Switching Perfect Control Algorithm
The application of the switching control framework to the perfect control algorithm is presented in this paper. Employing the nonunique matrix inverses, the different closed-loop properties are obtained and further enhanced with possible switching methodology implementation. Simulation examples perf...
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| Veröffentlicht in: | Symmetry (Basel) Jg. 12; H. 5; S. 816 |
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| Sprache: | Englisch |
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MDPI AG
01.05.2020
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| Abstract | The application of the switching control framework to the perfect control algorithm is presented in this paper. Employing the nonunique matrix inverses, the different closed-loop properties are obtained and further enhanced with possible switching methodology implementation. Simulation examples performed in the MATLAB/Simulink environment clearly show that the new framework can lead to benefits in terms of the control energy, speed, and robustness of the perfect control law. The possibility of transferring the new obtained results to the symmetrical nonlinear plants seems to be immediate. |
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| AbstractList | The application of the switching control framework to the perfect control algorithm is presented in this paper. Employing the nonunique matrix inverses, the different closed-loop properties are obtained and further enhanced with possible switching methodology implementation. Simulation examples performed in the MATLAB/Simulink environment clearly show that the new framework can lead to benefits in terms of the control energy, speed, and robustness of the perfect control law. The possibility of transferring the new obtained results to the symmetrical nonlinear plants seems to be immediate. The application of the switching control framework to the perfect control algorithm is presented in this paper. Employing the nonunique matrix inverses, the different closed-loop properties are obtained and further enhanced with possible switching methodology implementation. Simulation examples performed in the MATLAB/Simulink environment clearly show that the new framework can lead to benefits in terms of the control energy, speed, and robustness of the perfect control law. The possibility of transferring the new obtained results to the symmetrical nonlinear plants seems to be immediate. Keywords: multivariable perfect control; switching control; MIMO; nonunique inverses |
| Audience | Academic |
| Author | Feliks, Tomasz Hunek, Wojciech P. Krok, Marek |
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| Cites_doi | 10.3390/sym12030406 10.1016/j.automatica.2015.11.038 10.1007/978-3-319-01857-7 10.3390/sym11121444 10.1007/s00521-009-0284-9 10.3182/20110828-6-IT-1002.02482 10.3390/sym11101322 10.3390/sym10100488 10.1201/9781315137667 10.23919/IConAC.2018.8748977 10.1109/CoDIT.2017.8102564 10.1109/CoDIT.2018.8394774 |
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| References | Burns (ref_5) 2012; 3 Hunek (ref_10) 2019; 233 ref_14 Piskorowski (ref_22) 2009; 56 ref_12 ref_11 Petre (ref_4) 2009; 19 Hunek (ref_20) 2011; 59 ref_1 Bartoszewicz (ref_19) 2013; 61 ref_3 ref_2 ref_18 ref_16 ref_15 ref_9 Haidegger (ref_6) 2011; 44 ref_8 Orlowski (ref_21) 2007; 53 ref_7 Noueili (ref_13) 2018; 4 Edwards (ref_17) 2016; 65 |
| References_xml | – ident: ref_1 doi: 10.3390/sym12030406 – volume: 65 start-page: 183 year: 2016 ident: ref_17 article-title: Adaptive continuous higher order sliding mode control publication-title: Automatica doi: 10.1016/j.automatica.2015.11.038 – volume: 61 start-page: 885 year: 2013 ident: ref_19 article-title: Sliding mode control of periodic review perishable inventories with multiple suppliers and transportation losses publication-title: Bull. Pol. Acad. Sci. Tech. Sci. – ident: ref_8 – ident: ref_3 doi: 10.1007/978-3-319-01857-7 – volume: 3 start-page: 63 year: 2012 ident: ref_5 article-title: Study of the Impact of Delay on Human Remote Navigators with Application to Receding Horizon Control publication-title: Paladyn J. Behav. Robot. – ident: ref_18 doi: 10.3390/sym11121444 – volume: 19 start-page: 169 year: 2009 ident: ref_4 article-title: Neural networks-based adaptive control for a class of nonlinear bioprocesses publication-title: Neural Comput. Appl. doi: 10.1007/s00521-009-0284-9 – volume: 44 start-page: 3759 year: 2011 ident: ref_6 article-title: Cascade Control for Telerobotic Systems Serving Space Medicine publication-title: IFAC Proc. Vol. doi: 10.3182/20110828-6-IT-1002.02482 – ident: ref_12 – volume: 56 start-page: 102 year: 2009 ident: ref_22 article-title: The Reduction of the Duration of the Transient Response in a Class of Continuous-Time LTV Filters publication-title: IEEE Trans. Circuits Syst. Ii: Express Briefs – ident: ref_11 – volume: 233 start-page: 779 year: 2019 ident: ref_10 article-title: A study on a new criterion for minimum-energy perfect control in the state-space framework publication-title: Proc. Inst. Mech. Eng. Part J. Syst. Control. Eng. – ident: ref_16 doi: 10.3390/sym11101322 – volume: 53 start-page: 44 year: 2007 ident: ref_21 article-title: Applications of SVD-DFT decomposition. Part 2: Feedback stability analysis for time-varying systems publication-title: Meas. Autom. Monit. – ident: ref_14 doi: 10.3390/sym10100488 – volume: 4 start-page: 1 year: 2018 ident: ref_13 article-title: New Iterative Learning Control Algorithm Using Learning Gain Based on σ Inversion for Nonsquare Multi-Input Multi-Output Systems publication-title: Model. Simul. Eng. – ident: ref_7 doi: 10.1201/9781315137667 – ident: ref_15 doi: 10.23919/IConAC.2018.8748977 – ident: ref_2 doi: 10.1109/CoDIT.2017.8102564 – ident: ref_9 doi: 10.1109/CoDIT.2018.8394774 – volume: 59 start-page: 201 year: 2011 ident: ref_20 article-title: Pole-free vs. stable-pole designs of minimum variance control for nonsquare LTI MIMO systems publication-title: Bull. Pol. Acad. Sci. Tech. Sci. |
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| SubjectTerms | Algorithms Closed loop systems Computer based research Computer simulation Control algorithms Control theory Design Eigenvalues Energy Robust control Switching Switching theory |
| Title | Switching Perfect Control Algorithm |
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