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Multi-model predictive control with local constraints based on model switching

控制理论与应用（英文版） 2005年第2期3卷 150-156页

作者： Zhenkuang XUE Shaoyuan LI Institute of Automation Shanghai JiaoTong University Shanghai 200030 China

Because model switching system is a typical form of Takagi-Sugeno（T-S） model which is an universal approximator of continuous nonlinear systems, we describe the model switching system as mixed logical dynamical （MLD） system and use it in model predictive control （MPC） in this paper. Considering that each local model is only valid in each local region,we add local constraints to local models. The stability of proposed multi-model predictive control （MMPC） algorithm is analyzed, and the performance of MMPC is also demonstrated on an inulti-multi-output（MIMO） simulated pH neutralization process.

关键词： Multi-model predictive control local constraints Mixed logical dynamical system Stability

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Distributed Nash equilibrium seeking for non-cooperative convex games with local constraints

Distributed Nash equilibrium seeking for non-cooperative con...

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第40届中国控制会议

作者： Fei Liu Qing Wang Yongzhao Hua Xiwang Dong Zhang Ren School of Automation Science and Electrical Engineering Science and Technology on Aircraft Control LaboratoryBeihang University Institute of Artificial Intelligence Beihang University

This paper considers the problem of Nash equilibrium seeking in non-cooperative convex games subjected to local constraints including both equality and inequality constraints. Each player in the game is individually associated with a local objective function, which is coupled with the actions of the other players. The players cannot observe the actions of the players that are not their neighbors. Instead, the players are capable of exchanging information of actions via an undirected and connected communication graph. Thus, a leader-following consensus-based estimation of actions of the players is conducted. Furthermore, a Nash equilibrium seeking algorithm is proposed. Stability analysis by means of continuous time Lyapunov approach is presented and it is shown that the algorithm is capable of achieving global convergence to the Nash equilibrium. A numerical example is given to verify the effectiveness of the results of the paper.

关键词： Leader-following consensus Nash equilibrium non-cooperative games local constraints

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