Abstract
Unstable processes are challenging to control because they have one or more positive poles that produce unrestrained dynamic activity. Controlling such unstable plants becomes more challenging with the occurrence of the delay. This article presents a novel direct synthesis based sliding mode controller design for unstable second order plus dead-time processes. A sliding surface with three parameters has been considered. The continuous control law, which is responsible for maintaining the system mode to the desired sliding surface mode, has been obtained using the direct synthesis approach. The discontinuous control law parameters have been obtained using the differential evolution optimization technique. A desired reference model is considered for the direct synthesis method, and an objective function is constituted in terms of performance measure (integral absolute error) and control effort measure (total variation of controller output) for the optimization approach. Illustrative examples show the superiority of the proposed controller design method over recently reported literature, especially in terms of load rejection. The proposed controller approach is further extended to control the temperature of a nonlinear chemical reactor. Furthermore, the robustness of the proposed controller is also investigated for plant parametric uncertainty.
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Research ethics: Not applicable.
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Author contribution: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: We have no conflict of competing interests.
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Research funding: None declared.
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Data availability: Not applicable.
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- Removal efficiency of organic chloride from naphtha fraction using micro and nano-γ-Al2O3 sintered adsorbents
- Energy, exergy, and economic analyses and optimization of a deethanizer tower of a petrochemical plant
- Solar driven desalination system for power and desalination water production by concentrated PVT and MED system
- Energy and exergy analysis of primary steam superheating effects on the steam ejector applied in the solar renewable refrigeration cycle in the presence of spontaneous nucleation
- Numerical investigation of the effects of dry gas model and wet steam model in solar-driven refrigeration ejector system
- Numerical investigation of different biomass feedstock on syngas production using steam gasification and thermodynamic analysis
- Numerical and experimental study of the baffle-based split and recombine chamber (B-SARC) micromixers
- Direct synthesis based sliding mode controller design for unstable second order with dead-time processes with its application on continuous stirred tank reactor
- Classification and authentication of operating conditions in different processes using Partial Least Squares
- Enhancing heat exchanger efficiency with novel perforated cone-shaped turbulators and nanofluids: a computational study
Articles in the same Issue
- Frontmatter
- Research Articles
- Removal efficiency of organic chloride from naphtha fraction using micro and nano-γ-Al2O3 sintered adsorbents
- Energy, exergy, and economic analyses and optimization of a deethanizer tower of a petrochemical plant
- Solar driven desalination system for power and desalination water production by concentrated PVT and MED system
- Energy and exergy analysis of primary steam superheating effects on the steam ejector applied in the solar renewable refrigeration cycle in the presence of spontaneous nucleation
- Numerical investigation of the effects of dry gas model and wet steam model in solar-driven refrigeration ejector system
- Numerical investigation of different biomass feedstock on syngas production using steam gasification and thermodynamic analysis
- Numerical and experimental study of the baffle-based split and recombine chamber (B-SARC) micromixers
- Direct synthesis based sliding mode controller design for unstable second order with dead-time processes with its application on continuous stirred tank reactor
- Classification and authentication of operating conditions in different processes using Partial Least Squares
- Enhancing heat exchanger efficiency with novel perforated cone-shaped turbulators and nanofluids: a computational study