Strategie sterowania ślizgowego z ruchomą hiperpowierzchnią przełączeń - krótki przegląd

pol Article in Polish DOI: 10.14313/PAR_235/41

send Paweł Latosiński Politechnika Łódzka, Wydział Elektrotechniki, Elektroniki, Informatyki i Automatyki, Instytut Automatyki

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Streszczenie

Strategie sterowania ślizgowego są cenione za swoją całkowitą niewrażliwość na klasę zakłóceń i niepewności modelu. Uzyskanie tej właściwości jest możliwe przez sprowadzenie punktu opisującego dynamikę układu na pewną hiperpowierzchnię przełączeń zdefiniowaną w przestrzeni stanów. W początkowym etapie sterowania, w którym punkt opisujący zbliża się do tej hiperpowierzchni, układ pozostaje wrażliwy na zakłócenia, co utrudnia projektowanie skutecznych strategii sterowania ślizgowego. Aby zapewnić odporność układu na zakłócenia i niepewności modelu na wszystkich etapach procesu sterowania liczni autorzy zaproponowali zastosowanie ruchomych hiperpowierzchni przełączeń. Celem niniejszego artykułu przeglądowego jest przedstawienie najważniejszych osiągnięć z zakresu sterowania ślizgowego z wykorzystaniem takich hiperpowierzchni. Omówione są pionierskie prace proponujące zastosowanie ruchomych hiperpowierzchni przełączeń oraz przedstawione są metody ich projektowania. Następnie podkreślone są najważniejsze osiągnięcia z zakresu sterowania ślizgowego wykorzystującego ruchome hiperpowierzchnie przełączań zarówno dla układów ciągłych jak i dyskretnych.

Słowa kluczowe

ruchome hiperpowierzchnie przełączeń, sterowanie ślizgowe, teoria sterowania

Sliding Mode Control Strategies with a Time-Varying Switching Hypersurface - a Brief Survey

Abstract

Sliding mode control strategies are valued for their total insensitivity to the class of disturbances and uncertainty of the model. Obtaining this property is possible by bringing a point describing the dynamics of the system to a certain switching hypersurface defined in the state space. At the initial stage of control, where the description point approaches this hypersurface, the system remains sensitive to interferences, which hinders the design of effective sliding mode control strategies. To ensure the system’s resistance to interference and model uncertainty at all stages of the control process, many authors proposed the use of mobile switching hypersurfaces. The purpose of this review article is to present the most important achievements in the area of sliding mode control using such hypersurfaces. Discussed are pioneering works proposing the use of mobile switching hypersurfaces and methods of their design are presented. Next, the most important achievements in the area of sliding mode control using movable switching hypersurfaces for both continuous and discrete systems are highlighted.

Keywords

control theory, sliding mode control, time-varying sliding hypersurface

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