Performance Guarantee of a Class of Continuous LPV System with Restricted-Model-Based Control

  • Sonia Maalej ARSii, Bureau 502 - Imm. Louzir, Avenue Palestine, Sahloul Sousse, 4054-Tunisie, Institut Privée Polytechnique des Sciences Avancées de Sfax — à Avenue 5 Août Rue, 3002 Sfax Tunisie
Keywords: Linear parameter-varying (LPV) system, Polytopic systems, Non-linear systems, Linear Matrix Inequalities, Performance control, L_2 induced gain


This paper considers the problem of the robust stabilisation of a class of continuous Linear Parameter Varying (LPV) systems under specifications. In order to guarantee the stabilisation of the plant with very large parameter uncertainties or variations, an output derivative estimation controller is considered. The design of such controller that guarantee desired  induced gain performance is examined. Furthermore, a simple procedure for achieving the  norm performance is proved for any all-poles single-input/single-output second order plant. The proof of stability is based on the polytopic representation of the closed loop under Lyapunov conditions and system transformations. Finally, the effectiveness of the proposed method is verified via a numerical example.


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How to Cite
Sonia Maalej. (2022). Performance Guarantee of a Class of Continuous LPV System with Restricted-Model-Based Control. International Journal of Computer (IJC), 42(1), 1-16. Retrieved from