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Dual estimation and combination of state and output feedback based robust adaptive NMBC control scheme on non-linear process

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Abstract

A robust adaptive non-linear model based control schemes have been carried out in this work. The control strategy has been implemented on various benchmark non-linear processes. The servo performance of the proposed control schemes were found satisfactory. In order to improve regulatory performance, both model state(s) and parameter(s) have been estimated on-line sequentially with the help of a derivative free Kalman filter and the predicted values of model state(s) have been used to formulate proposed control law. The performances and superiority of the proposed control schemes have been discussed and compared with conventional adaptive PI control scheme. From the extensive simulation studies, it can be concluded that proposed control schemes implemented on the non-linear processes are having better performance and goodness over conventional adaptive PI control scheme. It was also observed that proposed control schemes are able to eliminate measurement noise and also having good robustness features.

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Abbreviations

AUKF :

Augmented unscented Kalman filter

CSTR :

Continuous stirred tank reactor

CA-PI :

Conventional adaptive proportional and integral

DUKF :

Dual unscented Kalman filter

EKF :

Extended Kalman filter

GS :

Gain-scheduled

ISE :

Integral squared error

MBC :

Model based control

MPC :

Model predictive control

MRAC :

Model reference adaptive control

NIMC :

Non-linear internal model based control

NMBC :

Non-linear model based control

NMPC :

Non-linear model predictive control

NN :

Neural network

IMC :

Internal model control

PID :

Proportional integral derivative

PS1 :

Proposed scheme1

PS2 :

Proposed scheme2

PS3 :

Proposed scheme3

STR :

Self-tuning regulator

TV :

Total variation

UKF :

Unscented Kalman filter

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Institute of Engineering and Management, Salt Lake, Kolkata, India

    Atanu Panda

  2. Department of Electronics and Communication Engineering, Netaji Subhash Engineering College, Garia, Kolkata, India

    Shinjinee Goswami

  3. Department of Chemical Engineering, CSIR-Central Leather Research Institute, Chennai, India

    Rames C. Panda

Authors
  1. Atanu Panda
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  2. Shinjinee Goswami
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  3. Rames C. Panda
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Correspondence to Atanu Panda.

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Panda, A., Goswami, S. & Panda, R.C. Dual estimation and combination of state and output feedback based robust adaptive NMBC control scheme on non-linear process. Int. J. Dynam. Control 7, 725–743 (2019). https://doi.org/10.1007/s40435-018-0474-3

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