A Relaxed Observer-Based Control for LPV Stochastic Systems Subject to H∞ Performance

A relaxed observer-based control problem of the disturbed Linear Parameter Varying (LPV) stochastic systems is addressed in this paper. For the control problem, some sufficient conditions are derived via a Lyapunov function whose positive definite matrix is not required as the diagonal case. Besides...

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Vydáno v:International journal of control, automation, and systems Ročník 18; číslo 4; s. 1033 - 1044
Hlavní autoři: Chen, Guan-Wei, Ku, Cheung-Chieh
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.04.2020
Springer Nature B.V
제어·로봇·시스템학회
Témata:
Algorithms
Computational geometry
Control
Control stability
Control systems design
Controllers
Convexity
Engineering
H-infinity control
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Mechatronics
Optimization
Performance indices
Robotics
Stochastic systems
제어계측공학
performance
LPV system
observer-based control
multiplicative noise
Gain scheduled control
ISSN:1598-6446, 2005-4092
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Popis
Shrnutí:A relaxed observer-based control problem of the disturbed Linear Parameter Varying (LPV) stochastic systems is addressed in this paper. For the control problem, some sufficient conditions are derived via a Lyapunov function whose positive definite matrix is not required as the diagonal case. Besides, a general H ∞ performance index is proposed to constrain the effect of external disturbance on the state and estimation error. Furthermore, a lemma is proposed to eliminate the oscillation caused by determining performance level of state and estimation error. Another lemma is developed via extending projection lemma to convert the derived conditions into strict Linear Matrix Inequality (LMI) form. By using convex optimization algorithm, all feasible solutions can be obtained by a single-step calculation to establish an observer-based Gain-Scheduled (GS) controller. Based on the designed controller, the asymptotical stability and H ∞ performance of the LPV stochastic systems can be guaranteed in the sense of mean square. Finally, two examples are provided to demonstrate the effectiveness and applicability of the proposed method.
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http://link.springer.com/article/10.1007/s12555-018-0948-2
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0948-2