This research investigates the Adaptive Model Predictive Controller (AMPC) and Linear Parameter-Varying (LPV) control system for a direct current (dc-dc) buck-boost converter, considering parameters’ uncertainty. The LPV model AMPC are explicitly constructed to perform robust design proposed dc-dc converter. was created out of set linearized systems at different operating conditions Time-Invari...

This paper presents the basic concepts of stability in fuzzy linguistic models. Theauthors have proposed a criterion for BIBO stability analysis of fuzzy linguistic modelsassociated to linear time invariant systems [25]-[28]. This paper presents the basic concepts ofstability in the general nonlinear and linear systems. This stability analysis method is verifiedusing a benchmark system analysis.

In this paper, we propose a linear periodically time-varying (LPTV) controller synthesis approach for the multiobjective H2/H∞ control problem of discrete-time linear time-invariant (LTI) systems. By artificially regarding the LTI plant as N-periodic and applying the discrete-time system lifting, we first derive a sequence of semidefinite programmings (SDPs) indexed by N for the synthesis of su...

Cumulant (higher-order statistics) based inverse filter criteria maximizing J,,, = / C,l’/IC,I”, where m # r and C, (C,) denotes the mth-order (rth-order) cumulant of the inverse filter output, have been proposed for blind deconvolution and equalization with only non-Gaussian output measurements of an unknown linear time-invariant (LTI) system. This paper shows that the maximum of J,,,, associa...

The generalized likelihood ratio (GLR) test has been studied for the detection and estimation of a jump in linear systems, where the choices of the window size for the online implementation and of the threshold have been recognized as key problems. This paper proposes a deadbeat observer based GLR test for linear time invariant (LTI) systems. The necessary window size is automatically determine...

In this paper it is shown that every continuous LTI (linear time-invariant) system L defined either on L or on D Lp (1 6 p 6 ∞) admits an impulse response ∆ ∈ D Lp′ (1 6 p ′ 6 ∞, 1/p+ 1/p′ = 1). Schwartz’ extension to D Lp distributions of the usual notion of convolution product for L functions is used to prove that (apart some restrictions for p =∞) for every f either in L or in D Lp we have L...

We present a kernel-based approach to the classification of time series of gene expression profiles. Our method takes into account the dynamic evolution over time as well as the temporal characteristics of the data. More specifically, we model the evolution of the gene expression profiles as a Linear Time Invariant (LTI) dynamical system and estimate its model parameters. A kernel on dynamical ...

Balanced truncation is the most commonly used model order reduction scheme in control engineering. This is due to its favorable properties of automatic stability preservation and the existence of a computable error bound, enabling the adaption of the reduced model order to a specified tolerance. It aims at minimizing the worst case error of the frequency response over the full infinite frequenc...

In this paper, we address the problem of globally stabilizing a linear time-invariant (LTI) system by means of a static feedback law whose amplitude and successive time derivatives, up to a prescribed order p, are bounded by arbitrary prescribed values. We solve this problem for two classes of LTI systems, namely integrator chains and skew-symmetric systems with single input. For the integrator...