Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay
| Autor: | Minh Cuong Nguyen, Hieu Trinh |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Quadratic growth
0209 industrial biotechnology Mathematical optimization Applied Mathematics Linear system Bilinear interpolation 02 engineering and technology Observer (special relativity) Lipschitz continuity Computational Mathematics Nonlinear system 020901 industrial engineering & automation Discrete time and continuous time Control theory 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing State observer Mathematics |
| Zdroj: | Applied Mathematics and Computation. 286:57-71 |
| ISSN: | 0096-3003 |
| Popis: | In this paper, we address the problem of unknown input observer design, which simultaneously estimates state and unknown input, of a class of nonlinear discrete-time systems with time-delay. A novel approach to the state estimation problem of nonlinear systems where the nonlinearities satisfy the one-sided Lipschitz and quadratically inner-bounded conditions is proposed. This approach also allows us to reconstruct the unknown inputs of the systems. The nonlinear system is first transformed to a new system which can be decomposed into unknown-input-free and unknown-input-dependent subsystems. The estimation problem is then reduced to designing observer for the unknown-input-free subsystem. Rather than full-order observer design, in this paper, we propose observer design of reduced-order which is more practical and cost effective. By utilizing several mathematical techniques, the time-delay issue as well as the bilinear terms, which often emerge when designing observers for nonlinear discrete-time systems, are handled and less conservative observer synthesis conditions are derived in the linear matrix inequalities form. Two numerical examples are given to show the efficiency and high performance of our results. |
| Databáze: | OpenAIRE |
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