This paper deals with the problem of H ∞ fuzzy control design with an input constraint for a class of coupled systems, which consist of an n-dimensional nonlinear subsystem of ordinary differential equations (ODEs) ...
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This paper deals with the problem of H ∞ fuzzy control design with an input constraint for a class of coupled systems, which consist of an n-dimensional nonlinear subsystem of ordinary differential equations (ODEs) and a scalar linear parabolic subsystem of partial differential equation (PDE) connected in feedback. Initially, the nonlinear coupled system is represented by a Takagi-Sugeno (T-S) fuzzy-coupled ODE-PDE model. Then, based on the fuzzy model and parallel distributed compensation scheme, a fuzzy state feedback control design is developed via Lyapunov's direct method, such that the resulting closed-loop fuzzy-coupled system is exponentially stable, and a prescribed H ∞ performance of disturbance attenuation is satisfied. The existing condition of the proposed H∞ fuzzy controllers is given in terms of linear matrix inequalities (LMIs). Moreover, in order to make the attenuation level as small as possible while the input constraint is respected to avoid the high magnitude, a suboptimal H ∞ -constrained fuzzy control problem is also addressed, which is formulated as an LMI optimization problem. Finally, the proposed method is applied to the control of a hypersonic rocket car to illustrate its effectiveness.
A nonlinear robust controller was presented to improve the tracking control performance of a flexible air-breathing hypersonic vehicle(AHV) which is subjected to system parametric uncertainties and unknown additive ti...
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A nonlinear robust controller was presented to improve the tracking control performance of a flexible air-breathing hypersonic vehicle(AHV) which is subjected to system parametric uncertainties and unknown additive time-varying *** longitudinal dynamic model for the flexible AHV was used for the control ***-gain observers were designed to compensate for the system uncertainties and additive *** gain theorem and Lyapunov based stability analysis were utilized to prove the stability of the closed loop *** uniformly ultimately bounded tracking of the vehicle's velocity,altitude and attack angle were achieved under aeroelastic effects,system parametric uncertainties and unknown additive ***/Simulink simulation results were provided to validate the robustness of the proposed control *** simulation results demonstrate that the tracking errors stay in a small region around zero.
Many process synthesis and design problems in engineering are actually mixed integer nonlinear programming problems (MINLP), because they contain both continuous and integer variables. These problems are generally rec...
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In this paper, a novel critic-identifier-actor optimal control scheme is designed for discrete-time affine nonlinear systems with uncertainties. A neural identifier is established to learn the unknown control coeffici...
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In this paper, a novel critic-identifier-actor optimal control scheme is designed for discrete-time affine nonlinear systems with uncertainties. A neural identifier is established to learn the unknown control coefficient matrix for affine nonlinear system working together with an actor-critic-based scheme to solve the optimal control in online and forward-in-time manner without value or policy iterations. A critic network learns approximate value function at each step. Another actor network attempts to improve the current policy based on the approximate value function. The weights of all neural networks (NNs) are updated at each sampling instant. Lyapunov theory is utilized to prove the stability of the closed-loop system. A simulation example is provided to illustrate the effectiveness of the developed method.
In this work,a finite-horizon optimal control problem for first-order plus time delay(FOPTD) processes is *** show that if the control horizon is greater than three and the prediction horizon is great than the control...
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In this work,a finite-horizon optimal control problem for first-order plus time delay(FOPTD) processes is *** show that if the control horizon is greater than three and the prediction horizon is great than the control horizon plus the time delay in discrete time,the optimal controller is not affected by either of the two ***,under these conditions,the controller parameters are explicitly calculated,the closed-loop system is shown to be stable,and the controller is *** problem considered is related to the results on linear quadratic regulation of linear systems with time delays;however,the detailed parameterization of the state-space model introduced by the FOPTD process provides an additional opportunity to investigate the exact controller structure and properties(e.g.,the locations of the closed-loop poles),which are also the major difficulties encountered and overcome in this *** problem is motivated from phenomena experienced in designing industrial model predictive control(MPC) tuning algorithms,and extensive numerical examples indicate that the proposed results speed up the MPC autotuning algorithms by 70%.
There is hard to obtain the harmonic parameters exactly for the fast Fourier transform in situation of non-synchronous sampling. The cosine window and triple-spectrum-line interpolation FFT algorithm is presented to r...
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ISBN:
(纸本)9781510812055
There is hard to obtain the harmonic parameters exactly for the fast Fourier transform in situation of non-synchronous sampling. The cosine window and triple-spectrum-line interpolation FFT algorithm is presented to reduce spectral leakage and improve the accuracy of harmonic analysis. The windowed FFT transform is applied to the sampling signal using a good sidelobe characteristic window and discrete spectrum lines are obtained. The weighted arithmetic is operated by using three spectrum lines near the harmonic frequency point and the applicable rectifications of triple-spectrum-line FFT are deduced. Simulation results show that the algorithm has a higher accuracy of harmonic analysis compared with the cosine windowed double interpolation FFT in non-synchronized sampling.
Considering the air-breathing hypersonic vehicle (AHV) system with strong nonlinearity and external disturbance, an off-line robust model predictive controller (RMPC) is presented based on the polytopic LPV model unde...
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ISBN:
(纸本)9781479987313
Considering the air-breathing hypersonic vehicle (AHV) system with strong nonlinearity and external disturbance, an off-line robust model predictive controller (RMPC) is presented based on the polytopic LPV model under the effects of disturbances. Firstly, Jacobian linearization and tensor-product modeling method are used to approximately transform the nonlinear AHV system into a polytopic LPV model, which provides the condition to establish the RMPC controller by linear matrix inequality (LMI). Secondly, the application of norm-bounding technology makes the errors between real-time states with disturbance and the reference setpoint states restricted into an invariant ellipsoid. Simulation has demonstrated the effectiveness of the proposed approach.
In this paper, the leader-following consensus problem of multi-agent systems with nonlinear heterogeneous dynamics and switching topologies is considered. All agent outputs are required to track a leader output which ...
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ISBN:
(纸本)9781467374439
In this paper, the leader-following consensus problem of multi-agent systems with nonlinear heterogeneous dynamics and switching topologies is considered. All agent outputs are required to track a leader output which is assumed as a desired value. By input-output feedback linearization, the nonlinear heterogeneous system is decomposed into equivalent linear systems and internal dynamics. Then a distributed auxiliary controller for every agent using local information is designed and a sufficient consensus condition is given under switching topologies with every possible topology containing a directed spanning ***, it is proved that the consensus can be achieved with the same condition for multi-agent systems under switching topologies frequently containing a directed spanning tree. Simulation results verify the effectiveness of the control protocol.
IN recent years,unmanned aerial vehicles(UAVs)have been widely employed in different applications,both military and ***,a fast growing civil UAV market is predicted over the next ***,most currently developed UAVs depe...
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IN recent years,unmanned aerial vehicles(UAVs)have been widely employed in different applications,both military and ***,a fast growing civil UAV market is predicted over the next ***,most currently developed UAVs depend on simple control *** require exact modeling of the UAVs dynamics and are vulnerable to external ***,there is great
The magneto-rheological(MR) suspension system has been established,by employing the modified Bouc-wen force-velocity(F-v) model of magneto-rheological damper(MRD).The possibility of chaotic motions in MR suspension is...
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The magneto-rheological(MR) suspension system has been established,by employing the modified Bouc-wen force-velocity(F-v) model of magneto-rheological damper(MRD).The possibility of chaotic motions in MR suspension is discovered by employing nonlinear systems stability *** the bifurcation diagram and corresponding Lyapunov exponent spectrum diagrams detected through numerical calculation,we can observe the complex dynamical behaviors and oscillating mechanism of alternating periodic oscillations,quasi-periodic oscillations and chaotic oscillations with different profiles of road excitation,as well as the dynamical evolution to chaos by period-doubling bifurcations,saddle-node bifurcations and reverse period-doubling bifurcations.
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