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Synthesizing Scheduled Robust Model Predictive Control with Target Tracking

International Journal of Automation and computing 2012年第4期9卷 337-341页

作者： Zhang, Li Gao, Xian-Wen School of Information Science and Engineering Northeastern University Shenyang 110819 China School of Mechanical Electrical and Information Engineering Shandong University at Weihai Weihai 264209 China

Systems with large operating regions and non-zero state.target tracking have limited the industrial application of robust model predictive control (RMPC) with synthetic action. To overcome the problem, this paper presents a novel formulation of synthesizing scheduled RMPC for linear time varying (LTV) systems. Off-line, we compute the matrix that transforms target output into steady state.first. Then a set of stabilizing state.feedback laws which are corresponding to a set of estimated regions of stability covering the desired operating region are provided. On-line, these control laws are implemented as a single scheduled state.feedback model predictive control (MPC) which switches between the set of local controllers and achieve the desired target at last. Finally, the algorithm is illustrated with an example.

关键词： Model predictive control (MPC) scheduled tracking linear matrix inequalities (LMI) target tracking steady state.

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Local Stability Analysis of a Curzon-Ahlborn Engine without Ideal Gas Working at the Maximum Ecological Regime

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Journal of Energy and Power Engineering 2013年第5期7卷 928-936页

作者： Ricardo Paiez Hernandez Delfino Ladino Luna Pedro Portillo Diaz Marco A Barranco Jimenez Irreversible Processes Physics Research Group Basic Sciences Department Metropolitan Autonomous University CampusAzcapotzalco Distrito Federal 02200 Mdxico Basic Sciences Department Metropolitan Autonomous University Campus Azcapotzalco Distrito Federal 02200 M~xico Information Technology School of the National Polytechnic Institute Distrito Federal 07738 Mexico

In this work, the stability of an endoreversible Curzon-Ahlbom engine is analyzed, using Van der Waals gas as a working substance and the corresponding efficiency for this engine working at temperatures withinthe maximum ecological regime. By mean s of a local stability analysis we find that a critical point of an almost linear system is stable andanalytically expressed in eigenvalues. After an arbitrarily small perturbation, the system state.exponentially decays to a critical point, with either of two characteristic relaxation times, which are a function of the thermal conductance （a）, heat capacity （C） and T=T2/T1. The behavior of relaxation times and solution of the systems are qualitatively shown by sketching its phase portrait, which results susceptible to operating regimes, i.e., the eigenvectors in the maximum ecological regime have a clockwise rotation with respect to the eigenvectors in the regime of maximumpower. Finally, it has to observe that afterto λvw = 1, approximation,ηVWE=4^-3ηC is obtained, where ηVWE is the Van der Waals efficiency atrnaximum ecological regime and r/c is Carnot＇s efficiency. Finally, it discussed the local stability and steady state.of the energetic properties of the endoreversible engine.

关键词： Ecological regime dynamics Van der Waals equation stability steady state.

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