Speed Control of Permanent Magnet Synchronous Motor With Uncertain Parameters and Unknown Disturbance
26
Citation
20
Reference
10
Related Paper
Citation Trend
Abstract:
Control of the speed as well as shaping the speed transient response of a surface-mounted permanent magnet synchronous motor (PMSM) is achieved using the method of feedback linearization and extended high-gain observer. To recover the performance of feedback linearization, an extended high-gain observer is utilized to estimate both the speed of the motor and the disturbance present in the system. The observer is designed based on a reduced model of the PMSM, which is realized through the application of singular perturbation theory. The motor parameters are assumed uncertain and we only assume knowledge of their nominal values. The external load torque is also assumed to be unknown and time-varying, but bounded. Stability analysis of the output feedback system is given. Experimental results confirm the performance and robustness of the proposed controller and compare it to the cascaded proportional integral (PI) speed controller.Keywords:
Robustness
Linearization
Feedback linearization
Electronic speed control
Observer (physics)
Linearization is one of the most powerful tools in control of nonlinear systems. It has obtained various applications in aircraft pilot control, safety control of power systems, chemical reactor control, economical system, biological system, robot control etc. This survey outlines the long history and the recent development of linearization, including different techniques and useful results. We first recall the development of the linearization from approximated one to exact one. Poincare's linearization is reviewed. The necessary and sufficient conditions and algorithms of the state feedback linearization are mentioned. Then various kinds of linearizations are surveyed, which includes the global linearization, full linearization, input-output linearization, non-regular feedback linearization. Partial linearization and its relationship with relative degrees are sequentially discussed. Some other linearization techniques such as dynamic feedback linearization, approximate linearization, Carleman Linearization etc. are also briefly introduced. The paper is expected to provide a complete picture of linearization: its past, present and key issues for further investigation.
Feedback linearization
Linearization
Cite
Citations (0)
This paper presents a study of linear control systems based on exact feedback linearization and approximate feedback linearization. As exact feedback linearization is applied, a linear controller can perform the control objectives. The approximate feedback linearization is required when a nonlinear system presents a noninvolutive property. It uses a Taylor series expansion in order to compute a nonlinear transformation of coordinates to satisfy the involutivity conditions.
Feedback linearization
Linearization
Cite
Citations (13)
Feedback linearization
Linearization
Feedback Control
Cite
Citations (19)
For linear analytic systems, input-output linearization problem was already solved by Isidori, et al2) in terms of the nonlinear structure algorithm3). In this paper, we study the input-output linearization problem for general nonlinear system x=f(x, u), y=h(x).Firstly, we give a simple necessary and sufficient condition under which the input-output behavior is linear. The condition is trivial if the system is linear analytic system2). Secondly, the nonlinear structure algorithm is extended for general nonlinear systems. The extended algorithm yields necessary and sufficient conditions to be satisfied by plant for the input-output linearization via state feedback, whose proof provides a state feedback law.
Linearization
Feedback linearization
Cite
Citations (1)
Linearization is one of the most successful approaches nonlinear system control. The objective of this paper is to survey the recent results in linearization theory. It is hoped to be useful in understanding various linearization problems and challenging unsolved problems.
Linearization
Feedback linearization
Cite
Citations (2)
Linearization
Feedback linearization
Cite
Citations (8)
This paper addresses the problem of nonlinear electrical circuit input-output linearization. The transformation algorithms for linearization of nonlinear system through changing coordinates (local diffeomorphism) with the use of closed feedback loop together with the conditions necessary for linearization are presented. The linearization stages and the results of numerical simulations are discussed.
Linearization
Feedback linearization
Diffeomorphism
Electrical network
Cite
Citations (6)
In this paper, we consider a design method of approximate feedback linearization for nonlinear systems to which the exact linearization method is not applicable. We adopt a two-step procedure to solve the approximate linearization. First, a state transformation matrix is settled, so that the nonlinear system is transformed approximately into the controllable canonical form. Second, a standard nonlinear linearization method is used to transform the controllable canonical form into a stable linear system. Finally, the application of the proposed method to the ACROBOT, which is known as a system to which the exact linearization method cannot be applied, is shown to illustrate the effectiveness of the proposed method.
Linearization
Feedback linearization
Canonical form
Cite
Citations (16)
This paper addresses the problem of feedback linearization of nonlinear systems. The existing linearization methods require complete knowledge of the system model. A new method for feedback linearization, avoiding this requirement which is rarely satisfied in practice, is proposed. The method is based on artificial neural networks (ANNs). Simulation results show satisfactory performance when the proposed ANN-based feedback linearization is included in a tracking control system.
Feedback linearization
Linearization
Tracking (education)
Cite
Citations (0)
In this paper, a robust input-output linearization for time-varying nonlinear system is proposed. To this end, feedback linearization for the time-invariant nonlinear systems summarizes. Using the existing linearization, it isproposed the extended input-output linearization technique for time-varying nonlinear system. And the robust linearization for disturbance is proposed. This method is the linearization techniques for a time-invariant nonlinear system. An example of the proposed technique was verified. Keywords: Extended Input-Output Linearization, Robust Input-Output Linearization, Time-Varying Nonlinear System
Linearization
Feedback linearization
LTI system theory
Cite
Citations (0)