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In this paper, we design the robust H∞ sliding mode controller for a class of time-delay nonlinear systems subject to randomly occurring uncertainties, external disturbance as well as packet losses. The uncertainties addressed satisfy the norm bounded condition and the time-delay is time-varying with known bounds. The state data of the system are firstly constructed based on the known packet loss...
This work deals with the problem of model matching in switched linear systems. On appropriate assumptions, conditions are shown that allow the synthesis of a switched dynamic output feedback capable of achieving model matching with asymptotic stability under restricted switching of both the switched compensator and the closed-loop switched system.
In this paper, the problem of robust fractional-order observer (RFO) design in time and frequency domains for disturbed fractional-order system is investigated. The main results include the formulation of robust observer design problems in time and frequency domains. In the time domain, we develop a sufficient condition for the existence of a robust observer design, and its construction is based on...
Congestion control is a cornerstone component of the Internet. The plant dynamics can be modelled by means of an integrator, modelling a bottleneck queue, a time delay, modelling the propagation of the information from a source to a destination along with queuing, and a load disturbance, which models the time-varying available bandwidth. It has been shown that a Smith predictor plus a proportional...
In this paper, we present a wavelet multiresolution model based adaptive model predictive control strategy for control of unknown nonlinear systems subject to input and state constraints. The wavelet multiresolution analysis framework is used as the building block to approximate the unknown nonlinear system dynamics by virtue of the promising function approximation capability of wavelet networks....
This work deals with rejection of disturbance inputs accessible for measurement in continuous-time switched linear systems with dwell-time constraints on the switching signals. The measurable disturbance rejection problem is stated as the problem of finding a dynamic feedforward switched compensator achieving zero output and exponential stability of the compensated switched linear system over a class...
For a family of continuous-time nonlinear systems with input, output and uncertain terms, a new interval observer design is proposed. The main feature of the constructed interval observer is that it is composed of two copies of a classical observer whose corresponding error equations are, in general, not cooperative. The interval observer is globally asymptotically stable under an appropriate choice...
This work presents a summary of new results on sequential compactness of solutions for a class of stochastic hybrid systems. The main result is that every almost surely locally eventually bounded sequence of solutions with given statistical properties admits a solution in its pointwise outer limit with similar statistical properties. Moreover, if a sequence is not locally eventually bounded in probability...
A hybrid systems framework for modeling and analysis of robust stability of spiking neurons is proposed. The framework is developed for a population of n interconnected neurons. Several well-known neuron models are studied within the framework, including both excitatory and inhibitory simplified Hodgkin-Huxley, Hopf, and SNIPER models. For each model, we characterize the sets that the solutions to...
This article suggests a design method of hybrid output feedbacks for affine systems under observability and stabilizability assumptions. Our aim is to use the separation principle on systems controlled by hybrid feedback laws. We investigate two constructive methods for the high-gain observer: the first one is based on a finite-time convergence of the observation error, the second one is based on...
In this paper the Cooperative Adaptive Cruise Control strategy for vehicles platooning is extended to the case when each vehicle can communicate with a subset of vehicles in the fleet. The control objective is to guarantee that the fleet moves forward with a given spacing policy at the leader velocity. To this aim each vehicle decides its control action using information from all neighboring vehicles...
Recent papers proposed an interpolating control methodology for linear discrete-time systems subject to input and state (output) constraints. The main idea of the approach is to blend a local high-gain optimal controller with a global low-gain vertex controller via interpolation. At each time instant, two linear programming problems of relatively small dimensions are solved online. The approach can...
A discrete-time resilient state feedback control scheme is presented to control nonlinear systems with locally conic type of nonlinearities and driven by finite energy disturbances. The resilience property is achieved in the presence of bounded perturbations in the feedback gain. The controller design is also robust as the design process addresses system models containing a higher degree of uncertainty...
This paper discusses robust stability analysis of discrete-time stochastic systems whose system matrices belong to convex polytopes (called stochastic polytopes) consisting of random matrices (i.e., matrices involving random variables). The stochastic polytopes enable us to describe the uncertainty in the probability distribution of the system matrix. Hence, we can tackle the problem of deciding whether...
This note proposes sufficient conditions under which a nonlinear system can be made Strongly iISS in the presence of actuator saturation. This property, recently proposed as a compromise between the strength of ISS and the generality of iISS, ensures boundedness of all solutions provided that the disturbance magnitude is below a certain threshold. We also show that, under a growth rate condition,...
This paper deals with robust stability analysis of real interval polynomials via value distribution theory. First, necessary conditions for Schur-stability are formulated in terms of inequalities using techniques from Landau theorem. These conditions can be employed for a preprocessing rejection scheme to test interval polynomials as being non-Schur-stable. Secondly, based on the values of its adjacent...
A fuzzy sliding mode controller is designed for controlling is proposed for speed tracking control of a separately excited DC motors (SEDCMs) in this paper. The method is based on Lyapounov stability, fuzzy and variable structure control theorems. First, the methodology of the fuzzy is used to estimate the unknown nonlinearities. When the system is in the sliding mode, the adaptive gain in the designed...
This paper presents an analysis on stability robustness of the widely used nonlinear dynamic inversion algorithm. By using nonlinear dynamic inversion algorithm, the multiple-inputs-multiple-outputs affine nonlinear system which has bounded uncertainty and disturbances is transformed into a linear time varying system with special structure. Thus the stability robustness issues of nonlinear dynamic...
This paper studies a novel kind of robust stability, namely robust asymptotic stability with respect to states' means, of linear time-varying (LTV) uncertain systems. Roughly speaking, the system will feature this robust stability if its state variables' mean values gradually approach to their equilibrium states. Robust input-output finite-time stability (IO-FTS) of the LTV uncertain system over a...
This paper studies the stability of fractional singular systems with nonlinear disturbances. By using Lyapunov stability theory, we obtain sufficient conditions for the asymptotic stability of the systems.
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