this paper presents a theoretical approach to implementation of the “multi-realization of nonlinear mimo systems”. this method aims to find state-variable realization for a set of systems, sharing as many parameters as possible. in this paper a special nonlinear multi-realization problem, namely the multi-realization of feedback linearizable nonlinear systems is considered and an algorithm for ...

We define a notion of relational linear combinatory algebra (rLCA) which is a generalization of a linear combinatory algebra defined by Abramsky, Haghverdi and Scott. We also define a category of assemblies as well as a category of modest sets which are realized by rLCA. This is a linear style of realizability in a way that duplicating and discarding of realizers is allowed in a controlled way....

In this study of the nonlinear H∞-optimal control design for strict-feedback nonlinear systems our objective is to construct globally stabilizing control laws to match the optimal control law up to any desired order, and to be inverse optimal with respect to some computable cost functional. Our recursive construction of a cost functional and the corresponding solution to the Hamilton-Jacobi-Isa...

The well-known Bounded Real Lemma plays a key role in L2-gain based control methods such as H∞ control for both linear and nonlinear systems. Recently, conventional (linear) L2-gain concepts have been generalized to the nonlinear L2-gain framework to encompass a larger class of systems. A bounded real lemma has been developed corresponding to this generalized notion of nonlinear L2-gain.

the use of micro-controllers in actuators provides extended flexibility for on-line data acquisition and sophisticated control implementation. however, attempts to utilize the excellent features of induction motor that is deemed by its strength, robustness, high torque, and relatively low cost in actuators face a fundamental control design challenge. the purpose of this paper is to introduce th...

This paper deals with the problem of robust H∞ control for a class of uncertain switched nonlinear systems via the multiple Lyapunov functions approach. Based on the explicit construction of Lyapunov functions, which avoids solving the Hamilton-Jacobi-Isaacs (HJI) inequalities, a condition for the solvability of the robust H∞ control problem and design of both switching laws and controllers is ...

In this paper singular H 1 suboptimal control for a class of two-block interconnected nonlinear systems is addressed. Under the assumption that the regular H 1 suboptimal control problem is solvable for one of the blocks, an auxiliary nonlinear system is deened. Then it is shown that a feedback solution to the singular H 1 suboptimal control problem for the auxiliary system also applies to the ...

Solitons or solitary waves are large-amplitude excitations with finite spatial widths 15 which are found in certain nonlinear systems and which can propagate over long distances without changing their shapes. Solitary waves also have the property that, although they may interact strongly with other solitary waves, they emerge from the interaction intact. The first report of the observation of a...

This article presents a fuzzy robust Mixed - Sensitivity Gain - Scheduled H controller based on the Loop -Shaping methodology for a class of MIMO uncertain nonlinear Time - Varying systems. In order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by Takagi and Sugeno’s (T - S) fuzzy approach. Both Loop - Shaping methodology and...

surge is one of the two destructive factors in compressors. surge is the stream instability phenomenon in compressor that imposes severe damages to the compressors. nowadays, suppressingsurge phenomenon is one of the most important issues in oil and gas industries, especially when flow reduction or gas reflux is considered. according to moore-greitzer compressor model, this paper designs an act...