Digital controller design for absolute value function constrained nonlinear systems via scalar sign function approach

Wu, Jian; Singla, Mithun; Olmi, Claudio; Shieh, Leang-San; Song, Gangbing

doi:10.1016/j.isatra.2010.03.005

Cited by 7 publications

(8 citation statements)

References 18 publications

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“…Theorem 1 Chaotic system (6) and parameter identification (16), for bounded initial conditions, the following conclusion was gotten:…”

Section: Stability Analysis Of the Systemmentioning

confidence: 94%

“…With the development of the theory and technology of chaos control, scholars have studied many methods for control and analysis chaotic system [15,16]. Such as the OGY is an effective way to control the chaotic motion, the subsequent period, there are variable structure control [17], entrainment and migration control, nonlinear feedback control [18], total sliding-mode control [19] and the backstepping nonlinear…”

Section: Introductionmentioning

confidence: 99%

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Control Chaos for Permanent Magnet Synchronous Motor Base on Adaptive Backstepping of Error Compensation

Chu¹,

Hu²

2016

IJCA

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“…Theorem 1 Chaotic system (6) and parameter identification (16), for bounded initial conditions, the following conclusion was gotten:…”

Section: Stability Analysis Of the Systemmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Control Chaos for Permanent Magnet Synchronous Motor Base on Adaptive Backstepping of Error Compensation

Chu¹,

Hu²

2016

IJCA

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“…As a consequent, according to the nonlinear state space model (10), the main control objective is to maintain the concentration of NH S in outflow below the desired level (4mg/L) despite the concentration of NH S previously in the reactor. By presenting the changing-over system, the nitrification and denitrification are gathered to get the nonlinear model (10), which is convenient to design the control law if model (10) is converted to a linear model.…”

Section: Modelingmentioning

confidence: 99%

“…By presenting the changing-over system, the nitrification and denitrification are gathered to get the nonlinear model (10), which is convenient to design the control law if model (10) is converted to a linear model.…”

Section: Modelingmentioning

confidence: 99%

“…Here, we consider the reaction processes of nitrification and denitrification in the bioprocess in order to get the simplified nonlinear model of ASM1, then the optimal linearization technique is applied, for finding a local optimal linear model that has the same dynamics of the original nonlinear model at the operation point of interest [10]. So we can design the optimal continuous-time controller (also is available for original nonlinear model) by LQR method [10][11][12]. For analysis, the hypothesis that the bioprocess is operated in a sequence of operating models [7] and the volume of reactor is a constant.…”

Section: Introductionmentioning

confidence: 99%

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Design of modified digital PWM controller for aeration in wastewater treatment process

Ding

Xie

2014

Proceedings of the 33rd Chinese Control Conference

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The activated sludge process (ASP) is widely used in many wastewater treatment p rocess (WWTP), which consists of a biological reactor and a sedimentation tank, and also is used to take the contaminant (substrate) away by means of activated sludge (microorganisms). The first part of this paper gets the simplified model of the activated sludge model No.1 (ASM 1), which contains the nitrification and denitrification. Because of the nonlinear nature of ASM 1, the optimal linearization technique is applied to it for finding a local optimal linear model, which has the same dynamics of the original nonlinear model at the operation point of interest. Then, a discrete-time optimal control law in pulse-amplitude-modulated (PAM ) is designed using linear quadratic regulator (LQR) method. For engineering implementation, a modified pulse-width-modulation (PWM ) method is proposed. At last, some simulations are made to demonstrate the effectiveness of the proposed control strategy , which can reduce the whole operational energy and spend less reaction time, comparing to M ulti-set point on/off control and PWM control techniques.

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Design of an Optimal Fuzzy Sliding Mode Control using Scalar Sign Function

Chaouech

Soltani

Dhahri

et al. 2016

Asian Journal of Control

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The purpose of this paper is to present a new design for an optimal fuzzy sliding mode control based on a modified parallel distributed compensator and using a scalar sign function method. The proposed fuzzy sliding mode control uses a modified parallel distributed compensator scheme to find the optimal gains. To do this, the control gains are not considered constant through the linearized subsystem. Among these, we find state feedback gains, which are determined in offline mode using some prescribed performance criteria. Moreover, the fuzzy sliding surface of the system is designed using a stable eigenvector and the scalar sign function. The advantages of the proposed design are minimum energy control effort, faster response, and zero steady‐state error. We analyze and test the performance and stability of the new optimal fuzzy sliding mode control using simulation results that show that the proposed approach is very effective.

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Digital controller design for absolute value function constrained nonlinear systems via scalar sign function approach

Cited by 7 publications

References 18 publications

Control Chaos for Permanent Magnet Synchronous Motor Base on Adaptive Backstepping of Error Compensation

Control Chaos for Permanent Magnet Synchronous Motor Base on Adaptive Backstepping of Error Compensation

Design of modified digital PWM controller for aeration in wastewater treatment process

Design of an Optimal Fuzzy Sliding Mode Control using Scalar Sign Function

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