IEEE Transactions on Automatic Control, Vol.55, No.10, 2368-2373, 2010
Reduced-Order Observer in the Sliding-Mode Control of Nonlinear Nonaffine Systems
The note considers the variable-structure control of nonlinear known nonaffine systems when the state vector is not completely available and the use of observers is required. The strategy of introducing integrators in the input channel is exploited to enlarge the class of tractable control systems. A new reduced-order observer is proposed and conditions are found under which it is proven the convergence to the unique ideal solution of both system and observer. The control problem is solved by forcing a sliding regime for the observer, while satisfying an exponential stability criterion for the observation error state equation.
Keywords:Nonlinear nonaffine systems;nonlinear observers;reduced order observers;sliding mode control