Interval State Estimator Design for Linear Parameter Varying (LPV) Systems

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 68; no. 8; pp. 2865 - 2869
• Main Authors: Khan, Awais, Bai, Xiaoshan, Zhang, Bo, Yan, Peiguang
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Circuits and systems; cooperativity; Design methodology; Design parameters; Design standards; Disturbances; Estimation error; finite-time convergence; Interval state estimator; Linear systems; LPV systems; Observability; Observers; Parameter estimation; positive systems; System dynamics; Uncertainty
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2021.3057107

This brief proposes a new method to develop interval state estimator for a class of LPV systems subject to external disturbances and uncertainties. Usually, the design of such estimators is based on the system cooperativity. The proposed technique uses the previous input-output values and the observability matrix to develop an interval state estimator that can provide extra degree of freedom. The main advantage of the technique compared to the standard interval observer design method for cooperative and positive systems is that it does not require the cooperativity of the system dynamics. It is shown that the convergence time of the interval width is finite and hence proved that estimation errors are bounded. The interval state observation error bounds are calculated a-priori for the given bounded disturbances. A numerical example illustrates the high potential of the proposed technique.