In allusion to a class of single-species differential model with harvesting coefficient, chaotic phenomena are validated from numerical value by applying the Lyapunov exponent method. By applying nonlinear feedback co...
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In allusion to a class of single-species differential model with harvesting coefficient, chaotic phenomena are validated from numerical value by applying the Lyapunov exponent method. By applying nonlinear feedback control principle, a nonlinear feedback controller is designed to eliminate population chaotic phenomenon and make population stabilize in the trajectory of period-2. Simulation results show the correctness of conclusions.
In allusion to a difference equation of single-species models with harvesting coefficient, the presence of chaotic phenomenon is validated by computing Lyapunov exponent and giving its change with the parameter. Tiny ...
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In allusion to a difference equation of single-species models with harvesting coefficient, the presence of chaotic phenomenon is validated by computing Lyapunov exponent and giving its change with the parameter. Tiny control based on the basic ideas in the classical OGY method and tracking control based on the exact feedback linearization are used to control chaos in the model respectively, we obtain the following results: 1) the sufficient conditions of the species that stabilizes in the fixed points and the trajectory of period-2 are obtained and chaotic phenomenon is eliminated; 2) any orbits can be reached by using tracking control method. Contrast on two kinds of control method, we draw the conclusion that tracking control method is more flexible than the OGY method. The effectiveness of the conclusions are validated by simulation.
A novel multi-objective optimal short-term power terminate planning in a multi-zone power system was presented. Both dissatisfaction degree of dwellers and economic loss were considered in this model. At first, the di...
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A novel multi-objective optimal short-term power terminate planning in a multi-zone power system was presented. Both dissatisfaction degree of dwellers and economic loss were considered in this model. At first, the dissatisfaction degree function of residents was constructed;secondly, each single-objective deterministic model was solved so that its objective value was got along with the results of unit commitment and power dispatch, then the power terminate distribution strategy of peak load shifting control was analyzed and the power terminate time of peak load shifting control was selected. Finally, the multi-objective programming problem was reformulated into weighted nonlinear single objective programming problem so as to get the optimal power terminate distribution of each zone. The numerical results demonstrate that the scheme obtained from the multi-objective model can meet functions better than that obtained from the single-objective deterministic model with slight variation in the every single-objective. This method of decision making is significant for sustainable development strategy and the multi-factor justice of power distribution for peak load shifting control planning.
In this paper, a robust controller for an airplane with multiple operating points is proposed based on the methodology of sliding mode. A sufficient condition for the existence of linear sliding surface is expressed a...
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In this paper, a robust controller for an airplane with multiple operating points is proposed based on the methodology of sliding mode. A sufficient condition for the existence of linear sliding surface is expressed as a set of linear matrix inequalities (LMIs). The sliding mode control law with a finite reaching time is deduced in terms of Lyapunov stability theory. The DR-stability of the reduced-order system on the sliding mode surface is proven theoretically. Simulation results show the validity of the robust controller.
This paper concerns the problem of robust stability analysis and control synthesis for a polytopic system with time-varying delays via parameter-dependent Lyapunov functions. By a relaxation approach with slack matric...
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This paper concerns the problem of robust stability analysis and control synthesis for a polytopic system with time-varying delays via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation, a new robust delay dependent stability criterion is expressed as a set of linear matrix inequalities (LMIs) with less computational burden. This criterion can be employed for robust controller synthesis. The obtained stabilizability criterion is applied to design a flight controller for aircraft dynamic systems with multiple operating points. The simulation results illustrate the effectiveness of the proposed approach.
The problem of minimax robust control for structured uncertain time-delay systems is dealt with. The existence conditions of minimax robust controller in the form of LMI are derived in the sense of Lyapunov theory and...
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The problem of minimax robust control for structured uncertain time-delay systems is dealt with. The existence conditions of minimax robust controller in the form of LMI are derived in the sense of Lyapunov theory and by the definite equivalent transform for static structured uncertain time-delay systems with multiplicative time quadratic performance cost. The convex optimization algorithm is introduced to get the minima upper bound of performance cost and the optimal parameter of minimax controller. The existence conditions of minimax robust controller are presented for time-delay systems of which structured uncertainties satisfy dynamical integral quadratic constraints (IQC). Simulation results show that the designed controller can shorten the state attenuation time effectively.
This paper addresses stability analysis and robust stabilization for nonlinear systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy model with parametric uncertainties is used as the mode...
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This paper addresses stability analysis and robust stabilization for nonlinear systems in the presence of parametric uncertainties. The Takagi-Sugeno (T-S) fuzzy model with parametric uncertainties is used as the model for the uncertain nonlinear system. Both continuous-time and discrete-time cases of the T-S fuzzy system are considered. In the two cases, sufficient conditions are proposed for robust stabilization in the sense of Lyapunov asymptotic stability, which are represented in the form of linear matrix inequalities. Finally, the T-S fuzzy model of the chaotic Lorenz system, which has complex nonlinearity, is developed as a simulation platform. The validity and applicability of the proposed approach are successfully demonstrated by means of the numerical simulation for the continuous-time nonlinear system.
The two-stage Unscented Kalman Filter (TUKF) is proposed to consider the nonlinear system in the presence of unknown random bias in a number of practical situations. The adaptive fading UKF is designed by using the fo...
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The two-stage Unscented Kalman Filter (TUKF) is proposed to consider the nonlinear system in the presence of unknown random bias in a number of practical situations. The adaptive fading UKF is designed by using the forgetting factor to compensate the effects of incomplete information. The TUKF to estimate unknown random bias is designed by using the adaptive fading UKF. This filter can be used for nonlinear systems with unknown random bias on the assumption that the stochastic information of a random bias is incomplete. The stability of the TUKF is analyzed and ensured under certain conditions. The performance of the TUKF is verified by using MATLAB simulation on the high-update rate Wheel Mobile robot (WMR).
For the Asynchronous Transfer Mode (ATM) networks with time-varying multiple time-delays, a more realistic model for the available bit rate (ABR) traffic class with explicit rate feedback is introduced. A fuzzy-im...
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For the Asynchronous Transfer Mode (ATM) networks with time-varying multiple time-delays, a more realistic model for the available bit rate (ABR) traffic class with explicit rate feedback is introduced. A fuzzy-immune controller is designed, which can adjust the rates of ABR on-line, overcome the bad effect caused by the saturation nonlinearity and satisfy the weighted fairness. Also, the sufficient condition that guarantees the stability of the closed-loop system with a fuzzy-immune controller is presented in theory for the first time. The algorithm exhibits good performance, and most importantly, has a solid theoretical foundation and can be implemented in practice easily. Simulation results show that the control system is rapid, adaptive, robust, and meanwhile, the quality of service (QoS) is guaranteed.
According to the demand of integrated production and the characteristic of charge plan in the steel industry, firstly, use graph theory to describe charge plan;Secondly, a bi-objective charge plan model is introduced ...
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According to the demand of integrated production and the characteristic of charge plan in the steel industry, firstly, use graph theory to describe charge plan;Secondly, a bi-objective charge plan model is introduced in detail considering weight range, flow limitation and other factors;To solve this model, a two-phase heuristic algorithm (THA) is introduced, which deals with the simple graph with vertex clustering method firstly, and then design a novel probability match algorithm to solve the optimization model;Finally, the simulation with large-scale production data shows that the model and algorithm is feasible.
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