Finally, numerical simulations demonstrate the relative estimation error of the proposed estimator is less than 3.15%. Then, the error bounds are given, and an adaptive adjustment procedure is adapted to increase the estimation accuracy.
Specifically, the support vector regression (SVR) is used to estimate system parameters, and the feedback gain is designed to guarantee bounded-input, bounded-output (BIBO) stability.
The insights of the proposed design lie in: i) the operation data can reflect the internal parameters of the model and provide a source for preliminary estimation ii) the error bounds of estimated parameters and states can be determined based on mathematical analysis of the regression procedure. Key Words: 2-D systems, singular systems. At last it is shown that 2-D singular system is internally stable if and only if it is BIBO stable, detectable and stabilizable. In this paper, we aim to design a stable parameter and state estimator over the unknown linear system (i.e., without prior knowledge), via a suitable feedback gain and iterative adjustment procedure and determine the error bounds. The BIBO stability condition has been extended to 2-D singular systems.The detectability of 2-D singular system is further discussed, an equivalent condition is obtained. Besides, the estimation error bounds are needed for most of the low-cost model-based controller design. 4.1 UBIBO stability of FrDDEI (2) We will introduce the following assumptions: Assumption (A1).
However, in practical applications, the accuracy of prior knowledge degenerates over time, which causes identification failure. A necessary and su cient condition for BIBO stability is derived which mainly relies on the asymptotic expansion of the impulse response f(t). Most of the existing methods have promising results under the condition that the prior knowledge of the system model is known (system structure is given). Stability factors or criteria, based on laboratory characterizations, were devised to insure that this will not happen. However, the inital conditions actually doesnt matter. Abstract: System model parameter and state estimations are classical problems for control theory. BIBO stability refers to the property that a bounded input applied to a system leads to a bounded output.
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