Categories in systems and control theory

Dimirovski, Georgi M.; Gough, N.E.; Barnettj, S.

doi:10.1080/00207727708942103

Cited by 62 publications

(14 citation statements)

References 6 publications

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“…At the same time, given this finding and also following the above derivations, one can conclude that the closed-loop error system dynamics x it is readily seen that 1 x , 2 x , 3 x will also converge to zero. Therefore the system states are guaranteed to remain bounded, and thus the practical system stability achieved.…”

Section: Adaptive Robust Nonlinear Controllers Synthesismentioning

confidence: 71%

“…It should be noted, in all respects model representation (1) is an essentially non-linear according to the generically nonlinear controlled plant system [3], [14], [23]. Hence, any linearization technique [5], [9], [17] results in loss of the information on essential dynamic features and the respective control designs are prone to poor or critical performance should the operating conditions in the power system change considerably.…”

Section: Robust Models Of Tcsc Power System Dynamicsmentioning

confidence: 99%

“…Consider the conceptual model [3] of the single machine infinite bus system employing TCSC devices [9], [12]. The schematic diagram of the respective conceptual model is depicted in Figure 2 in two variants, which serves the background for all linear and nonlinear mathematical representation models [14], [21].…”

Section: Robust Models Of Tcsc Power System Dynamicsmentioning

confidence: 99%

“…In order to enhance further the stability potential of power systems, investigations on the advanced control mode of TCSC has become a timely task [2]. What can be achieved, however, it does depend essentially on the choice of conceptual model [3], [8], [20], and the method of design synthesis [5], [11], [12], [14]. Typically, powers systems are represented by rather high-order models, hence the well-known tendency to use linear models in control system design.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Back-Stepping Design of TCSC Robust Nonlinear Control for Power Systems

Dimirovski¹,

Jing²,

Li³

et al. 2006

Intelligent Automation & Soft Computing

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The back-stepping design methodology of the nonlinear control theory is known to provide an efficient constructive tool for designing non-linear controllers for a wide range of systems engineering applications where it is crucial to employ non-linear models of the plants. A novel adaptive and robust non-linear control design for electrical power systems employing thyristor controlled series compensation has been solved by using this methodology. For the case of single machine to infinite bus system with TCSC having internal and external disturbances, storage functions of the system are constructed via adaptive back-stepping design and a novel non-linear L 2 gain disturbance attenuation controller along with the parameter update law were derived. Simulation results have demonstrated that the proposed control design possesses asymptotic stability with superior performances. The construction of feedback control law via associated storage functions is consistently systematic, which makes the proposed technique appealing for further investigation in order to derive appropriate design scheme for higher-order non-linear models of power systems.

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Section: Adaptive Robust Nonlinear Controllers Synthesismentioning

confidence: 71%

Section: Robust Models Of Tcsc Power System Dynamicsmentioning

confidence: 99%

Section: Robust Models Of Tcsc Power System Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Adaptive Back-Stepping Design of TCSC Robust Nonlinear Control for Power Systems

Dimirovski¹,

Jing²,

Li³

et al. 2006

Intelligent Automation & Soft Computing

View full text Add to dashboard Cite

show abstract

“…The basic class of such systems, which is constructed by interconnection of linear time-invariant dynamic (sub)systems, e.g. electrical power systems [13], [19], [20], has been subject of extensive research for more than two decades [3], [5], [8], [10], [14], which is continuing to attract considerable research interests. Recently investigations are focused on taking a-priori into consideration time-delays and uncertainties [4], [10], [11], [16], [17], [18].…”

Section: Introductionmentioning

confidence: 99%

Decentralized Stabilization Control for Composite Systems with Time-Varying Delays and Uncertainties

Jing

Dimirovski

2006 2nd International Conference on Information &Amp; Communication Technologies

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The stabilization problem of composite interconnected linear dynamic systems with delays and uncertainties in the plant interconnections and without is studied. Such a problem appears in the control of interconnected plant systems via networked interconnections. Conditions are derived when timedelays in the interconnections do not to impose difficulties to decentralized stabilization control of the interconnected plant provided the state vector is available. Main results of this contribution are given in terms of the respective theorems showing it is always feasible to stabilize the plant by designing appropriate local memoryless state feedback. An illustration example is given. 0-7803-9521-2/06/$20.00 §2006 IEEE.

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Adaptive Impulsive Observers for a Class of Switched Nonlinear Systems with Unknown Parameter

Dimirovski

2017

Asian Journal of Control

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This work investigates and solves the design of adaptive impulsive observers for a class of uncertain switched nonlinear systems with unknown parameter. Sufficient conditions are derived for designing such observers for each subsystem to reconstruct asymptotically and update system states in real time. The state observer is represented in terms of impulsive differential equations. The parameter estimation law is modelled by an impulse‐free, time‐varying differential equation associated with the impulse time sequence in order to determine when the observer estimated state is updated. The asymptotic convergence to zero of the observation errors is established by applying the method of multiple time‐varying Lyapunov functions. Sufficient conditions are derived that guarantee the convergence of parameter estimation. An example of switched Lorenz system along with numeric and simulation results is presented to demonstrate the effectiveness of the proposed method.

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Categories in systems and control theory

Cited by 62 publications

References 6 publications

Adaptive Back-Stepping Design of TCSC Robust Nonlinear Control for Power Systems

Adaptive Back-Stepping Design of TCSC Robust Nonlinear Control for Power Systems

Decentralized Stabilization Control for Composite Systems with Time-Varying Delays and Uncertainties

Adaptive Impulsive Observers for a Class of Switched Nonlinear Systems with Unknown Parameter

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