Integrated PID-Based Sliding Mode State Estimation and Control for Piezoelectric Actuators

Peng, Jingfu; Chen, Daniel

doi:10.1109/tmech.2012.2222428

Cited by 85 publications

(56 citation statements)

References 28 publications

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“…(1) are not zero, which indicates that the traditional state tracking based SMC as shown in Ref. [7] are not applicable in this situation.…”

Section: Experiments and Resultsmentioning

confidence: 97%

“…For comparison, the continuous PID-based SMC introduced in Ref. [7] was also implemented on the PEA. The parameters of the PID regulator were adjusted by using the Ziegler-Nichols method, leading to P = 0.001, I = 1, and D = 0.0000001 for the 20,000 Hz sampling rate, P = 0.002, I = 0.6, and D = 0.0000001 for the 10,000 Hz sampling rate, and P = 0.0001, I = 0.03, and D = 0.0000001 for the 5,000 Hz sampling rate.…”

Section:  mentioning

confidence: 99%

“…The main problem is that it requires increasing sliding information in implementing the HOSMC [6]. Recently, a new continuous PID (proportional-integral-derivative)-based SMC was developed [7], in which the discontinuous 'bang-bang' switching function is replaced by a PID regulator in order to eliminate the chattering problem. Due to the integral effect of the PID regulator, the steady state tracking error can be eliminated.…”

Section: Introductionmentioning

confidence: 99%

“…[7] has been shown effective in the control of the second order mechanical systems, in which the states can be readily estimated from the measured output based on its physical model. In some applications, the system states may not be readily, or even be impossibly, obtained [8] due the system complexity.…”

Section: Introductionmentioning

confidence: 99%

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An Output Tracking Integrated Discrete PID-based Sliding Mode Control on SISO Systems

Cao¹,

Chen²

2015

JMEA

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SMC (sliding mode control) has been widely employed to compensate for the system uncertainty and disturbance. However, the chattering problem, caused by the discontinuous characteristic of switching function used in traditional SMC, greatly deteriorates the performance of SMC and has become the main limitation for its applications. Also, implementing the SMC in digital systems could make it even worse due to the limited sampling time. Moreover, as a state tracking control scheme, traditional SMC cannot be employed in the applications where the system states are not available. To alleviate these problems, the paper presents the development of a novel control method, so called "the output tracking integrated discrete PID (proportional-integral-derivative)-based SMC" for the SISO (single-input-single-output) system, along with the controller design approaches (i.e., the traditional SMC design approach and the model reference approach). Without the need of system states, this novel method allows for eliminating chattering problem and the steady state error that may exists in such control methods as the continuous PID-based SMC. In order to demonstrate the effectiveness of the developed method, experiments were carried out on a commercially available piezoelectric actuator with varying sampling times, as compared to the continuous PID-based SMC. The results illustrate that the tracking performance with the proposed method is much better than the continuous PID-based SMC.

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“…(1) are not zero, which indicates that the traditional state tracking based SMC as shown in Ref. [7] are not applicable in this situation.…”

Section: Experiments and Resultsmentioning

confidence: 97%

Section:  mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Output Tracking Integrated Discrete PID-based Sliding Mode Control on SISO Systems

Cao¹,

Chen²

2015

JMEA

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show abstract

“…Hence, many sophisticated methods have been proposed to reduce or eliminate the effect of chattering. One effective method is to select a suitable switching gain for the SMC law because an unsuitably large switching gain leads to large chattering; examples of methods employing this approach include the learning algorithm-based SMC scheme [15], [16], [18], adaptive SMC scheme [19], [20], and disturbance observer-based SMC control scheme. In [21], an SMC control methodology with an extended state observer is employed to estimate system disturbances and deliver disturbance estimations to the SMC controller for disturbance compensation.…”

Section: Introductionmentioning

confidence: 99%

Continuous Sliding Mode Control for Permanent Magnet Synchronous Motor Speed Regulation Systems Under Time-Varying Disturbances

Wang¹,

Li²,

Yang³

et al. 2016

Journal of Power Electronics

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This article explores the speed regulation problem of permanent magnet synchronous motor (PMSM) systems subjected to unknown time-varying disturbances. A continuous sliding mode control (CSMC) technique is introduced for the speed loop to enhance the robustness of PMSM systems and eliminate the chattering phenomenon caused by high-frequency switch function in the conventional control law. However, the high control gain of the CSMC law in the presence of strong disturbances leads to large steady-state speed fluctuations for PMSM systems. In many application fields, PMSM systems are affected by time-varying disturbances instead of constant disturbances. For example, electric bicycles are usually affected by changing environmental disturbances, including wind speeds, road conditions, etc. These disturbances may be in the form of constant, ramp, and parabolic disturbances. Hence, a generalized proportional integral (GPI) observer is employed to estimate these types of disturbances. Then, the disturbance estimation method and the aforementioned CSMC method are combined to establish a composite sliding mode control method called the CSMC+GPI method for the speed loop of PMSM systems. Contrary to the conventional sliding mode control technique, the proposed method completely eliminates the chattering phenomenon caused by the switching function in the conventional control law. Moreover, a small control gain for the CSMC+GPI method is chosen by feed-forwarding estimated values to the speed controller. Hence, the steady-state speed fluctuations are small. The effectiveness of the proposed control scheme is verified by simulation and experimental result.

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Linear Active Disturbance Rejection Control for Piezo-Fexural Nanopositioning Stage

Wei

et al. 2017

Lecture Notes in Electrical Engineering

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Integrated PID-Based Sliding Mode State Estimation and Control for Piezoelectric Actuators

Cited by 85 publications

References 28 publications

An Output Tracking Integrated Discrete PID-based Sliding Mode Control on SISO Systems

An Output Tracking Integrated Discrete PID-based Sliding Mode Control on SISO Systems

Continuous Sliding Mode Control for Permanent Magnet Synchronous Motor Speed Regulation Systems Under Time-Varying Disturbances

Linear Active Disturbance Rejection Control for Piezo-Fexural Nanopositioning Stage

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