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We deal with the robust controllability problem of the fractional order linear time invariant (FO-LTI) stochastic systems with interval coefficients. We present a necessary and sufficient condition for the controllability problem for the case when there is no interval uncertainty. Based on the concept of linear independency of interval vectors, we formulate the approach to check the robust controllability...
In this paper we provide solutions for the problems of finding the maximum singular value of an interval matrix and computing the power of an interval matrix at a specified order. First, to calculate the exact value of the maximum singular value of an interval matrix we make use of a solution to finding the eigenvalues of a symmetric interval matrix. Second, we use a sensitivity transfer method to...
This paper provides stability conditions of an uncertain networked control system with both forward control signal loss and feedback output signal loss. It is assumed that both the forward control signal and the output measurement signal are intermittent independently, and the remote plant has a model uncertainty. Also, in this paper, an observer-based controller is used in the remote place because...
In this paper, we propose a repetitive learning control (RLC), which deals with nonlinear dynamical systems with non-parametric uncertainties. We address three fundamental issues associated with the new learning control methods: the existence of the solution, learning convergence property and robustification, which are indispensable for the learning control methods to evolve to a new paradigm. Applying...
This paper presents an Hinfin-based design technique for synthesis of higher-order iterative learning controllers (ILC) for plants subject to iteration-domain input/output disturbances and plant model uncertainty. Using a formulation of the higher-order ILC problem into a high-dimensional MIMO discrete-time system, it is shown how the addition of input/output disturbances and plant model uncertainty...
This paper presents the design of a robust iterative learning controller for the case of a plant with interval model uncertainty in the "A-matrix" of its state space description. First order perturbation theory is utilized to find bounds on the eigenvalues and eigenvectors of the powers of A when A is an interval matrix. These bounds are then used for calculation of the interval uncertainty...
This paper considers the stability of the fractional-order linear time-invariant systems with interval type uncertainties in both fractional orders and the relevant coefficients. It is an extension of our previous result on the robust stability analysis of the interval type uncertain fractional order LTI systems with crisply known fractional orders. We have proposed a stability check procedure for...
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