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Introduction to Control Systems

Introduction to Control SystemsToshiyuki OhtsukaDepartment of Systems ScienceGraduate School of InformaticsKyoto UniversityNeurIPS2021 TutorialReal-Time Optimization for Fast and Complex Control SystemsPart 1 Goal 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 Control3 Outline 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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