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This study proposes a feedback linearisation based on the back-stepping method with simple implementation and unique design process to design a non-linear controller with a goal of improving both steady-state and transient stability. The proposed method is designed based on a standard third-order model of synchronous generator. A comparison based on simulation is then performed between the proposed method and two conventional control schemes (i.e. conventional power system stabiliser and direct feedback linearisation). The simulation results demonstrate that fast response, robustness, damping, steady-state and transient stability as well as voltage regulation are all achieved satisfactorily. Index terms: Power system stabilizer; excitation controller; direct feedback linearization technique; nonlinear control; backstepping technique; dynamic stability; transient stability. Now to stabilize the system expressed with the above equations, the state feedback v Kz is used in which 123 ,, K kkk where 123 ,, kkk are the state feedback gains. Further information is available in [15].

The problem of stationary robust L -induced deconvolution filtering for the uncertain continuous-time linear stochastic systems is addressed. The state space model of the system contains state-and input-dependent noise and deterministic parameter uncertainties residing in a given polytope. In the presence of input-dependent noise, we extend the derived lemma in Berman and Shaked (2010) characterizing the induced L norm by linear matrix inequalities (LMIs), according to which we solve the deconvolution problem in the quadratic framework. By decoupling product terms between the Lyapunov matrix and system matrices, an improved version of the proposed L -induced norm bound lemma for continuous-time stochastic systems is obtained, which allows us to realize exploit parameter-dependent stability idea in the deconvolution filter design. The theories presented are utilized for sensor fault reconstruction in uncertain linear stochastic systems. The effectiveness and advantages of the proposed design methods are shown via two numerical examples.

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