Min-max MPC for LPV systems subject to actuator saturation by a saturation-dependent Lyapunov function

In this paper, we present a model predictive control algorithm for input-saturated systems by a saturation-dependent Lyapunov function approach. The saturation-dependent Lyapunov function captures the real-time information on the severity of saturation and thus leads to less conservative results in...

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Bibliographic Details
Published inChinese Control Conference pp. 4087 - 4092
Main Authors Zhang, Langwen, Wang, Jingcheng, Li, Kang
Format Conference Proceeding
LanguageEnglish
Published TCCT, CAA 01.07.2013
Subjects
Actuator saturation
Actuators
Algorithm design and analysis
Heuristic algorithms
Linear parameter-varying
Lyapunov methods
Model Predictive Control
Prediction algorithms
Predictive control
Real-time systems
Saturation-dependent
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ISSN1934-1768

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Summary:In this paper, we present a model predictive control algorithm for input-saturated systems by a saturation-dependent Lyapunov function approach. The saturation-dependent Lyapunov function captures the real-time information on the severity of saturation and thus leads to less conservative results in controller design. A set invariance condition for the systems with input saturation is presented. A min-max MPC algorithm is proposed for the linear parameter-varying (LPV) systems based on the invariant set. The MPC controller is determined by solving a linear matrix inequality (LMI) optimization problem. Numerical example demonstrates the effectiveness of the proposed algorithm.
ISSN:1934-1768