Stabilization of a class of uncertain nonlinear affine systems subject to control constraints

Networked Control Systems (NCSs) has been recognized as an area where theory is behind the development of technology. The defining feature of NCSs can be considered as the information is exchanged through a network among control system components. So the network induced time delay is inevitable in NCSs. This time delay, either constant (up to jitter) or random, may degrade the performance of control systems and even destabilize the systems if the systems are designed without considering the effects of the time delays properly. Once the structure of NCS is confirmed, it is essential to identify what the maximum time delay is allowed for maintaining the system stability which, in turn, is also associated with the process of controller design. In this paper, a new finite difference approach is proposed for estimating the maximum time-delay tolerance in output feedback NCSs. The method is applied to dynamic feedback controller NCSs and the results are compared with the ones published in the literature.

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“…for 0 x ≠ ∀ , Goodall et al, 2001. Taking the derivative of (19), If τ is small enough then (22) can be given as:…”

Section: Controller τmentioning

confidence: 99%

A new stability analysis and time-delay tolerance estimation approach for output feedback networked control systems

Khalil

Wang

2010

UKACC International Conference on CONTROL 2010

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“…In general mathematical models of dynamical systems are usually imprecise due to modelling errors and exogenous disturbances [12]. Equation (23) can be considered as the nominal part of the system model and the uncertainty can be modelled as an additive perturbation to the nominal system model; more specifically, the structure of the system has the forṁ…”

Section: Stability Analysismentioning

confidence: 99%

“…Since ( ( ), ) is directly mapped into the "control" space of ( ) it can be considered as a matched uncertainty. ( , ( ), ) is unknown and it does belong to the control space of ( ); so it represents the mismatched uncertainty in the system [12].…”

Section: Lemma 1 Defining a Lyapunov Function (28) And Choosing The mentioning

confidence: 99%

Stability Analysis of a Helicopter with an External Slung Load System

Thanapalan

2016

Journal of Control Science and Engineering

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This paper describes the stability analysis of a helicopter with an underslung external load system. The Lyapunov second method is considered for the stability analysis. The system is considered as a cascade connection of uncertain nonlinear system. The stability analysis is conducted to ensure the stabilisation of the helicopter system and the positioning of the underslung load at hover condition. Stability analysis and numerical results proved that if desired condition for the stability is met, then it is possible to locate the load at the specified position or its neighbourhood.

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“…The objective for the next step is to find the range of that will ensure (V( ) < 0 ∀x ̸ = 0) [25][26][27]. Taking the derivative of (18),…”

Section: Mathematical Analysismentioning

confidence: 99%

Stability and Time Delay Tolerance Analysis Approach for Networked Control Systems

Khalil

Wang

2015

Mathematical Problems in Engineering

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Networked control system is a research area where the theory is behind practice. Closing the feedback loop through shared network induces time delay and some of the data could be lost. So the network induced time delay and data loss are inevitable in networked control Systems. The time delay may degrade the performance of control systems or even worse lead to system instability. Once the structure of a networked control system is confirmed, it is essential to identify the maximum time delay allowed for maintaining the system stability which, in turn, is also associated with the process of controller design. Some studies reported methods for estimating the maximum time delay allowed for maintaining system stability; however, most of the reported methods are normally overcomplicated for practical applications. A method based on the finite difference approximation is proposed in this paper for estimating the maximum time delay tolerance, which has a simple structure and is easy to apply.

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Stabilization of a class of uncertain nonlinear affine systems subject to control constraints

Cited by 4 publications

References 20 publications

A new stability analysis and time-delay tolerance estimation approach for output feedback networked control systems

A new stability analysis and time-delay tolerance estimation approach for output feedback networked control systems

Stability Analysis of a Helicopter with an External Slung Load System

Stability and Time Delay Tolerance Analysis Approach for Networked Control Systems

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