Technical Report No. 2003-470 PARALLEL COMPUTATION AND MEASUREMENT UNCERTAINTY IN NONLINEAR DYNAMICAL SYSTEMS
نویسندگان
چکیده
In certain physical systems measuring one variable of the system modi es the values of any number of other variables unpredictably. We show in this paper that under these conditions a parallel approach succeeds in carrying out the required measurement while a sequential approach fails. Speci cally, we show that for a nonlinear dynamical system, namely, the Belousov-Zhabotinskii chemical reaction, measurement disturbs the equilibrium of the system and causes it to enter into an undesired state. If, however, several measurements are performed in parallel, the e ect of perturbations seems to cancel out and the system remains in a stable state.
منابع مشابه
Parallel Computation and Measurement Uncertainty in Nonlinear Dynamical Systems
In certain physical systems measuring one variable of the system modi es the values of any number of other variables unpredictably. We show in this paper that under these conditions a parallel approach succeeds in carrying out the required measurement while a sequential approach fails. Speci cally, we show that for a nonlinear dynamical system, namely, the Belousov-Zhabotinskii chemical reactio...
متن کاملAn Introduction to Control Theory From Classical to Quantum Applications Course Lecture Notes
Control theory is a vital component of all modern technology because it allows the construction of high performance devices despite large uncertainty in the individual components used to build them. This course provides a basic introduction to modern control theory in a series of five lectures, each intended to be roughly three hours long. It focusses on the development of fundamental concepts,...
متن کاملOptimal Joint Maximum Likelihood based Estimator for Discrete Nonlinear Dynamic Systems
The Joint Maximum Likelihood (JML) criterion is used to derive the optimal recursive-iterative estimator for discrete nonlinear dynamic systems. For linear systems this approach constitutes, in its recursive form, the structure of the Kalman Filter. The JML approach to estimation of nonlinear systems can be solved by batch formulas at the cost of extensive computational effort, i.e. with each n...
متن کاملMatch-Point Solutions for Robust Flutter Analysis
The computation of robust utter speeds presents a signi cant advancement over traditional types of utter analysis. In particular, 1-method analysis is able to generate robust utter speeds that represent worst-case ight conditions with respect to potential modeling errors. Robust utter speeds may be computed using a model formulation that has been previously presented; however, that f...
متن کاملTime-varying parameter estimation with application to trajectory tracking
Purpose – This paper is concerned with an online parameter estimation algorithm for nonlinear uncertain time-varying systems for which no stochastic information is available. Design/methodology/approach – The estimation procedure, called nonlinear learning rate adaptation (NLRA), computes an individual adaptive learning rate for each parameter instead of using a single adaptive learning rate fo...
متن کامل