Parameter identification of continuous systems with multiple-input time delays via modulating functions

2000 ◽  
Vol 147 (1) ◽  
pp. 19-27 ◽  
Author(s):  
A. Balestrino ◽  
L. Sani ◽  
A. Landi
Keyword(s):  
Parameter Identification ◽  
Time Delays ◽  
Continuous Systems ◽  
Multiple Input ◽  
Input Time ◽  
Modulating Functions

Further results on output-feedback stabilization of stochastic upper-triangular systems with state and input time-delays

2017 ◽  
Vol 40 (7) ◽  
pp. 2408-2415 ◽  
Author(s):  
Liang Liu ◽  
Shengyuan Xu ◽  
Xuejun Xie ◽  
Bing Xiao
Keyword(s):  
Output Feedback ◽  
Time Delays ◽  
Delay System ◽  
Feedback Stabilization ◽  
System Stability ◽  
Output Feedback Stabilization ◽  
Triangular Systems ◽  
Reduced Order Observer ◽  
Input Time ◽  
Stochastic Time

Based on stochastic time-delay system stability criterion and a homogeneous domination approach, the output-feedback stabilization problem for a class of more general stochastic upper-triangular systems with state and input time-delays has been solved in this paper. Firstly, the initial system is changed into an equivalent one with a designed scalar by introducing a set of coordinate transformations. After that, by designing an implementable homogeneous reduced-order observer, and tactfully selecting a suitable Lyapunov–Krasoviskii functional and a low gain scale, a delay-independent output-feedback controller is explicitly constructed. Finally, the globally asymptotically stability in probability of the closed-loop system is ensured by rigorous proof. The simulation results demonstrate the efficiency of the proposed design scheme.

Modeling of multiple-input, time-varying systems with recursively estimated basis expansions

2019 ◽  
Vol 155 ◽  
pp. 287-300 ◽  
Author(s):  
Kyriaki Kostoglou ◽  
Ronald Schondorf ◽  
Georgios D. Mitsis
Keyword(s):  
Time Varying ◽  
Multiple Input ◽  
Time Varying Systems ◽  
Input Time

Identification of continuous-time hybrid “Box–Jenkins” systems with multiple unknown time delays using two-stage parameter estimation algorithm

2019 ◽  
Vol 36 (6) ◽  
pp. 2111-2130
Author(s):  
Yamna Ghoul
Keyword(s):  
Continuous Time ◽  
Time Delays ◽  
Least Square ◽  
Identification Algorithm ◽  
Recursive Least Square ◽  
Two Stage ◽  
Content Type ◽  
Single Output ◽  
Multiple Input ◽  
Unknown Time Delays

Purpose This study/paper aims to present a separable identification algorithm for a multiple input single output (MISO) continuous time (CT) hybrid “Box–Jenkins”. Design/methodology/approach This paper proposes an optimal method for the identification of MISO CT hybrid “Box–Jenkins” systems with unknown time delays by using the two-stage recursive least-square (TS-RLS) identification algorithm. Findings The effectiveness of the proposed scheme is shown with application to a simulation example. Originality/value A two-stage recursive least-square identification method is developed for multiple input single output continuous time hybrid “Box–Jenkins” system with multiple unknown time delays from sampled data. The proposed technique allows the division of the global CT hybrid “Box–Jenkins” system into two fictitious subsystems: the first one contains the parameters of the system model, including the multiple unknown time delays, and the second contains the parameters of the noise model. Then the TS-RLS identification algorithm can be applied easily to estimate all the parameters of the studied system.

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