scholarly journals Robust Control of the Knee Joint Angle of Paraplegic Patients considering Norm-Bounded Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Nilson Moutinho dos Santos ◽  
Ruberlei Gaino ◽  
Márcio Roberto Covacic ◽  
Marcelo Carvalho Minhoto Teixeira ◽  
Aparecido Augusto de Carvalho ◽  
...  
Keyword(s):  
Knee Joint ◽  
State Space ◽  
Control Systems ◽  
Position Control ◽  
Space Representation ◽  
Linear Matrix ◽  
State Space Representation ◽  
The Matrix ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

A proposal for the knee position control design of paraplegic patients with functional electrical stimulation (FES) using control systems and considering norm-bounded uncertainties is presented. A state-space representation of the knee joint model of the paraplegic patient with its nonlinearity is also demonstrated. The use of linear matrix inequalities (LMIs) in control systems with norm-bounded uncertainties for asymptotic stability is analyzed. The model was simulated in the Matlab environment. The matrixKof state space feedback was obtained through LMIs.

scholarly journals Delay-Dependent Exponential Optimal Synchronization for Nonidentical Chaotic Systems via Neural-Network-Based Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Feng-Hsiag Hsiao
Keyword(s):  
Neural Network ◽  
State Space ◽  
Direct Method ◽  
Exponential Synchronization ◽  
Disturbance Attenuation ◽  
Space Representation ◽  
Linear Matrix ◽  
Multiple Time ◽  
State Space Representation ◽  
Delay Dependent

A novel approach is presented to realize the optimal exponential synchronization of nonidentical multiple time-delay chaotic (MTDC) systems via fuzzy control scheme. A neural-network (NN) model is first constructed for the MTDC system. Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of the NN model. Based on this LDI state-space representation, a delay-dependent exponential stability criterion of the error system derived in terms of Lyapunov's direct method is proposed to guarantee that the trajectories of the slave system can approach those of the master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). According to the LMI, a fuzzy controller is synthesized not only to realize the exponential synchronization but also to achieve the optimal performance by minimizing the disturbance attenuation level at the same time. Finally, a numerical example with simulations is given to demonstrate the effectiveness of our approach.

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