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The paper concerns the identification of the multiple-input multiple-output (MIMO) Wiener system consisting of a linear subsystem followed by a static nonlinearity. Based on Fourier transform, the coefficient matrices of the linear subsystem is recursively estimated by stochastic approximation based principal component analysis (SABPCA) method with random inputs with possibly non-Gaussian distribution...
This paper provides a set of conditions for the existence of an optimal stationary policy in the long-run average cost control problem of linear stochastic systems. The main conditions are based on convexity of the cost by stage and convergence of trajectories. The discrete-time system is assumed to be linear with respect to the state but the controls take an abstract state-feedback structure, possibly...
This paper proposes a novel stability analysis of linear systems with sampled-data inputs. Inspired by the input-delay approach and the stability of impulsive systems, this method provides novel sufficient stability conditions. The stability analysis concerns both constant and time-varying sampling periods. The delay-dependent conditions are expressed using computable linear matrix inequalities. Several...
Iterative methods for linear systems with a symmetric positive definite coefficient matrix are designed from a control-theoretic viewpoint. In particular, it is shown that a control-theoretic approach loosely based on m-step dead beat control of the error or residual system, with a suitable definition of error norm can be utilized to design new iterative methods that are competitive with the popular...
Maximum likelihood is an attractive estimator for linear systems with finite order. In the case of fractionally differenced processes, the maximum likelihood estimator becomes numerically intractable for large data sets. An algorithm for the estimation of the fractal dimension of a process that addresses the ill-conditioning of its covariance matrix is proposed. The algorithm reduces the variance...
A design scheme of the finite-time tracking controller is given for a general class of nonholonomic systems including extended chained systems, extended power systems, underactuated surface systems, etc. By introducing a time-varying state transformation based on the concept of minimal dilation degree, this class of nonholonomic systems is transformed into a linear time-varying control systems. The...
A receding horizon control algorithm, originally proposed for tracking best-possible steady-states in the presence of overly stringent state and/or input constraints, is analyzed for the case of nonlinear plant models and possibly non-convex cost functionals. Unlike the linear case (with convex cost functionals), convergence to equilibrium is not always possible and only average performance bounds...
We consider control systems of the type x?? = Ax+??(t)ub, where u ?? R, (A; b) is a controllable pair and ?? is an unknown time-varying signal with values in [0; 1] satisfying a permanent excitation condition of the kind ??t+Tt ?? ?? ??for 0 < ?? ?? T independent on t. We prove that such a system is stabilizable with a linear feedback depending only on the pair (T; ??) if the real part of the...
We consider the use of linear state feedback control to achieve a non-overshooting step response, for right-invertible non-square multivariable systems. A method is given for designing a linear time-invariant state-feedback controller to asymptotically track a constant step reference with zero overshoot and arbitrarily small rise time, under some mild assumptions.
In this paper we give conditions that a discrete time switched linear systems must satisfy if it is stable. We do this by calculating the mean and covariance of the set of matrices obtained by using all possible switches. The theory of switched linear systems has received considerable attention in the systems theory literature in the last two decades. However, for discrete time switched systems the...
In recent years, GPU (Graphic Processor Unit) has become an import accelerator for conventional applications. User has to program in GPU-based environments, such as CUDA, and it usually requires detailed tuning for good performances. Also since GPU has high Single Precision (SP) performance while its Double Precision (DP) performance falls short, it has limited application in scientific computing...
Commonly, controllers for Linear Parameter- Varying (LPV) systems are designed in continuous-time using a Linear Fractional Representation (LFR) of the plant. However, the resulting controllers are implemented on digital hardware. Furthermore, discrete-time LPV synthesis approaches require a discrete-time model of the plant which is often derived from continuous-time first-principle models. Existing...
In this paper, we consider the feedback stabilization problem of impulsive linear control systems with quantized input signals and quantized output signals. Some concepts including quasi-invariant sets and attracting sets for hybrid impulsive quantized systems are investigated. Based on these concepts and the analysis of related dynamic properties, we propose hybrid quantized control schemes to stabilize...
For a right-invariant and controllable driftless system on SU(n), we consider a time-periodic reference trajectory along which the linearized control system generates su(n): such trajectories always exist and constitute the basic ingredient of Coron's return method. The open-loop controls that we propose, which rely on a left-invariant tracking error dynamics and on a fidelity-like Lyapunov function,...
This paper studies a non-linear, discrete-time, matrix system arising in the stability analysis of Kalman filters. These systems present an internal coupling between the state components that gives rise to complex dynamic behaviour. The problem of partial stability, which requires that a specific component of the state of the system converges exponentially, is studied and solved. The convergent state...
In this paper, we study the discrete-time nonlinear consensus protocols over both directed and undirected networks with fixed topology. First, the notions of (global/exponential) semistability are introduced for systems with a continuum of equilibria. In terms of (global/exponential) consensus defined based on the notion of semistability, we have derived convergence conditions for the general discrete-time...
The generalized Nyquist criterion is used to derive necessary and sufficient consensus conditions for large high-order linear multi-agent systems (MAS) with heterogeneous communication delays. The new consensus conditions are set-valued graphical conditions, from which inequality conditions are derived for single integrator MAS. The obtained conditions provide a unification and generalization of several...
A novel identification strategy is presented in this paper for piecewise linear (PWL) dynamical systems. The strategy is based on the use of the minimal control synthesis adaptive technique for PWL systems presented in. After stating the general identification problem, the convergence of the novel algorithm is proved analytically in the case where the plant is PWL and the reference model is linear...
In this paper a 2D systems setting is used to develop new results on iterative learning control for linear plants in the case when there are multiple reference signals. The algorithms for control law design are developed using a strong form of stability for discrete linear repetitive processes known as stability along the pass. The resulting design computations are in terms of linear matrix inequalities...
In adaptive observer methods for actuator fault estimation, the system has to satisfy the condition of the Strictly Positive Realness (SPR). However, some practical systems may fail to satisfy the SPR condition. This paper proposes two methods for actuator fault estimation without the need of the SPR condition, based on the adaptive observer technique with the same structure. At first, for a class...
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