Electrical & Electronic Engineering |
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Suboptimal reliable guaranteed cost control for continuous-time systems with multi-criterion constraints |
Deng-feng ZHANG, Hong-ye SU, Jian CHU, Zhi-quan WANG |
Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China; School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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Abstract The suboptimal reliable guaranteed cost control (RGCC) with multi-criterion constraints is investigated for a class of uncertain continuous-time systems with sensor faults. A fault model in sensors, which considers outage or partial degradation of sensors, is adopted. The influence of the disturbance on the quadratic stability of the closed-loop systems is analyzed. The reliable state-feedback controller is developed by a linear matrix inequalities (LMIs) approach, to minimize the upper bound of a quadratic cost function under the conditions that all the closed-loop poles be placed in a specified disk, and that the prescribed level of H∞ disturbance attenuation and the upper bound constraints of control inputs’ magnitudes be guaranteed. Thus, with the above multi-criterion constraints, the resulting closed-loop system can provide satisfactory stability, transient property, a disturbance rejection level and minimized quadratic cost performance despite possible sensor faults.
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Received: 19 October 2007
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