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GRASP Special Seminar: Sergio Pequito, Carnegie Mellon University, "A Framework For Structural Input/Output And Control Configuration Selection Of Large-Scale Systems"
Presenter: Sérgio Pequito (Homepage)
Thursday March 13, 2014 from 11:00am to 12:00pm
* Alternate Location: Levine 307 (3330 Walnut Street)*
The structure control system design
consists mainly of two steps: input/output (I/O) selection and control
configuration (CC) selection. The first one is devoted to the problem of
computing how many actuators/sensors are needed and where should be
placed in the plant to obtain some desired property. Control
configuration is related to the decentralized control problem and is
dedicated to the task of selecting which outputs (sensors) should be
available for feedback and to which inputs (actuators) in order to
achieve a predefined goal. The choice of inputs and outputs affects the
performance, complexity and costs of the control system. Due to the
combinatorial nature of the selection problem, an efficient and
systematic method is required to complement the designer intuition,
experience and physical insight.
Motivated by the above, this presentation addresses the structure control system design taking explicitly into consideration the possible application to large-scale systems. We provide an efficient framework to solve the following major minimization problems: i) selection of the minimum number of manipulated/measured variables to achieve structural controllability/observability of the system, and ii) selection of the minimum number of measured and manipulated variables, and feedback interconnections between them such that the system has no structural fixed modes. Contrary to what would be expected, we showed that it is possible to obtain the global solution of the aforementioned minimization problems in polynomial complexity in the number of the state variables of the system. To this effect, we propose a methodology that is efficient (polynomial complexity) and unified in the sense that it solves simultaneously the I/O and the CC selection problems. This is done by exploiting the implications of the I/O selection in the solution to the CC problem. An example illustrate the main features of the proposed procedure.
Sérgio Pequito is a PhD candidate at Carnegie Mellon Univsersity (CMU), within the CMU-Portugal Program, at the Instituto Superior Técnico (IST), Lisbon, Portugal. He received his BSc and MSc in Applied Mathematics from the IST. Pequito's research consists in understand the global qualitative behavior of large scale systems from their structural or parametric descriptions and provide a rigorous framework for the design, analysis, optimization and control of large scale (real-world) systems. Pequito was awarded with the best student paper finalist in the Conference of Decision and Control 2009, the ECE Outstanding Teaching Assistant Award at CMU and Carnegie Mellon Graduate Teaching Award (university-wide) [Honourable Mention], both in 2012.