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Modeling of physical systems consists of writing the equations describing a phenomenon and yields as a result a set of differential-algebraic equations. As such, state-space models are not a natural starting point for modeling, while they have utmost importance in the simulation and control phase. The paper addresses the problem of computing state variables for systems of linear differential-al...

We introduce a new method for the design of observers for nonlinear systems using backstepping. The method is applicable to a class of nonlinear systems slighter larger than those treated by Gauthier, Hammouri, and Othman [IEEE Trans. Automat. Control, 27 (1992), pp. 875– 880]. They presented an observer design method that is globally convergent using high gain. In contrast to theirs, our obser...

Abstrakt Konečno-stavový automat je formalizmus, ktorý je schopný do veľkej miery modelovať činnosť robotického systému. Ba, činnosť robotického systému možno pomocou stavových automatov priamo riadiť: riadiaci systém robota môže tvoriť jeden alebo viacero stavových automatov, presnejšie transducerov, kde prechody medzi stavmi generujú akcie. Bolo ukázané, že stavové automaty ako riadiaci systé...

The hybridization of artificial immune system with cellular automata (CA-AIS) is a novel method. In this hybrid model, the cellular automaton within each cell deploys the artificial immune system algorithm under optimization context in order to increase its fitness by using its neighbor’s efforts. The hybrid model CA-AIS is introduced to fix the standard artificial immune system’s weaknesses. T...

We derive in this work a local nonlinear small-gain theorem in the framework of input-to-state stability for discrete time systems. Our primary objective is to show that, as in the continuous-time context, these discrete-time nonlinear small-gain theorems are very effective in stability analysis and synthesis for various classes of discrete-time control systems. Two converse Lyapunov theorems f...

In this work we propose a new filtering approach for linear discrete time non-Gaussian systems that generalizes a previous result concerning quadratic filtering [A. De Santis, A. Germani, and M. Raimondi, IEEE Trans. Automat. Control, 40 (1995) pp. 1274–1278]. A recursive νth-order polynomial estimate of finite memory 1 is achieved by defining a suitable extended state which allows one to solve...

equivalent or lift of the multirate plant, translating the given [231 G. M. Kranc, “Input-outPut analysis of multirate feedback SYSmultirate costs and noise covariances to the lifted space, and then solving a constrained .&ift-invariant LQG problem. Our main result also gives a procedure for rms noise power cost translation in a multirate QDES package. terns,” IRE Trans. Automat. Contr., vol. A...

This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (Brockett and Liberzon, IEEE Trans. Automat. Control 45 (2000) 1279) relies on the possibility of making discrete on-line adjustments of quantizer parameters. We explore this method here for general nonlinear systems with general ...