1. Introduction
Disturbing dynamic systems on a regular basis can have a significant impact on their performance and stability. Disturbance rejection control techniques seek to mitigate the impact of disturbances while preserving desirable system behavior. This chapter delves further into the definition, goals, control mechanisms, and applications of disturbance rejection control. The theoretical foundations and practical applications of various disturbance rejection control systems are also discussed, with an emphasis on the importance of robustness and adaptability. Any dynamic system will experience disturbances, which can be caused by both internal and external uncertainties. These disruptions have a substantial impact on the system’s performance and can cause it to deviate from target setpoints or trajectories [1]. Disturbance rejection control strategies are used to lessen the effects of disturbances and preserve desirable system behavior. An overview of disturbance rejection control and its significance in many applications will be given in this introduction. This chapter concludes by summarizing the prospects for the future of this field and prospective future research endeavors.
2. Objectives and definition
Disturbance rejection control is a subfield of control engineering that aims to reduce the impact of disturbances on the output or performance of the system [2]. In the face of disturbances, the major goal of disturbance rejection control is to keep the system stable, accurate, and resilient. The control system strives to make sure that the output closely resembles the desired reference signal or trajectory, even in the presence of disturbances, by actively compensating for them [3].
3. Types of disturbances
Depending on the characteristics of the system and its surroundings, disturbances can take many distinct forms. Internal and external disturbances are two major groups into which they might be divided. External disturbances come from the environment and can be caused by things like temperature fluctuations, wind loads, or adjustments to the input signals [4]. On the other side, internal disturbances result from uncertainties within the system itself, such as parameter changes, sensor noise, or model errors [5, 6].
4. Techniques for disturbance rejection control
To reject disturbances and preserve desirable system performance, a variety of control strategies are used. Among the methods that are frequently utilized are:
4.1 Feedforward control
This technique uses an estimated disturbance model and a compensating control action to mitigate the effects of the disturbance before they have an impact on the system output. This method works best when the disturbance can be precisely quantified or predicted in advance [7, 8, 9, 10, 11].
4.2 Feedback control
The classic strategy of feedback control compares the system’s output continually to the intended reference signal and modifies the control action to minimize error. Feedback control aids in making up for disturbances that cannot be precisely predicted or measured in advance [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28].
4.3 Adaptive control
Adaptive control approaches modify the control action in response to shifting system dynamics and disturbance characteristics by using online parameter estimation and adaptation algorithms. In situations when the system parameters or disturbance characteristics change over time, adaptive control is especially helpful [29, 30, 31, 32, 33, 34].
5. Robustness and adaptability
Techniques for disturbance rejection control must be resilient and adaptable to provide efficient disturbance compensation. The term “robustness” describes a system’s capacity to continue operating consistently and accurately in the face of unknowns and interruptions. Robust design methodologies and uncertainty modeling are used into robust control algorithms to ensure stability and performance guarantees even when disturbances are greater than expected [12].
A control system’s adaptability is its capacity to change its structure or parameters in response to varying environmental factors. Using adaptive control techniques, the system may continually estimate and update the properties of the disturbance and modify the control action as necessary. In the face of time-varying disturbances or shifting system dynamics, this adaptability aids in maintaining system performance [7].
6. Applications
Disturbance rejection control is used in a variety of industries, including process, manufacturing, robotics, and aerospace.
6.1 Aerospace
Disturbance rejection management is essential in aerospace applications for stabilizing aircraft during turbulence and fending off outside disturbances like wind gusts. By successfully adjusting for disturbances that impact the aircraft’s trajectory and performance, it provides safe and stable flight [35].
6.2 Robotics
In order to maintain exact positioning and tracking of robotic arms in the face of external forces, uncertainties, or disturbances, disturbance rejection control is crucial. It makes it possible for robots to complete jobs reliably and precisely even in changing environments [35].
6.3 Manufacturing
To obtain accurate control of diverse operations, disturbance rejection control is used in manufacturing processes. For instance, disturbance rejection control in CNC machining helps maintain precise tool positioning and tracking by adjusting for outside influences or uncertainties that can impair the quality of the cutting [36].
6.4 Process industries
Maintaining product quality and stability is crucial in process industries, such as chemical plants, therefore, disturbance rejection control is essential. In order to maintain constant process performance and product quality, it enables the control system to account for disturbances, variations in input parameters, or uncertainties [17].
7. Motivation for this book
Disturbance rejection control is a fundamental aspect of control engineering that addresses the challenges posed by disturbances in dynamic systems. By employing various control techniques such as feedforward, feedback, and adaptive control, disturbance rejection control mitigates the effects of disturbances and ensures stable system behavior. The robustness and adaptability of control algorithms are essential to handle uncertainties and changing conditions effectively. Disturbance rejection control has broad applications in aerospace, robotics, manufacturing, and process industries, enabling systems to operate reliably and achieve desired performance even in the presence of disturbances. Future research in this field should focus on developing advanced disturbance modeling techniques, robust control algorithms, and adaptive strategies to enhance disturbance rejection capabilities and address emerging challenges.
References
- 1.
Astrom KJ, Wittenmark B. Adaptive Control. New York: Dover Publications; 2013 - 2.
Chen W, Francis B. Optimal Robust Control: Linear Matrix Inequalities in Control. The Netherlands: Dover Publications; 2005 - 3.
Miyamoto K, Nakano S, She J, Sato D, Chen Y, Han QL. Design method of tuned mass damper by linear-matrix-inequality-based robust control theory for seismic excitation. Journal of Vibration and Acoustics. 2022; 144 (4):041008 - 4.
Goodwin GC, Graebe SF, Salgado ME. Control System Design. Australia: Prentice Hall; 2013 - 5.
Dorato P. Disturbance rejection in nonlinear control systems. Automatica. 1981; 17 (5):693-699 - 6.
Wood AJ, Wollenberg BF, Sheblé GB. Power Generation, Operation, and Control. USA: John Wiley & Sons; 2013 - 7.
Shamsuzzoha M, Raja GL. Introductory chapter: PID-based industrial process control. In: PID Control for Linear and Nonlinear Industrial Processes. London, UK: IntechOpen; 2023 - 8.
Mehta U, Aryan P, Raja GL. Tri-parametric fractional-order controller Design for Integrating Systems with time delay. IEEE Transactions on Circuits and Systems II: Express Briefs. 2023. DOI: 10.1109/TCSII.2023.3269819 [In press] - 9.
Kumar D, Raja GL, Arrieta O, Vilanova R. Fractional-order model identification and indirect internal model controller design for higher-order processes. In: Proceedings of IFAC World Congress. Yokohama, Japan: Japan IFAC-PapersOnLine; 2023 - 10.
Shamsuzzoha M, Lee M. IMC-PID controller design for improved disturbance rejection of time-delayed processes. Industrial & Engineering Chemistry Research. 2007; 46 (7):2077-2091 - 11.
Dudhe S, Raja GL, Dheer DK. Modeling and control of suction pressure in portable meconium aspirator system using fractional order IMC PID controller and RDR techniques. In: Materials Today: Proceedings. Meerut, India: Elsevier; 2023. DOI: 10.1016/j.matpr.2023.01.404 [In press] - 12.
Raja GL. Robust I-PD controller design with case studies on boiler steam drum and bioreactor. In: 2023 15th International Conference on Computer and Automation Engineering (ICCAE). Sydney, Australia: IEEE; 2023. pp. 486-491 - 13.
Aryan P, Raja GL, Vilanova R, Meneses M. Repositioned internal model control strategy on time-delayed industrial processes with inverse behavior using equilibrium optimizer. IEEE Access. 2023; 11 :54556-54568. DOI: 10.1109/ACCESS.2023.3281691 - 14.
Aryan P, Raja GL, Vilanova R. Experimentally verified optimal bi-loop re-located IMC strategy for unstable and integrating systems with dead time. International Journal of Systems Science. 2023; 54 (7):1531-1549. DOI: 10.1080/00207721.2023.2180782 - 15.
Das D, Chakraborty S, Raja GL. Enhanced dual-DOF PI-PD control of integrating-type chemical processes. International Journal of Chemical Reactor Engineering. 2022. DOI: 10.1515/ijcre-2022-0156 [In press] - 16.
Mukherjee D, Raja GL, Kundu P, Ghosh A. Improved fractional augmented control strategies for continuously stirred tank reactors. Asian Journal of Control. 2023; 25 (3):2165-2182 - 17.
Raja GL, Ali A. New PI-PD controller design strategy for industrial unstable and integrating processes with dead time and inverse response. Journal of Control, Automation and Electrical Systems. 2021; 32 (2):266-280 - 18.
Kumari S, Aryan P, Raja GL. Design and simulation of a novel FOIMC-PD/P double-loop control structure for CSTRs and bioreactors. International Journal of Chemical Reactor Engineering. 2021; 19 (12):1287-1303 - 19.
Kumar D, Aryan P, Raja GL. Design of a novel fractional-order internal model controller-based smith predictor for integrating processes with large dead-time. Asia-Pacific Journal of Chemical Engineering. 2022; 17 (1):e2724 - 20.
Kumar D, Raja GL. Unified fractional indirect IMC-based hybrid dual-loop strategy for unstable and integrating type CSTRs. International Journal of Chemical Reactor Engineering. 2022; 21 (3):251-272 - 21.
Kumar D, Aryan P, Raja GL. Decoupled double-loop FOIMC-PD control architecture for double integral with dead time processes. The Canadian Journal of Chemical Engineering. 2022; 100 (12):3691-3703 - 22.
Aryan P, Raja GL. A novel equilibrium optimized double-loop control scheme for unstable and integrating chemical processes involving dead time. International Journal of Chemical Reactor Engineering. 2022; 1 :20 - 23.
Kumari S, Aryan P, Kumar D, Raja GL. Hybrid dual-loop control method for dead-time second-order unstable inverse response plants with a case study on CSTR. International Journal of Chemical Reactor Engineering. 2022; 1 :11 - 24.
Raja GL, Ali A. Series cascade control: An outline survey. In: 2017 Indian Control Conference (ICC). Guwahati, India: IEEE; 2017. pp. 409-414 - 25.
Raja GL, Ali A. Modified parallel cascade control strategy for stable, unstable and integrating processes. ISA Transactions. 2016; 65 :394-406 - 26.
Raja GL, Ali A. Enhanced tuning of smith predictor based series cascaded control structure for integrating processes. ISA Transactions. 2021; 114 :191-205 - 27.
Raja GL, Ali A. Smith predictor based parallel cascade control strategy for unstable and integrating processes with large time delay. Journal of Process Control. 2017; 52 :57-65 - 28.
Aryan P, Raja G. Equilibrium-optimized IMC-PD double-loop control strategy for industrial processes with dead time. In: Recent Advances in Mechanical Engineering. Singapore: Springer; 2023. pp. 37-50 Engineering Science, 232, 116322 - 29.
Anandh P, Aryan NK, Raja GL. Type-2 fuzzy-based branched controller tuned using arithmetic optimizer for load frequency control. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects. 2022; 44 (2):4575-4596. DOI: 10.1080/15567036.2022.2078444 - 30.
Aryan P, Raja GL. Analysis of type-2 fuzzy I λ D μ-P controller for LFC with communication delay. In: 2022 IEEE Global Conference on Computing, Power and Communication Technologies (GlobConPT). IEEE; Sep 2022. pp. 1-7 - 31.
Ahmad S, Ali A. On active disturbance rejection control in presence of measurement noise. IEEE Transactions on Industrial Electronics. 2021; 69 (11):11600-11610 - 32.
Anand A, Kumari N, Aryan P, Raja GL. EO optimized novel Type-2 fuzzy ID-P controller for LFC of deregulated multi-area power system with robust stability analysis. In: IEEE Second International Conference on Power, Control and Computing Technologies ICPC2T. Chhattisgarh: NIT Raipur; 2022. DOI: 10.1109/ICPC2T53885.2022.9776841 - 33.
Aryan P, Raja GL. Restructured LFC scheme with renewables and EV penetration using novel QOEA optimized parallel fuzzy I-PID controller. IFAC-PapersOnLine. 2022; 55 (1):460-466. DOI: 10.1016/j.ifacol.2022.04.076 - 34.
Aryan P, Raja GL. Design and analysis of novel QOEO optimized parallel fuzzy FOPI-PIDN controller for restructured AGC with HVDC and PEV. IJST Transactions of Electrical Engineering. 2022; 46 (2):565-587. DOI: 10.1007/s40998-022-00484-7 - 35.
Niku SB. Introduction to Robotics: Analysis, Control, Applications. USA: John Wiley & Sons; 2020 - 36.
Vilanova R, Visioli A. PID Control in the Third Millennium. London: Springer; 2012