Exact linearization of discrete-time nonlinear systems using state space transformation

2002 ◽  
Author(s):  
G. Jayaraman ◽  
H.J. Chizeck
Keyword(s):  
Nonlinear Systems ◽  
State Space ◽  
Discrete Time ◽  
Exact Linearization ◽  
Space Transformation ◽  
State Space Transformation

scholarly journals Identification of Power Network Branch Parameters Based on State Space Transformation

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 91720-91730 ◽  
Author(s):  
Haibo Zhang ◽  
Zhiwei Diao ◽  
Yunfeng Cui
Keyword(s):  
State Space ◽  
Power Network ◽  
Space Transformation ◽  
State Space Transformation

scholarly journals Fuzzy Predictive Fault-Tolerant Control for Time-Delay Nonlinear Systems with Partial Actuator Failures

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-20 ◽  
Author(s):  
Huiyuan Shi ◽  
Ping Li ◽  
Chengli Su ◽  
Jingxian Yu
Keyword(s):  
Nonlinear Systems ◽  
State Space ◽  
Discrete Time ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Fault Tolerant Control ◽  
Model Description ◽  
Time Varying ◽  
Actuator Failures ◽  
Stable Conditions

A fuzzy predictive fault-tolerant control (FPFTC) scheme is proposed for a wide class of discrete-time nonlinear systems with uncertainties, interval time-varying delays, and partial actuator failures as well as unknown disturbances, in which the main opinions focus on the relevant theory of FPFTC based on Takagi-Sugeno (T-S) fuzzy model description of these systems. The T-S fuzzy model represents the discrete-time nonlinear system in the form of the discrete uncertain time-varying delay state space, which is firstly constructed by a set of local linear models and the nonlinear membership functions. The novel improved state space model can be further obtained by extending the output tracking error to the constructed model. Then the fuzzy predictive fault-tolerant control law based on this extended model is designed, which can increase more control degrees of freedom. Utilizing Lyapunov-Krasovskill theory, less conservative delay-range-dependent stable conditions in terms of linear matrix inequality (LMI) constraints are given to ensure the asymptotically robust stability of closed-loop system. Meanwhile, the optimized cost function and H-infinity performance index are introduced to the stable conditions to guarantee the robust performance and antidisturbance capability. The simulation results on the temperature control of a strong nonlinear continuous stirred tank reactor (CSTR) show that the proposed control scheme is feasible and effective.

scholarly journals Reliable Modeling of Ideal Generic Memristors via State-Space Transformation

2015 ◽  
Vol 24 (2) ◽  
pp. 393-407 ◽  
Author(s):  
Z. Biolek ◽  
D. Biolek ◽  
V. Biolkova ◽  
Z. Kolka
Keyword(s):  
State Space ◽  
Space Transformation ◽  
State Space Transformation

Column-wise relative degree and it’s properties

2018 ◽  
Vol 1 (3) ◽  
Author(s):  
Andrey Vladimirovich Kraev 1 ◽  
A. I. Rogovskiy 1
Keyword(s):  
Control Theory ◽  
State Space ◽  
Canonical Form ◽  
Mathematical Problem ◽  
Relative Degree ◽  
Zero Dynamics ◽  
Space Transformation ◽  
The Subject ◽  
Linear State ◽  
State Space Transformation

Many questions of control theory are well studied for systems which satisfy to the relative degree definition. If this definition is fulfilled then there exists linear state-space transform reducing system to a very convenient canonical form where zero dynamics is a part of system’s equations. Algorithms of such reduction are well-known. However, there exist systems which don’t satisfy this definition. Such systems are the subject of investigation in the presented paper. To investigate their properties here we suggest to consider an analogue of the classical relative degree definition – the so-called column-wise relative degree. It turned out that this definition is satisfied in some cases when classical relative degree doesn’t exist. We introduce this notion here, investigate it properties and suggest algorithm for reducing systems to the column-wise relative degree compliant form if possible. It is possible to show that systems with column-wise relative degree also can be reduced to a convenient canonical form by a linear state-space transformation. Some problems arise from the fact that some systems which do not have relative degree can be reduced to a form with it using linear inputs or outputs transform. Here we show that this is an interesting mathematical problem, which can be solved with the help of properties of relative degree, formulated and proved in this paper.

scholarly journals A Nearer Optimal and Faster Trained Value Iteration ADP for Discrete-Time Nonlinear Systems

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 14933-14944
Author(s):  
Junping Hu ◽  
Gen Yang ◽  
Zhicheng Hou ◽  
Gong Zhang ◽  
Wenlin Yang ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Value Iteration
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