This text covers a large spectrum of recent research and innovative ideas in the field of robust control research employing the variable structure control method and Lyapunov's second method. The book surveys control Lyapunov functions; presents new structures of sliding mode controllers with discussion on higher order sliding modes; presents new techniques for the design of direct and indirect adaptive controllers; provides an introduction to the geometric theory of "flat" systems; discusses controllers for plants with component-wise bounded inputs; discusses robust design via linear matrix inequalities and polytopic covering; and presents some issues on the dissipativity and absolute stability of non-linear systems.
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