Changan Jiang

Operator-based robust control for nonlinear systems with Prandtl-Ishlinskii hysteresis

This article presents an operator-based robust control method for nonlinear systems with Prandtl–Ishlinskii (PI) hysteresis. On the existence of the hysteresis, the system usually exhibits undesirable oscillations and even instability. While addressing the hysteresis, PI model is adopted to describe it. Especially, the PI model is decomposed into two terms: an invertible part and a disturbance part. In this way, the invertible part could be considered as a part of the nonlinear system. Based on the concept of Lipschitzs operator and the robust right coprime factorisation condition, a robust control design scheme is given to guarantee the bounded input bounded output stability of the obtained system. Further, a tracking operator design method is given to ensure the control system output-tracking performance under the existence of the disturbance part. Numerical simulation results are presented to validate the effectiveness of the proposed method.

Operator-based experimental studies on nonlinear vibration control for an aircraft vertical tail with considering low-order modes:

In this paper, a robust nonlinear control design using an operator-based robust right coprime factorization approach is considered for vibration control on an aircraft vertical tail with piezoelectric elements. First, a model of the aircraft vertical tail is derived to describe vibration response using the operator-based approach, where, to stabilize vibration of the tail, piezoelectric elements are used as actuators and a hysteresis nonlinear property of piezoelectric actuators is considered. Simultaneously, positions of the piezoelectric actuators that are stuck on the plate are arranged by using a finite element method. Then based on the obtained operator-based model, a robust nonlinear feedback control design is given by using robust right coprime factorization for the aircraft vertical tail with considering the effect of hysteresis nonlinearity from piezoelectric actuators. In particular, low-order modes are employed to design the control scheme even though vibration is configured by high-order modes. In other words, robustness is considered, and the desired performance of tracking is discussed. Finally, both simulation and experimental results are shown to verify the effectiveness of the proposed control scheme.

Operator-based vibration control for aircraft vertical tail with piezoelectric actuator

In this paper, vibration control method for aircraft vertical tail with piezoelectric actuator is proposed. For describing the vibration response of aircraft vertical tail, a dynamic model of the tail is constructed. With considering the effect of hysteresis from the piezoelectric actuator, operator based controllers are designed to control the vibration of the tail and to guarantee the desired vibration control performance of the tail. Finally, numerical simulation results are shown to verify the effectiveness of the proposed method.

A novel modeling of nonlinear plants with hysteresis described by non-symmetric play operator

A novel modeling of nonlinear plants with hysteresis is proposed. The hysteresis nonlinearity is described by a modified Prandtl-Ishlinskii hysteresis model which is the weighted superposition of non-symmetric play operator. The proposed hysteresis model also facilitates the utilization of robust right coprime factorization. Simulation result is presented to show the feasibility of the proposed hysteresis model.

Operator based Nonlinear Control Design for a Water Level Process System

Abstract In this paper, a method of nonlinear control systems design for a water level process is proposed. This design method uses operator based robust right coprime factorization for the nonlinear process system, as a result, robust stability of the nonlinear process system is guaranteed. For the obtained robust stable process system, an operator based process tracking controller is also designed to realize the desired output tracking performance and to eliminate the disturbance of the process system input. A simulation result obtained to a water level process control system is given to show the effectiveness of the proposed method.

Operator-based parallel compensation control for the plants with hysteresis

In this paper, operator-based parallel compensation control for the plants with hysteresis is considered. In order to describe the hysteresis, Prandtl-Ishlinskii hysteresis model with play hysteresis operators is applied. By using properties between play and stop hysteresis operators, a parallel compensator is constructed by the stop hysteresis operators. As a result, the hysteresis dynamics is compensated. According to operator-based right coprime factorization, a feedback stability controller and a tracking controller are designed to guarantee the stability and the output tracking performance. Finally, the numerical simulation results are presented to validate the effectiveness of the proposed method.

Robust stability and tracking of non-linear systems with modified Prandtl-Ishlinskii hysteresis model

This paper introduces a method to guarantee robust stability of nonlinear systems with modified Prandtl-Ishlinskii (PI) hysteresis model and presents a tracking controller design method to compensate the effect of hysteretic non-linearity. In order to make hysteresis model closer to the real hysteretic behaviour, a modified PI hysteresis model which is described by a non-symmetric play operator with unknown slopes is adopted. Using an operator theoretic approach, the modified PI hysteresis model is represented as a generalised Lipschitz operator and a bounded parasitic term. To guarantee robust stability of the controlled systems with hysteresis, a robust condition using robust right coprime factorisation is used. To ensure the output tracking performance, a non-linear tracking controller is designed. Simulation results are presented to validate the effectiveness of the proposed control design method.

Operator based robust control for nonlinear systems with hysteresis

In this paper, a method of operator based robust control for nonlinear systems with hysteresis is proposed. In order to describe the hysteresis, Prandtl-Ishlinskii model is adopted. The operator based controllers are designed for stabilizing the nonlinear system with hysteresis and realizing the desired output tracking performance. The numerical simulation result is presented to validate the effectiveness of the proposed approach.

Sensitivity of operator-based nonlinear feedback control systems

This paper studies sensitivity of operator-based nonlinear feedback control systems. Nonlinear systems under bounded perturbations can be stabilized by using a condition of robust right coprime factorization. In this paper, based on the stabilized systems, a new condition is proposed to guarantee that the stabilized systems are insensitive to the effect of the perturbations.

Operator-based parallel compensation control for hysteresis using ELM-based stop-type PI model

In this paper, operator-based parallel compensation control for hysteresis is considered. In order to describe the hysteresis, play-type Prandtl-Ishlinskii (PI) hysteresis model is applied. By using properties between play and stop hysteresis operators, a parallel compensator is designed by stop-type PI hysteresis model which is constructed by using Extreme Learning Machine (ELM). As a result, the hysteresis dynamics is compensated. According to operator-based right coprirne factorization, a feedback controller and a tracking controller are designed to guarantee the output tracking performance. Finally, the numerical simulation results are presented to validate the effectiveness of the proposed method.