Computing controlled invariant sets for hybrid systems with applications to model-predictive control

Beno?t Legat; Paulo Tabuada; Rapha?l M. Jungers

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Computing controlled invariant sets for hybrid systems with applications to model-predictive control

机译：计算控制不变集，用于混合系统，应用于模型预测控制

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In this paper, we develop a method for computing controlled invariant sets using Semidefinite Programming. We apply our method to the controller design problem for switching affine systems with polytopic safe sets. The task is reduced to a semidefinite programming problem by enforcing an invariance relation in the dual space of the geometric problem. The paper ends with an application to safety critical model predictive control.

机译：在本文中，我们使用SEMIDEFINITE编程开发一种计算控制不变集的方法。我们将我们的方法应用于控制器设计问题，用于用多粒安全装置切换仿射系统。通过强制在几何问题的双色空间中强制执行不变关系，将该任务减少到半纤维编程问题。本文以安全为止临界模型预测控制的应用结束。

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《IFAC PapersOnLine》 |2018年第16期|共6页
作者
Beno?t Legat; Paulo Tabuada; Rapha?l M. Jungers;
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Controller SynthesisSet InvarianceLMIsScalable Methods;

机译：Controller Synthesisset InvariarcelMisscalable方法;

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专利

1. Sum-of-Squares methods for controlled invariant sets with applications to model-predictive control [J] . Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2020,第期

机译：具有模型预测控制的应用程序控制不变集的平方例方法
2. On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization [J] . LIAO Xiaoxin, FU Yuli, XIE Shengli Science in China. Series F, Information Sciences . 2005,第3期

机译：关于Lorenz混沌系统的全局吸引集和正不变集的新结果及其在混沌控制和同步中的应用
3. On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization [J] . LIAO Xiaoxin, FU Yuli, XIE Shengli Science in China, Series F. Information Sciences . 2005,第3期

机译：关于Lorenz混沌系统全局吸引集和正不变集的新结果及其在混沌控制和同步中的应用。
4. Computing controlled invariant sets for hybrid systems with applications to model-predictive control [C] . Benoit Legat, Paulo Tabuada, Raphael M. Jungers IFAC Conference on Analysis and Design of Hybrid Systems . 2018

机译：用于混合系统的计算机控制不变集，应用于模型预测控制
5. Application of model-predictive control to hybrid systems and batch processes [D] . Poloski, Adam Peter. 1999

机译：模型预测控制在混合系统和批处理过程中的应用
6. Set-based corral control in stochastic dynamical systems: Making almostinvariant sets more invariant [O] . Eric Forgoston, Lora Billings, Philip Yecko, -1

机译：随机动力系统中基于集合的畜栏控制：几乎不变集更不变
7. Computing controlled invariant sets for hybrid systems with applications to model-predictive control [O] . Benoît Legat, Paulo Tabuada, Raphaël M. Jungers 2018

机译：计算控制不变集，用于混合系统，应用于模型预测控制
8. Computing Controllable Sets of Hybrid Systems [R] . Collins, P. J. 2008

机译：计算混合系统的可控集

Computing controlled invariant sets for hybrid systems with applications to model-predictive control

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