Deadbeat Observer: Construction via Sets

Download
2012-09-01
A geometric generalization of discrete-time linear deadbeat observer is presented. The proposed method to generate a deadbeat observer for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For demonstration, derivations of observer dynamics are provided for two example systems. Based on the method, a simple algorithm that computes the deadbeat gain for a linear system with scalar output is given.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Suggestions

State deadbeat control of nonlinear systems: Construction via sets
Tuna, Sezai Emre (2012-09-01)
A geometric generalization of the discrete-time linear deadbeat control problem is studied. The proposed method to generate a deadbeat tracker for a given nonlinear system is constructive and makes use of sets that can be computed iteratively. For demonstration, derivations of the deadbeat feedback law and tracker dynamics are provided for an example system. Based on the method, a simple algorithm that computes the deadbeat gain for a linear system with scalar input is given.
Singular inverse Sturm-Liouville problems with Hermite pseudospectral methods
Altundag, H.; Taşeli, Hasan (2021-10-01)
A numerical approximation to recover certain symmetric potentials in the singular inverse Sturm-Liouville problems over (-infinity,infinity) is presented. A Hermite pseudospectral method is employed to cope with the corresponding direct problem on the real line, which is encountered in the iterative procedure proposed for the inverse problem. The usual but unwelcome ill-posed structure of the resulting numerical algorithm has been treated to some extent by the help of a flexible optimization parameter and r...
Quantitative measures of observability for stochastic systems
Subaşı, Yüksel; Demirekler, Mübeccel; Department of Electrical and Electronics Engineering (2012)
The observability measure based on the mutual information between the last state and the measurement sequence originally proposed by Mohler and Hwang (1988) is analyzed in detail and improved further for linear time invariant discrete-time Gaussian stochastic systems by extending the definition to the observability measure of a state sequence. By using the new observability measure it is shown that the unobservable states of the deterministic system have no effect on this measure and any observable part wit...
Inequalities for harmonic functions on spheroids and their applications
Zahariuta, V (2001-06-01)
Hadamard-type interpolational inequalities for norms of harmonic functions are studied for confocal prolate and oblate spheroids. It is shown that the optimal level domains in such inequalities may be non-spheroidal. Moreover, in contrary with the case of analytic functions, there is an unremovable gap between the corresponding optimal level domains for inner and outer versions of Hadamard-type inequalities for harmonic functions. These results are based on some special asymptotical formulas for associated ...
Randomness properties of some vector sequences generated by multivariate polynomial iterations
Gürkan Balıkçıoğlu, Pınar; Diker Yücel, Melek; Department of Cryptography (2016)
We examine the randomness properties of the sequences generated by the multivariate polynomial iterations method proposed by Ostafe and Shparlinski, by using the six different choices of polynomials given by the same authors. Our analysis is based on two approaches: distributions of the periods and linear complexities of the produced vector sequences. We define the efficiency parameters, PE for “period efficiency” and LCE for “linear complexity efficiency”, so that the actual values of the period and linear com...
Citation Formats
S. E. Tuna, “Deadbeat Observer: Construction via Sets,” IEEE TRANSACTIONS ON AUTOMATIC CONTROL, pp. 2333–2337, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35361.