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This paper defines an optimal quadratic cost bound as a performance index for linear time varying systems subject to a finite time stability constraint. In particular, a sufficient condition for achieving such a guaranteed cost bound satisfying simultaneously the finite time stable constraint is given in terms of differential linear matrix inequalities. This condition is then exploited for the design...
A fixed-time sliding mode control scheme is designed in this paper for the high-order linear systems in the pure-feedback form with system uncertainties. A recursive procedure is utilized where a set of switching manifolds have been resorted to realize the fixed-time stability. The initial conditions of the system variables are confined in a particular region so as to avoid the singularity problem...
In this paper, an event-triggered distributed receding horizon control algorithm is proposed for dynamically coupled continuous-time linear systems. First, an event-triggered rule that is realized by monitoring the error between subsystem state and its optimal prediction is designed, and an extra constraint that restricts the discrepancy between each subsystem's assumed and predicted state and input...
In this paper, the output tracking of time-varying linear system is investigated with pseudo division-by-zero phenomenon illustrated. We only use Zhang dynamics (ZD) to design a ZD tracking controller, which is easier than using Zhang-gradient (ZG) method. The purpose of output tracking control for the considered time-varying linear system is to make the actual output track the desired output with...
This paper is concerned with the problem of the annular finite-time filtering for a class of switched systems by using an event-triggered communication scheme. Compared with the existing results of finite-time stability for the switched systems, during the specific time interval, the annular finitetime stability not only requires that the state trajectory does not exceed an upper bound but also is...
Compared with Zhang dynamics (ZD) method, gradient dynamics (GD) method, which is intrinsically feasible and efficient to solve time-invariant problems, could have a simpler hardware implementation. In this paper, different from conventional type-Z0G1 controller in Zhang-gradient (ZG) framework, which uses gradient descent of input vector, a type-Z0G1 controller using gradient descent of state vector...
In this paper, the research on the stabilization of time-varying linear (TVL) system is conducted with pseudo division-by-zero (PDBZ) phenomenon shown. We not only adopt zeroing dynamics (also called Zhang dynamics, ZD) method to design ZD stabilization controller, but also adopt zeroing-gradient (also called Zhang-gradient, ZG) method to design ZG stabilization controller. Through numerical experiments,...
In this paper, the finite-time boundedness (FTB) and the finite-time stability (FTS) for fractional order linear time invariant (LTI) systems are studied. By using the generalized Gronwall inequality, the sufficient conditions expressed in terms of matrix inequality to guarantee the FTB and FTS are derived. The proposed conditions are less conservative than the the ones in recent literature. Based...
How to bound the state vector trajectory of a nonlinear system in a way so that the obtained bound be of practical value is an open problem. If some norm is employed for bounding the state vector trajectory, then this norm should be carefully selected and the state vector components suitably scaled. In addition, practical applications usually require separate bounds on every state variable. Bearing...
In context of human-machine-interaction trajectories need to be rerouted or re-planned with reduced dynamical constraints in order to avoid collisions. This requires online feasible algorithm for trajectory planning in space. In this paper a new method for planning time-optimal trajectories subject to dynamic and geometrical constraints is proposed. Distinctively to other work, both spatial and temporal...
The paper addresses the finite time stability analysis of continuous-time LTI systems. Based on its definition, the necessary and sufficient condition can be derived easily. Verification of the condition is almost impossible because an infinite numbers of checking points are required. Therefore, by using the well-known Bellman-Gronwall inequality, a set of more efficient and practical LMI-based conditions...
Metzler matrices are algebraically characterized by having nonnegative off-diagonal entries and, from the dynamical point of view, define continuous-time positive systems. Our work studies polytopes of Metzler matrices and linear dynamics generated by such sets. The first part of the paper explores the algebraic properties of matrix polytopes, by focusing on the estimation of a right outer bound for...
The problem of the state tracking over a finite-time interval is concerned in this paper. Based on the average dwell-time method, both matched and unmatched cases are considered in the system. To make the state tracking error is finite-time bounded and the considered system achieves a weighted H∞ performance for the exogenous disturbance, the switching law is designed by the states error. Sufficient...
In this paper, we consider the problem of predictive control for a class of coupled linear systems. By solving a set of local optimization problems with decoupled cost functions and constraints, an event-triggered decentralized predictive control (DPC) scheme is proposed. The event-triggering conditions only involving local information of every subsystem is derived and sufficient conditions of the...
The paper addresses the finite time stability analysis of continuous-time LTI systems. Based on its definition, the necessary and sufficient condition can be easily derived. Since verification of the condition is almost impossible because it requires computation at an infinite numbers of time points, a set of more efficient and practical LMI-based conditions for solving the problem is obtained. The...
Iterative learning control (ILC) is an important method for networked control systems and it uses the control information several times before to form the current control input signal [1]. Nowadays, ILC has developed maturely, but its output signal may cannot track the desired trajectory accurately because of the channel noise of wireless transmission. In this paper, we introduce the Adaptive Fourier...
In this paper, we are concerned with the performance output reference signal tracking for a heat equation with matched boundary disturbance. Firstly, we construct a state reference trajectory system based on the reference signal, and prove this observer system is bounded. Secondly, we design a performance output tracking controller, which can make the performance output is tracking the reference signal...
A stability preserving interpolation method is proposed for parametric SISO LTI systems with a scalar parameter. The proposed method is based on the geometrical interpolation of the poles. The poles travel on a certain trajectory while the scalar parameter changes and samples of these trajectories are known. Since the real trajectories are unknown between samples artificial trajectories are proposed...
The paper exploits the convergence characteristics of the first- and second-order PI-type iterative learning control (ILC) schemes for linear time-invariant (LTI) systems with direct-through terms. The aim is to investigate the effects of the integration embedments into the conventional P-type ILC rule. In the exploitation, the tracking errors are assessed in the form of the Lebesgue-p norm and the...
A new control-oriented credibility assessment method of air-breathing hypersonic vehicle model is presented in this paper. As the actual aerodynamic parameters are few, a new method of obtaining linear systems of the Model Awaiting Assessment (MAA) and the Actual Model (AM) is presented to comprehensively evaluate the changing trends of flight conditions. In order to assess the credibility of hypersonic...
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