Conference Paper

# A parameter-dependent Lyapunov function based approach to H∞-control of LPV discrete-time systems with delays

Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China

DOI: 10.1109/CDC.2008.4738738 Conference: Decision and Control, 2008. CDC 2008. 47th IEEE Conference on, At Cancun, Mexico, Volume: pp. 4669-4674 Source: DBLP

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**ABSTRACT:**This paper is concerned with the design of a gain-scheduled controller with guaranteed L2 performance for the water level control of a nuclear steam generator which has parameter varying dynamics. The proposed controller guarantees both stability and a prescribed L2 performance in the entire operating region. The systematical design method for the controller which is automatically adjusted along the reactor power, in terms of Linear Matrix Inequalities (LMIs), is shown. The main benefit of this method is to avoid most of difficulties such as gain-interpolation or griding technique in a classical gain scheduling control. The computer simulation demonstrates the effectiveness of the proposed controller in full operating range and its superiority to conventional PID controllers. ©Annals of Nuclear Energy 01/1999; 26(10):905-916. · 1.02 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A robust control approach has been used to design gain-scheduled controllers, which guarantee closed-loop stability and performance. The inherent conservatism of robust control results in smaller ranges of parameters that satisfy the design criteria and consequently in degraded performance. The main focus of this paper is to reduce the conservatism to enhance the efficiency of the robust design method. Two approaches, the use of parameter-dependent Lyapunov condition and calculation of saturation factor bounds, are proposed to reduce the conservatism of the controller design.International Journal of Control 07/2004; 77(11):1050-1061. · 1.14 Impact Factor -
##### Conference Paper: Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation

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**ABSTRACT:**A set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling controller is then designed to further improve the closed-loop performance. Numerical examples are presented to demonstrate the effectiveness of the proposed analysis and design method.American Control Conference, 2002. Proceedings of the 2002; 02/2002

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