Input-output finite-time stabilisation for periodic piecewise polynomial systems with nonlinear actuator faults: an observer-based approach

This paper is concerned with the input-output finite-time (IO-FT) stabilisation problem for a class of continuous-time periodic piecewise polynomial systems (PPPSs) with immeasurable states and external disturbances via state estimation-based robust reliable controller. Firstly, to reflect the actua...

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Veröffentlicht in:International journal of systems science Jg. 54; H. 16; S. 3027 - 3044
Hauptverfasser: Sakthivel, R., Aravinth, N., Satheesh, T., Kwon, O. M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Taylor & Francis 10.12.2023
Taylor & Francis Ltd
Schlagworte:
Actuators
Controllers
input-output finite-time stabilisation
Linear matrix inequalities
Mathematical analysis
nonlinear actuator faults
Nonlinear systems
observer-based control
Parameter uncertainty
Periodic piecewise polynomial systems
Polynomials
randomly occurring uncertainties
Randomness
Robust control
Stability
State estimation
ISSN:0020-7721, 1464-5319
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Zusammenfassung:This paper is concerned with the input-output finite-time (IO-FT) stabilisation problem for a class of continuous-time periodic piecewise polynomial systems (PPPSs) with immeasurable states and external disturbances via state estimation-based robust reliable controller. Firstly, to reflect the actuality, a parameter uncertainty that exhibits the random nature and the actuator faults with nonlinear character are considered in the addressed PPPSs and the control scheme, respectively. In detail, the randomness of uncertain parameters is portrayed by the stochastic variable and it is presumed to pursue the Bernoulli distributions. Secondly, to estimate the immeasurable states of PPPSs, a periodic piecewise polynomial observer is designed depending on the output of PPPSs. The main intent of this article is to devise a state estimation-based robust reliable controller to ascertain the IO-FT stabilisation of the PPPSs. Moreover, by bridging the Lyapunov stability theory, linear matrix inequality technique and IO-FT stability theory, the required IO-FT stabilisation conditions in the frame of linear matrix inequality are procured for the system under consideration. Eventually, simulation results of the addressed PPPSs are shown in line with the proposed analytical findings, revealing the competence, inherent capability and utility of the devised control protocol.
Bibliographie:ObjectType-Article-1
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2023.2268235