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Approximate Bisimulations for Constrained Discrete-Time Linear Systems
Guoqi Ma,Linlin Qin,Xinghua Liu,Chun Shi,Gang Wu 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
In this paper, we consider the problem of approximate bisimulations for constrained discrete-time linear systems. First, we develop a theory of approximation for transition systems with nondeterministic evolution. Then observation metrics are used to describe the bounded distance between system observations. Furthermore, we utilize a class of Lyapunov-like functions, called bisimulation functions, to characterize the approximate bisimulation relations. For the class of discrete-time linear systems with constrained inputs, we convert the problem of computing bisimulation functions to linear matrix inequalities (LMIs) and optimization problems. Finally, a numerical example is performed to verify the effectiveness of the approximation bisimulation framework design technique, and using multi-parametric toolbox (MPT), we also demonstrate the application to safety verification.
Short-Term Prediction of Disturbance Inputs of the Greenhouse System
Guoqi Ma,Linlin Qin,Xinghua Liu,Chun Shi,Gang Wu 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
Greenhouse microclimate control system is a typical hybrid system, in which the discrete (or logical) variables and continuous variables interact. The existence of outside measurable but uncontrollable disturbance inputs including outside temperature, humidity, wind speed, solar radiation, and et al, makes the control problem of greenhouse microclimate a challenging one and some conventional control methods not applicable, which motivates us to investigate the prediction problem of disturbance inputs of greenhouse control system. First, grey prediction model GM (1, 1) and time series model ARIMA (p, d, q) are adopted to predict the outside humidity over the next four hours, respectively. Then, considering the nonstationary property of the humidity sequence, wavelet analysis theory is applied to decompose the humidity sequence into different scales in order to reduce the randomness of the original sequence. Furthermore, the low frequency signal and high frequency one are predicted by GM (1, 1) and time series model ARIMA (p, d, q), respectively. Finally, simulation studies are carried out to compare the three prediction methods.
Terminal sliding mode control of master-slave system with Markovian jump parameters
Xinghua Liu,Guoqi Ma,Hongsheng Xi,Weidong Wang 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
The finite-time synchronization of master-slave system with Markovian jump parameters is investigated in this paper. An equivalent control based terminal sliding mode control is proposed to guarantee the finite-time convergence of error dynamics. By using stochastic theory and Lyapunov method, some conditions are proposed to facilitate the sliding surface design. Furthermore, a desired controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. Finally numerical simulations are presented to illustrate the effectiveness of terminal sliding mode control scheme.
Amini, Mandana,Ma, Chun-lei,Farazifard, Rasoul,Zhu, Guoqi,Zhang, Yi,Vanderluit, Jacqueline,Zoltewicz, Joanna Susie,Hage, Fadi,Savitt, Joseph M.,Lagace, Diane C.,Slack, Ruth S.,Beique, Jean-Claude,Baud Society for Neuroscience 2013 The Journal of neuroscience Vol.33 No.13
<P>Ubiquitous classical (typical) calpains, calpain-1 and calpain-2, are Ca<SUP>+2</SUP>-dependent cysteine proteases, which have been associated with numerous physiological and pathological cellular functions. However, a clear understanding of the role of calpains in the CNS has been hampered by the lack of appropriate deletion paradigms in the brain. In this study, we describe a unique model of conditional deletion of both calpain-1 and calpain-2 activities in mouse brain, which more definitively assesses the role of these ubiquitous proteases in brain development/function and pathology. Surprisingly, we show that these calpains are not critical for gross CNS development. However, calpain-1/calpain-2 loss leads to reduced dendritic branching complexity and spine density deficits associated with major deterioration in hippocampal long-term potentiation and spatial memory. Moreover, calpain-1/calpain-2-deficient neurons were significantly resistant to injury induced by excitotoxic stress or mitochondrial toxicity. Examination of downstream target showed that the conversion of the Cdk5 activator, p35, to pathogenic p25 form, occurred only in the presence of calpain and that it played a major role in calpain-mediated neuronal death. These findings unequivocally establish two central roles of calpain-1/calpain-2 in CNS function in plasticity and neuronal death.</P>