Lecturers: Emilia Fridman (School of Electrical Engineering, Tel Aviv University, Israel) and Pierdomenico Pepe (Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, Italy)
When: February, 5th–9th, 2017
Title: Time‐Delay and Sampled‐Data Systems
Abstract of the course: Time‐delay appears naturally in many control systems. It is frequently a source of instability although, in some systems, it may have a stabilizing effect. A time‐delay approach to sampled‐ data control, which models the closed‐loop system as continuous‐time with delayed input/output, has become popular in networked control systems (where the plant and the controller exchange data via communication network). The beginning of the 21st century can be characterized as the “time‐delay boom” leading to numerous important results. The aim of this course is to give an introduction to systems affected by time‐delays, in both the linear and the nonlinear framework. The emphasis of the course is on the Lyapunov‐based analysis and design for time‐delay, sampled‐data and networked control systems.
Topics: Models of systems with time‐delay and basic theory. Sampled‐data and networked‐control systems. LTI systems with delay: characteristic equation. Stability and performance analysis. Direct Lyapunov approach: Krasovskii and Razumikhin methods. An LMI approach to stability and performance. Control design: predictor‐based control, LQR problem. LMI approach to robust stabilization and H infinity control. Systems with saturated actuators. Discrete‐time delay systems. Sampled‐data and networked control systems: a time‐delay approach. Nonlinear retarded systems with inputs: basic theory, stability, input‐to‐state stability. Stabilization by means of control Lyapunov‐Krasovskii functionals. Universal stabilizers. Sampled‐data stabilization of nonlinear retarded systems.
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