Introduction to Control Systems

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Introduction to Control SystemsToshiyuki OhtsukaDepartment of Systems ScienceGraduate School of InformaticsKyoto UniversityNeurIPS2021 TutorialReal-Time Optimization for Fast and Complex Control SystemsPart 1Goal of This Tutorial To help researchers and engineers in the field of machine learning tackle problems in Control Systems Control Systems involve real-time decision making: a kind of artificial intelligence Overview of Control theorythat may be helpful for proper use of machine learning Primary focus: model predictive Control (MPC)based on real-time optimization. MPC can address various Control problems beyond such traditional Control objectives as regulation and 1: Introduction to Control SystemsPart 2: Optimal Control and Model Predictive ControlPart 3: Real-Time Optimization for Model Predictive ControlPart 4: Advanced Topics in Model Predictive Control3Outline of Part 1 What is Control system ?

Stability can be checked without solving differential equations! S. Boyd, et al.: Linear Matrix Inequalities in Systems and Control Theory, SIAM (1994) D. Henrion, A. Garulli (Eds.): Positive Polynomials in Control, Springer (2005) 17

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