Pole placement LMI constraints for stability and transient performance of LPV systems with incomplete state measurement |
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| Institution: | 1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China;2. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510641, China;3. Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh 27695-7910, USA;1. University of Bristol, BS8 1TR, U.K.;2. Japan Aerospace Exploration Agency (JAXA), Mitaka, Tokyo 181-0015, Japan;1. Department of Aerospace Engineering, University of Bristol, Bristol BS8 1TR, United Kingdom;2. European Space Agency, ESTEC, Noordwijk 2201AZ, the Netherlands;1. Department of Mechanical Engineering, Building 15, Gemini-Zuid, Eindhoven University of Technology, Eindhoven, The Netherlands;2. Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, Via G. Ponzio 34/5 - 20133 Milano, Italy |
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| Abstract: | In this paper, new conditions for the stabilisation and transient performance improvement of linear parameter-varying (LPV) systems considering the gain-scheduling (GS) strategy are proposed. Our work is focused on dealing with LPV systems under the major practical constraint of incomplete state measurement. In that sense, we propose two new control design strategies based on linear matrix inequalities (LMI). First, for coping with the general case where only a subset of the state variables is measured, we propose a new static output feedback (SOF) strategy. Second, for dealing with the particular case where only accelerometers signals are available, we bring new synthesis conditions for the design of state derivative feedback (SDF) controllers. Further from stability, our proposed methods are able to induce better transient response by including pole placement LMI constraints in the control design. For illustrating our contribution efficacy, we present a couple of design examples. |
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