Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics
In the present work the application of a new approach is demonstrated to a discrete-time state feedback regulator synthesis with feedback linearization and pole-placement for non-linear discrete-time systems. Under the simultaneous implementation of a non-linear coordinate transformation and a non-l...
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| Format: | Article |
| Language: | English |
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Association of Chemical Engineers of Serbia
2003-01-01
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| Series: | Hemijska Industrija |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0367-598X/2003/0367-598X0303120D.pdf |
| _version_ | 1818645922046803968 |
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| author | Dubljević Stevan |
| author_facet | Dubljević Stevan |
| author_sort | Dubljević Stevan |
| collection | DOAJ |
| description | In the present work the application of a new approach is demonstrated to a discrete-time state feedback regulator synthesis with feedback linearization and pole-placement for non-linear discrete-time systems. Under the simultaneous implementation of a non-linear coordinate transformation and a non-linear state feedback law computed through the solution of a system of non-linear functional equations, both the feedback linearization and pole-placement design objectives were accomplished. The non-linear state feedback regulator synthesis method was applied to a continuous stirred tank reactor (CSTR) under non-isothermal operating conditions that exhibits steady-state multiplicity. The control objective was to regulate the reactor at the middle unstable steady state by manipulating the rate of input heat in the reactor. Simulation studies were performed to evaluate the performance of the proposed non-linear state feedback regulator, as it was shown a non-linear state feedback regulator clearly outperformed a standard linear one, especially in the presence of adverse disturbance under which linear regulation at the unstable steady state was not feasible. |
| first_indexed | 2024-12-17T00:38:26Z |
| format | Article |
| id | doaj.art-3ea2633149e34079b959cfcae000630b |
| institution | Directory Open Access Journal |
| issn | 0367-598X |
| language | English |
| last_indexed | 2024-12-17T00:38:26Z |
| publishDate | 2003-01-01 |
| publisher | Association of Chemical Engineers of Serbia |
| record_format | Article |
| series | Hemijska Industrija |
| spelling | doaj.art-3ea2633149e34079b959cfcae000630b2022-12-21T22:10:06ZengAssociation of Chemical Engineers of SerbiaHemijska Industrija0367-598X2003-01-0157312012510.2298/HEMIND0303120DApplication of non-linear discretetime feedback regulators with assignable closed-loop dynamicsDubljević StevanIn the present work the application of a new approach is demonstrated to a discrete-time state feedback regulator synthesis with feedback linearization and pole-placement for non-linear discrete-time systems. Under the simultaneous implementation of a non-linear coordinate transformation and a non-linear state feedback law computed through the solution of a system of non-linear functional equations, both the feedback linearization and pole-placement design objectives were accomplished. The non-linear state feedback regulator synthesis method was applied to a continuous stirred tank reactor (CSTR) under non-isothermal operating conditions that exhibits steady-state multiplicity. The control objective was to regulate the reactor at the middle unstable steady state by manipulating the rate of input heat in the reactor. Simulation studies were performed to evaluate the performance of the proposed non-linear state feedback regulator, as it was shown a non-linear state feedback regulator clearly outperformed a standard linear one, especially in the presence of adverse disturbance under which linear regulation at the unstable steady state was not feasible.http://www.doiserbia.nb.rs/img/doi/0367-598X/2003/0367-598X0303120D.pdfNon-linear SystemsDiscrete-time systemsFeedback linearizationPole-placement |
| spellingShingle | Dubljević Stevan Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics Hemijska Industrija Non-linear Systems Discrete-time systems Feedback linearization Pole-placement |
| title | Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics |
| title_full | Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics |
| title_fullStr | Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics |
| title_full_unstemmed | Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics |
| title_short | Application of non-linear discretetime feedback regulators with assignable closed-loop dynamics |
| title_sort | application of non linear discretetime feedback regulators with assignable closed loop dynamics |
| topic | Non-linear Systems Discrete-time systems Feedback linearization Pole-placement |
| url | http://www.doiserbia.nb.rs/img/doi/0367-598X/2003/0367-598X0303120D.pdf |
| work_keys_str_mv | AT dubljevicstevan applicationofnonlineardiscretetimefeedbackregulatorswithassignableclosedloopdynamics |