Decentralized Proportional-Integral Sliding Mode Tracking Control for a Class of Nonlinear Interconnected Uncertain System

2012 ◽  
Author(s):  
Mohamad Noh Ahmad ◽  
Johari H. S. Osman ◽  
Mohd. Ruddin A. Ghani
Keyword(s):  
Large Scale ◽  
Sliding Mode ◽  
Mathematical Proof ◽  
Uncertain System ◽  
Sliding Mode Controller ◽  
Matching Conditions ◽  
Integral Sliding Mode ◽  
Proportional Integral ◽  
System A ◽  
The Stability

Kertas kerja ini membincangkan pengawal ragam gelangsar ternyahpusat untuk sistem dalam kategori takpasti, tak lelurus tersaling hubung. Andaian yang dipakai dalam kertas kerja ini ialah loji yang hendak dikawal dianggap sebagai suatu sistem yang diwakili oleh subsistem–subsistem yang tersaling hubung di antara satu sama lain dan dinamik setempat untuk setiap subsistem pula diwakili oleh nilai nominalnya di samping ketakpastian berparameter terbatas. Di samping itu, dinamik untuk saling hubungan di antara subsistem juga diandaikan sebagai diwakili dengan cara yang serupa dan syarat padanan (matching conditions) benar untuk semua subsistem. Suatu pengawal ragam gelangsar ternyahpusat yang robust telah berjaya dihasilkan supaya untuk setiap subsistem, trajektori sebenar sistem akan menjejak trajektori yang dikehendaki menggunakan hanya mklumat dari pemboleh ubah keadaan setempat. Ragam gelangsar berkadaran–kamiran (Pi) sengaja dipilih untuk memastikan kestabilan dinamik keseluruhan sistem terjamin (meliputi fasa menjangkau dan fasa menggelangsar). Pembuktian secara matematik pengawal yang dicadangkan turut diketengahkan dalam kertas kerja ini dan keputusannya pula diperiksa benar tidaknya melalui satu kajian kes. Kata kunci: Sistem skala besar; Kawalan ragam gelangsar ternyahpusat; Pengawal menjejak; Ketakpastian terpadan A decentralized sliding mode controller for a class of nonlinear interconnected uncertain systems is presented in this paper. It is assumed that the plant to be controlled is represented by interconnected sub–systems and the local dynamics of each sub–system is represented by its nominal and bounded parametric uncertainties. It is also assumed that the interconnection dynamics is also represented in the same manner and it is further assumed that the matching conditions hold for every sub–system. A robust decentralized sliding mode controller is derived such that for each sub–system, the actual trajectory tracks the desired trajectory using only the local states information. The Proportional–Integral sliding mode is chosen to ensure the stability of the overall dynamics during the entire period i.e. the reaching phase and the sliding phase. Mathematical proof of the proposed controller is presented and the results are verified using a case study. Key words: Large scale system; Decentralized sliding mode control; Tracking controller; Matched uncertainties

Robust Decentralized Stabilization of Large-Scale Delay Systems Via Sliding Mode Control

1997 ◽  
Vol 119 (2) ◽  
pp. 307-312 ◽  
Author(s):  
Jun-Juh Yan ◽  
Jason Sheng-Hong Tsai ◽  
Fan-Chu Kung
Keyword(s):  
Sliding Mode Control ◽  
Large Scale ◽  
Sliding Mode ◽  
Delay Systems ◽  
Sliding Mode Controller ◽  
Stabilization Problem ◽  
Large Scale Systems ◽  
Decentralized Stabilization ◽  
Mode Control ◽  
The Stability

The present paper is concerned with the decentralized stabilization problem of large-scale systems with delays in the intercon-nections using sliding mode control. A robust stability condition of the sliding mode and a robust decentralized sliding mode controller are newly derived for large-scale delay systems. Also a proportional-integral sliding mode is designed to make it easy to assure the stability of dynamics in the sliding mode.

Robust integral sliding mode control strategy under designed switching rules for uncertain switched linear systems via multiple Lyapunov functions

2019 ◽  
Vol 41 (12) ◽  
pp. 3536-3549 ◽  
Author(s):  
Xiaoyu Zhang
Keyword(s):  
Sliding Mode Control ◽  
Lyapunov Functions ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Multiple Lyapunov Functions ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
The Stability ◽  
Stable Matrix

This paper puts forward a switching rule stabilization design of the robust integral sliding mode control for uncertain switched systems. A kind of common robust integral sliding mode (CRISM) is firstly designed and the system matrices of subsystems under the sliding mode comprise a robust stable matrix set. The stability of the switched system (SS) under the sliding mode is then analyzed by multiple Lyapunov functions (MLF) method. Based on the presented design of CRISM, a sliding mode controller is devised so that the sliding mode can be reached. Finally, the correctness of the proposed method is verified through results of numerical and application simulations.

scholarly journals A Modified Double-Integral-Sliding-Mode-Controller for a Microgrid System With Uncertainty

2020 ◽  
Author(s):  
Swati Sucharita Pradhan ◽  
Raseswari Pradhan
Keyword(s):  
Large Scale ◽  
Sliding Mode ◽  
State Observer ◽  
Sliding Mode Controller ◽  
Double Integral ◽  
Parameter Uncertainties ◽  
Integral Sliding Mode ◽  
Output Waveform ◽  
Highly Nonlinear ◽  
Unknown Control

Recently infiltration of large scale of microgrid systems into the power grid is recorded. Among these systems, photovoltaic (PV) based microgrid systems are more in demand due to its renewable, pollution free properties and abundantly available fuel. Grid integration of this microgrid system again enhanced its energy efficiency. But, dynamics of this PV based microgrid system is highly nonlinear and uncertain in nature. It suffers from parametric uncertainties. This kind of system can’t be controlled properly by conventional linear controllers. Sliding mode controller (SMC) is capable of controlling this kind of system with ease. However, SMC suffers from its inherent chattering introduction in the system output waveform. To reduce the chattering from the output waveform, there is requirement of some modification in the existing SMC structure dynamics. This paper presents an extended state observer based double integral sliding mode controller (DISMC) for this studied system. By using DISMC, the chattering magnitude is diminished greatly. Parameter uncertainties of the system lead to some unknown control states. These unknown states are identified by the state observer. Therefore, the proposed controller is more efficient in reference tracking, disturbance rejection and robust stability. To test the efficacies of the proposed controller, results of the studied system with this controller are compared with that of H∞ controller.

An Improvement of PISS Integral Sliding Mode Control of Supersonic Missiles

2012 ◽  
Vol 155-156 ◽  
pp. 1223-1226
Author(s):  
Guo Qiang Liang ◽  
Jun Wei Lei ◽  
Xian Jun Shi
Keyword(s):  
Sliding Mode ◽  
Simplified Model ◽  
Sliding Mode Controller ◽  
Integral Type ◽  
Sign Function ◽  
Integral Sliding Mode ◽  
System A ◽  
Missile System ◽  
Mode A ◽  
Control Integration

Considering the pitch channel simplified model of supersonic missile system, a integral type of sliding surface is constructed with the error of overload and the integration of error and the angle speed signal. Base on the linear sliding mode, a simple PS adaptive integral sliding mode controller is designed In order to improve the performance of the proposed method, two improvements also proposed. Finally, a hybrid PISS adaptive control is formed which contains proportion control, integration control, the sign function and soft function.

scholarly journals Adaptive Integral-Based Robust Q-S Synchronization and Parameter Identification of Nonlinear Hyperchaotic Complex Systems

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Sami Ud Din ◽  
Muhammad Rafiq Mufti ◽  
Humaira Afzal ◽  
Majid Ali ◽  
Muhammad Abdul Moiz Zia
Keyword(s):  
Parameter Identification ◽  
Sliding Mode ◽  
Adaptive Controller ◽  
Sliding Mode Controller ◽  
Unknown Parameters ◽  
Integral Sliding Mode ◽  
Error System ◽  
The Stability ◽  
Synchronization Scheme ◽  
Hyperchaotic Systems

This communique presents the Q-S synchronization of two nonidentical complex nonlinear hyperchaotic systems with unknown parameters. An adaptive controller based on adaptive integral sliding mode control and parameter update laws are designed to realize the synchronization and parameter identification to a given map vector. The aforementioned strategy’s employment demands the transformation of a system into a specific structure containing a nominal part and some unknown terms (later on, these unknown terms will be computed adaptively). An integral sliding mode controller is used to stabilize the error system by designing nominal control accompanied by compensator control. For chattering suppression, a continuous compensator of smooth nature is used instead of conventional control. The stability of the proposed algorithm is established in an impressive way, using Lyapunov criteria. A numerical simulation is performed to illustrate the validity of the proposed synchronization scheme.

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