State-Space Control Systems: The MATLAB\registered/Simulink\registered{} Approach

2020 ◽  
Vol 5 (1) ◽  
pp. 1-169
Author(s):  
Farzin Asadi
Keyword(s):  
State Space ◽  
Control Systems

Quantitative Models for Complex Physical Systems

2014 ◽  
Vol 1061-1062 ◽  
pp. 1144-1147
Author(s):  
Jun Fu ◽  
Jin Zhao Wu ◽  
Ning Zhou ◽  
Hong Yan Tan
Keyword(s):  
Quantitative Analysis ◽  
State Space ◽  
Control Systems ◽  
Chemical Reaction ◽  
Metric Space ◽  
Manufacturing Systems ◽  
Quantitative Model ◽  
Hybrid Automata ◽  
Physical Systems ◽  
The Difference

We present a quantitative model, called metric hybrid automata, for quantifying the behaviors of complex physical systems, such as chemical reaction control systems, manufacturing systems etc. Due to the introduction of a metric, the state space of hybrid automata forms a metric space, in which the difference of states can be quantified. Furthermore, in order to reveal the distance of system behaviors, we construct the simulation distance and the bisimulation distance, which quantify the similarity of system behaviors. Our model provides the basis for quantitative analysis for those complex physical systems.

On Uniqueness of Filippov’s Solutions for Non-Smooth Systems Having Multiple Discontinuity Surfaces With Applications to Control Engineering

2004 ◽  
Author(s):  
Qiong Wu ◽  
Hairong Zeng ◽  
Nariman Sepehri
Keyword(s):  
Control System ◽  
State Space ◽  
Control Systems ◽  
Convex Sets ◽  
Discontinuity Surface ◽  
Control Engineering ◽  
Smooth Control ◽  
Discontinuity Surfaces ◽  
Uniqueness Of The Solution

The analysis of the uniqueness of Filippov’s solutions to non-smooth control systems is important before the solutions can be sought. Such an analysis is extremely challenging when the discontinuity surface is the intersecting discontinuity surfaces. The key step is to study the intersections of the convex sets from Filippov’s inclusions and the sets containing vectors tangent to the discontinuity surfaces. Due to the fact that all the elements of these sets are functions of the states and time and their numerical values can not be obtained before the uniqueness of the solution is analyzed, the determination of such intersections, symbolically, is extremely difficult. In this paper, we propose to firstly transform the control system to a new state space where the discontinuity surfaces can be written in special forms. Secondly, we expand the sets associated with Filippov’s inclusion such that the determinations of the intersections become feasible. Two examples of practical non-smooth control systems are presented to demonstrate the efficacy of the method.

scholarly journals On Partial Complete Controllability of Semilinear Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Agamirza E. Bashirov ◽  
Maher Jneid
Keyword(s):  
Differential Equation ◽  
State Space ◽  
Control Systems ◽  
Order Differential Equation ◽  
Sufficient Condition ◽  
Complete Controllability ◽  
Semilinear Systems ◽  
First Order ◽  
Partial Controllability ◽  
First Order Differential Equations

Many control systems can be written as a first-order differential equation if the state space enlarged. Therefore, general conditions on controllability, stated for the first-order differential equations, are too strong for these systems. For such systems partial controllability concepts, which assume the original state space, are more suitable. In this paper, a sufficient condition for the partial complete controllability of semilinear control system is proved. The result is demonstrated through examples.

On accessibility conditions for state space nonlinear control systems on homogeneous time scales

2016 ◽  
Vol 98 ◽  
pp. 8-13 ◽  
Author(s):  
Z. Bartosiewicz ◽  
Ü. Kotta ◽  
T. Mullari ◽  
M. Tõnso ◽  
M. Wyrwas
Keyword(s):  
Nonlinear Control ◽  
State Space ◽  
Control Systems ◽  
Time Scales ◽  
Nonlinear Control Systems
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