Parameterized LMI Based Diagonal Dominance Compensator Study for Polynomial Linear Parameter Varying System

3rd International Conference on Mechanical Engineering and Automation Science

机械制造;无线电电子学

Han, Xiaobao^1 ; Li, Huacong^1 ; Jia, Qiusheng^1

School of Power, Energy Northwestern Polytechnical University xi'An, China^1

关键词: Convex optimization problems;    Convex polyhedrons;    Diagonal dominance;    Dynamic decoupling;    Linear parameter varying;    Linear parameter varying systems;    Parameterized linear matrix inequality;    Robust performance;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/280/1/012015/pdf
DOI  :  10.1088/1757-899X/280/1/012015

来源: IOP

【 摘 要 】

For dynamic decoupling of polynomial linear parameter varying(PLPV) system, a robust dominance pre-compensator design method is given. The parameterized precompensator design problem is converted into an optimal problem constrained with parameterized linear matrix inequalities(PLMI) by using the conception of parameterized Lyapunov function(PLF). To solve the PLMI constrained optimal problem, the precompensator design problem is reduced into a normal convex optimization problem with normal linear matrix inequalities (LMI) constraints on a new constructed convex polyhedron. Moreover, a parameter scheduling pre-compensator is achieved, which satisfies robust performance and decoupling performances. Finally, the feasibility and validity of the robust diagonal dominance pre-compensator design method are verified by the numerical simulation on a turbofan engine PLPV model.