Abstract
The paper aims to identify and control the coupled mass-spring-damper system. A nonlinear discrete polynomial structure is elaborated. Its parameters are estimated using Recursive Least Squares (RLS) algorithm. Moreover, a feedback stabilizing control law based on Kronecker power is designed. Finally, simulations are presented to illustrate the effectiveness of the proposed structure.
Highlights
System identification is an important tool which can be used to improve control performance [1] [2]
A feedback stabilizing control law based on Kronecker power is designed
Identification of complex systems has stilled a major problem in automatic control because there is no general method for studying high order processes
Summary
System identification is an important tool which can be used to improve control performance [1] [2]. Identification of complex systems has stilled a major problem in automatic control because there is no general method for studying high order processes. It has received considerable attention and several types of models have been proposed during the last decades [3] [4] [5] [6] [7]. It presents the advantage to permit the use of the kronecker product and power of matrices and vectors, which allows important algebraic manipulations [17] It allowed to design a feedback stabilizing control law [18]. The proposed identification method is applied to CMSD system and a conclusion is made
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