scholarly journals Robust Inverse Optimal Control for a Boost Converter

Energies ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2507
Author(s):  
Mario Villegas-Ruvalcaba ◽  
Kelly Joel Gurubel-Tun ◽  
Alberto Coronado-Mendoza
Keyword(s):  
Optimal Control ◽  
Robust Control ◽  
Input Voltage ◽  
Boost Converter ◽  
Voltage Reference ◽  
Inverse Optimal Control ◽  
State Equations ◽  
Control Lyapunov Function ◽  
Operation Conditions ◽  
The Stability

The variability of renewable energies and their integration into the grid via power electronics demands the design of robust control algorithms. This work incorporates two techniques to ensure the stability of a boost converter through its state equations, implementing the inverse optimal control and the gain-scheduling technique for robust control settings. In such a way that, under a single adjustment, it is capable of damping different changes such as changes in the parameters, changes in the load, the input voltage, and the reference voltage. On the other hand, inverse optimal control is based on a discrete-time control Lyapunov function (CLF), and CLF candidate depends on fixed parameters that are selected to obtain the solution for inverse optimal control. Once these parameters have been found through heuristic or artificial intelligence methods, the new proposed methodology is capable of obtaining a robust optimal control scheme, without having to search for new parameters through other methods, since these are sometimes sensitive changes and many times the process of a new search is delayed. The results of the approach are simulated using Matlab, obtaining good performance of the proposed control under different operation conditions. Such simulations yielded errors of less than 1% based on the voltage reference, given the disturbances caused by changes in the input variables, system parameters, and changes in the reference. Thus, applying the new methodology, the stability of our system was preserved in all cases.

Continuous-Time PDC-LMI Fuzzy Applied to 3SSC Boost Converter

2020 ◽  
Author(s):  
Jozias R. L. Neto ◽  
Luis Carvalho ◽  
Jefferson C. Rezende ◽  
Marcus V. S. Costa ◽  
Elenilson De Vargas Fortes
Keyword(s):  
Continuous Time ◽  
Output Voltage ◽  
Input Voltage ◽  
Boost Converter ◽  
Linear Matrix ◽  
External Disturbances ◽  
State Switching ◽  
Integral Action ◽  
Design Characteristics ◽  
The Stability

The application of DC-DC converters is widely approached in several studies to ensure its performance and robustness. This paper proposes the voltage control of a three-state switching cell (3SSC) boost converter in the continuous time. On this occasion, the output voltage is controlled by a Tagaki-Sugeno-Kang (TSK) Fuzzy with integral action, which thegains are obtained using Parallel Distributed Compensation via Linear Matrix Inequalities (PDC-LMI) combined through linear membership functions and activated by the duty cycle and inductor current. This approach aims to reject problems originated by load and input voltage variations and improve the stability response of the converter output voltage. The obtained results of this paper evidences the effectiveness of the proposed controller in the continuoustime, reducing the effects of external disturbances and maintaining the stability of the output voltage conforming to the control design characteristics.

scholarly journals Global Optimal Stabilization of MT-HVDC Systems: Inverse Optimal Control Approach

Electronics ◽  
2021 ◽  
Vol 10 (22) ◽  
pp. 2819
Author(s):  
Oscar Danilo Montoya ◽  
Walter Gil-González ◽  
Federico Martin Serra ◽  
Cristian Hernan De Angelo ◽  
Jesus C. Hernández
Keyword(s):  
Optimal Control ◽  
Control Method ◽  
Short Circuit ◽  
Hierarchical Control ◽  
Primary Control ◽  
Inverse Optimal Control ◽  
Control Lyapunov Function ◽  
Control Approach ◽  
Hvdc System ◽  
Control Stage

The stabilization problem of multi-terminal high-voltage direct current (MT-HVDC) systems feeding constant power loads is addressed in this paper using an inverse optimal control (IOC). A hierarchical control structure using a convex optimization model in the secondary control stage and the IOC in the primary control stage is proposed to determine the set of references that allows the stabilization of the network under load variations. The main advantage of the IOC is that this control method ensures the closed-loop stability of the whole MT-HVDC system using a control Lyapunov function to determine the optimal control law. Numerical results in a reduced version of the CIGRE MT-HVDC system show the effectiveness of the IOC to stabilize the system under large disturbance scenarios, such as short-circuit events and topology changes. All the simulations are carried out in the MATLAB/Simulink environment.

scholarly journals Research on Linear Active Disturbance Rejection Control in DC/DC Boost Converter

Electronics ◽  
2019 ◽  
Vol 8 (11) ◽  
pp. 1249 ◽  
Author(s):  
Hui Li ◽  
Xinxiu Liu ◽  
Junwei Lu
Keyword(s):  
Disturbance Rejection ◽  
Control Method ◽  
Input Voltage ◽  
Boost Converter ◽  
Cascade Control ◽  
Active Disturbance Rejection Control ◽  
Minimum Phase ◽  
Active Disturbance Rejection ◽  
Disturbance Rejection Control ◽  
The Stability

This paper proposes a cascade control strategy based on linear active disturbance rejection control (LADRC) for a boost DC/DC converter. It solves the problem that the output voltage of boost converter is unstable due to non-minimum phase characteristics, input voltage and load variation. Firstly, the average state space model of boost converter is established. Secondly, a new output variable is selected, and a cascade control is adopted to solve the problems of narrow bandwidth and poor dynamic performance caused by non-minimum phase. LADRC is used to estimate and compensate the fluctuations of input voltage and loads in time. Linear state error feedback (LSEF) is used to achieve smaller errors than traditional control method, which ensures the stability and robustness of the system under internal uncertainty and external disturbance. Subsequently, the stability of the system is determined by frequency domain analysis. Finally, the feasibility and superiority of the proposed strategy is verified by simulation and hardware experiment.

Nonlinear Analysis of Hysteretic Modulation-Based Sliding Mode Controlled Quadratic Buck–Boost Converter

2018 ◽  
Vol 28 (02) ◽  
pp. 1950025 ◽  
Author(s):  
Muppala Kumar Kavitha ◽  
Anbukumar Kavitha
Keyword(s):  
Hopf Bifurcation ◽  
Phase Portrait ◽  
Sliding Mode ◽  
Stability Boundary ◽  
Low Frequency ◽  
Nonlinear Behavior ◽  
Input Voltage ◽  
Boost Converter ◽  
Complex Conjugate ◽  
The Stability

In this paper, the dynamics of hysteresis current-controlled quadratic buck-boost converter is investigated in detail. The system model is derived based on the sliding mode approach and also in its dimensionless form for algebraic brevity. The stability of the system is disclosed with the aid of the movement of eigenvalues. Onset of Hopf bifurcation is identified when the complex conjugate eigenvalue pair crosses the imaginary axis of the complex plane. The stability boundary is drawn to benefit the power electronics engineer for a stable and reliable design. The computer simulation of the switched model is performed using MATLAB/Simulink software to uncover the sequential occurrence of nonlinear behavior exhibited due to Hopf bifurcation for variation in control parameters and the input voltage. The phase portrait disclosing the subtle periodicity is plotted at different operating points to elicit that the stable period-1 attractor bifurcates to the quasi-periodic orbit and finally to a limit cycle. The precise dynamic of the phase portrait is also captured using the Poincare section. Experimental outputs are presented for confirming the low-frequency bifurcation scenario witnessed in the simulated and analytical results.

scholarly journals Global Stabilization of a Reaction Wheel Pendulum: A Discrete-Inverse Optimal Formulation Approach via A Control Lyapunov Function

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1771
Author(s):  
Oscar Danilo Montoya ◽  
Walter Gil-González ◽  
Juan A. Dominguez-Jimenez ◽  
Alexander Molina-Cabrera ◽  
Diego A. Giral-Ramírez
Keyword(s):  
Optimal Control ◽  
Lyapunov Function ◽  
Time Domain ◽  
Discrete Control ◽  
Global Stabilization ◽  
Inverse Optimal Control ◽  
Reaction Wheel ◽  
Control Lyapunov Function ◽  
Control Approach ◽  
Optimal Control Approach

This paper deals with the global stabilization of the reaction wheel pendulum (RWP) in the discrete-time domain. The discrete-inverse optimal control approach via a control Lyapunov function (CLF) is employed to make the stabilization task. The main advantages of using this control methodology can be summarized as follows: (i) it guarantees exponential stability in closed-loop operation, and (ii) the inverse control law is optimal since it minimizes the cost functional of the system. Numerical simulations demonstrate that the RWP is stabilized with the discrete-inverse optimal control approach via a CLF with different settling times as a function of the control gains. Furthermore, parametric uncertainties and comparisons with nonlinear controllers such as passivity-based and Lyapunov-based approaches developed in the continuous-time domain have demonstrated the superiority of the proposed discrete control approach. All of these simulations have been implemented in the MATLAB software.

Inverse optimal control of a class of affine nonlinear systems

2019 ◽  
Vol 41 (9) ◽  
pp. 2637-2650 ◽  
Author(s):  
Parvathy Prasanna ◽  
Jeevamma Jacob ◽  
Mattida Ponnadiyil Nandakumar
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Permanent Magnet Synchronous Motor ◽  
The State ◽  
Sufficient Condition ◽  
Inverse Optimal Control ◽  
State Matrix ◽  
Control Lyapunov Function ◽  
Gain Matrix ◽  
Matrix Formula

This paper proposes a systematic formulation of inverse optimal control (IOC) law based on a rather straightforward reduction of control Lyapunov function (CLF), applicable to a class of second-order nonlinear systems affine in the input. This method exploits the additional design degrees of freedom resulting from the non-uniqueness of the state dependent coefficient (SDC) formulation, which is widely used in pseudo-linear control techniques. The applicability of the proposed approach necessitates an apparently effortless SDC formulation satisfying an SDC matrix criterion in terms of the structure and characteristics of the state matrix, [Formula: see text]. Subsequently, a sufficient condition for the global asymptotic stability (g.a.s) of the closed-loop system is established. The SDC formulations conforming to the sufficient condition ensure the existence and determination of a smooth radially unbounded polynomial CLF of the form [Formula: see text], while offering a benevolent choice for the gain matrix [Formula: see text], in the CLF. The direct relationship between the gain matrix [Formula: see text] and state weighing matrix [Formula: see text] ensures optimization of an equivalent [Formula: see text]. This feature enables one to rightfully choose the gain matrix [Formula: see text] as per the performance requisites of the system. Finally, the application of the proposed methodology for the speed control of a permanent magnet synchronous motor validates the efficacy and design flexibility of the methodology.

scholarly journals A Brief Overview of Optimal Robust Control Strategies for a Benchmark Power System with Different Cyberphysical Attacks

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Bo Hu ◽  
Hao Wang ◽  
Yan Zhao ◽  
Hang Zhou ◽  
Mingkun Jiang ◽  
...  
Keyword(s):  
Optimal Control ◽  
Robust Control ◽  
Power System ◽  
Control Strategies ◽  
Approximation Error ◽  
Lyapunov Theory ◽  
Cyberphysical Systems ◽  
Security Issue ◽  
Different Types ◽  
The Stability

Security issue against different attacks is the core topic of cyberphysical systems (CPSs). In this paper, optimal control theory, reinforcement learning (RL), and neural networks (NNs) are integrated to provide a brief overview of optimal robust control strategies for a benchmark power system. First, the benchmark power system models with actuator and sensor attacks are considered. Second, we investigate the optimal control issue for the nominal system and review the state-of-the-art RL methods along with the NN implementation. Third, we propose several robust control strategies for different types of cyberphysical attacks via the optimal control design, and stability proofs are derived through Lyapunov theory. Furthermore, the stability analysis with the NN approximation error, which is rarely discussed in the previous works, is studied in this paper. Finally, two different simulation examples demonstrate the effectiveness of our proposed methods.

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