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Satisfactory reliable H∞ guaranteed cost control with D-stability and control input constraints

Satisfactory reliable H∞ guaranteed cost control with D-stability and control input constraints

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  • Author(s): D. Zhang 1 ; H. Su 1 ; J. Chu 1 ; Z. Wang 2
    • View affiliations
    • Affiliations: 1: Institute of Advanced Process Control, Zhejiang University, Hangzhou, People's Republic of China
      2: School of Automation, Nanjing University of Science and Technology, Nanjing, People's Republic of China
  • Source: Volume 2, Issue 8, August 2008, p. 643 – 653
    DOI:  10.1049/iet-cta:20070332 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

Based on the satisfactory fault-tolerant control strategy, the problem of reliable guaranteed cost control with multiple criteria constraints is investigated for a class of uncertain discrete-time systems subject to sensor faults. The state-feedback controller is developed by linear matrix inequalities approach such that, for all admissible parameters uncertainties and possible sensor faults, the given upper bounds on the amplitudes of control input signals be ensured, all the closed-loop poles be placed into the pre-specified regional disk, and the expected quadratic cost performance index as well as the given H∞ norm index of disturbance rejection level be guaranteed, simultaneously. Thus, with the above multiple criteria constraints, the resulting closed-loop system can provide satisfactory stability, transient property, external disturbance attenuation level and quadratic cost performance, despite the possible sensor faults.

Inspec keywords: state feedback; discrete time systems; cost optimal control; pole assignment; uncertain systems; linear matrix inequalities; stability; closed loop systems; H∞ control; fault tolerance

Other keywords: state-feedback controller; d-stability; fault-tolerant control strategy; uncertain discrete-time systems; linear matrix inequalities approach; sensor faults; H∞ guaranteed cost control; control input constraints; multiple criteria constraints; closed-loop poles; disturbance rejection

Subjects: Discrete control systems; Algebra; Stability in control theory; Optimal control; Control system analysis and synthesis methods

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