for nonlinear fractional order systems (Jmal et al, 2020a), FE of component faults and actuator faults of nonlinear systems (Jmal et al, 2020b), FE for nonlinear One-Sided Lipschitz Systems (Naifar et al, 2022), proportional integral sliding mode observer (Elleuch et al, 2017), a supervised learning (Jia et al, 2021), adaptive actuator FE approach for linear models (Zhang et al, 2008), and adaptive sliding mode observers (Tayari et al, 2019). Due to the nonlinear nature of the majority of practical systems, the adaptive observer technique has been expanded to include complex dynamics.…”

Robust control of aircraft flight in conditions of disturbances

“…The synthesized control system allows minimizing aircraft loss-of-control by maintaining primary pilot input-system response characteristics throughout the flight, taking into account the possibility of actuator damage. In research [7] the problem of robust active fault-tolerant control (FTC) was considered for systems with undefined linear parameter variation (LPV) with simultaneous actuator and sensor failures. In research [8] a parameter independent embedded sliding mode controller with self-adaptation was developed that converges in the system in a finite time, focusing on the uncertain linear parameter variation (LPV) model of the aircraft variant, which has large-scale sweep angle variation and expansion.…”