Finite-region boundedness and stabilization for 2D continuous-discrete systems in Roesser model

This paper investigates the finite-region boundedness (FRB) and stabilization problems for two-dimensional continuous-discrete linear Roesser models subject to two kinds of disturbances. For two-dimensional continuous-discrete system, we first put forward the concepts of finite-region stability and FRB. Then, by establishing special recursive formulas, sufficient conditions of FRB for two-dimensional continuous-discrete systems with two kinds of disturbances are formulated. Furthermore, we analyze the finite-region stabilization issues for the corresponding two-dimensional continuous-discrete systems and give generic sufficient conditions and sufficient conditions that can be verified by linear matrix inequalities for designing the state feedback controllers which ensure the closed-loop systems FRB. Finally, viable experimental results are demonstrated by illustrative examples

Stabilization of Differential Repetitive Processes

Differential repetitive processes are a subclass of 2D systems that arise in modelingphysical processes with identical repetitions of the same task and in the analysis of othercontrol problems such as the design of iterative learning control laws. These models haveproved to be efficient within the framework of linear dynamics, where control laws designed inthis setting have been verified experimentally, but there are few results for nonlinear dynamics.This paper develops new results on the stability, stabilization and disturbance attenuation,using an H? norm measure, for nonlinear differential repetitive processes. These results arethen applied to design iterative learning control algorithms under model uncertainty and sensorfailures described by a homogeneous Markov chain with a finite set of states. The resultingdesign algorithms can be computed using linear matrix inequalities

Stability and stabilization of differential repetitive processes with time-delays over finite frequency ranges

This paper addresses the problem of stability and control law design for differential linear repetitive processes with time delays in the state vector. Delay-dependent conditions for stability along the pass of such processes are developed in terms of linear matrix inequalities. These results are then extended to include finite frequency specifications to reduce conservatism generated by considering the entire frequency spectrum. The method is based on the generalized Kalman-Yakubovich-Popov (KYP) lemma and hence finite frequency range performance specifications can be imposed during the stability checking with an extension to algorithms for control law design. A simulation example to demonstrate the new results is also given