LMI-based designs for robust state and output derivative feedback guaranteed cost controllers in reciprocal state space form. Issue 8 (3rd August 2021)

• Record Type: Journal Article
• Authors: Sever, Mert; Yazici, Hakan
• Is Part Of: International journal of control. Volume 94:Issue 8(2021)
• Page Start: 2224
• Page End: 2237
• Publication Date: 2021-08-03
• Subjects: State derivative feedback -- output derivative feedback -- guaranteed cost control -- linear quadratic regulator -- reciprocal state space framework -- polytopic uncertainties -- linear matrix inequalities; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2019.1697465
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract : In some practical problems, state derivative variables are more easily obtained than state variables. Solution of guaranteed cost control problem using derivative feedback for continuous, linear time-invariant systems in Reciprocal State Space form with or without polytopic uncertainties, is presented in this paper. Sufficient conditions on stability and performance are derived in terms of Linear Matrix Inequalities. State derivative and output derivative feedback gain matrices are found to minimise non-standard quadratic cost. Vibration attenuation performance of the proposed controllers are examined on an active suspension of a car seat example in the presence of suspension damping element failure. Numerical simulation results verify the superiority of guaranteed cost robust derivative feedback controllers over existing derivative feedback linear quadratic regulator controllers which are given in literature.