Sliding mode observers have unique properties, in that the ability to generate a sliding motion on error between measured plant output and of observer ensures produces set state estimates are precisely commensurate with actual plant. It is also case analysis average value applied injection signal, so-called equivalent contains useful information about mismatch model used define These coupled fact discontinuous signals which were perceived as problematic for many control applications no...

Abstract A framework is proposed for the development and analysis of robust observers uncertain dynamical systems. variable structure systems approach used. Emphasis placed upon numerical tractability associated synthesis procedure. selected example used to illustrate algorithm.

Abstract This paper considers the problem of designing an observer for a linear system subject to unknown inputs. has been extensively studied in literature with respect both and nonlinear (sliding mode) observers. Necessary sufficient conditions enable input be designed have established many years. One way express these is that transfer function matrix between measured output must minimum phase relative degree one. Identical met order design ‘classical’ sliding mode same problem. shows how...

Abstract A practical procedure is presented for synthesizing output feedback controllers uncertain systems based on sliding mode concepts. The class of to which the results apply identified and includes requirement that nominal linear system minimum phase. proposed design surface uses established eigenvalue assignment results. It will be shown all assumptions imposed pertain surface. controller, guarantees attainment a despite presence uncertainty requires no additional assumptions.

This paper investigates observer-based stabilization for nonlinear descriptor systems using a fuzzy integral sliding mode control approach. Observer-based strategies the Takagi-Sugeno (T-S) are developed. A two-step design approach is first developed to obtain observer gains and coefficients in switching function linear matrix inequalities (LMIs), results used facilitate development of single-step approach, which seen be convenient but introduces some conservatism design. The potential...

This study investigates integral sliding mode control problems for Markovian jump T–S fuzzy descriptor systems via the super‐twisting algorithm. A new surface which is continuous constructed and an scheme based on a variable gain algorithm presented to guarantee well‐posedness of state trajectories between two consecutive switchings. The stability motion analysed by considering redundancy properties membership functions. It shown that proposed extension classical single‐input case...

The design of variable structure control schemes for uncertain discrete-time systems is considered. Previous work in this area which parallels the sliding mode philosophy with that continuous-time case reviewed. Theoretical results are presented indicate such a parallel approach not necessarily desirable. A novel methodology then formulated. numerical example given to illustrate described.

It is well known that for linear, uncertain systems, a static output feedback sliding mode controller can only be determined if particular triple associated with the reduced order dynamics in stabilizable. This paper shows control design problem solved broader class of systems delay term deliberately introduced into switching function. Effectively are stabilized by introduction this artificial delay.

In this technical note, a local stabilization problem for nonlinear systems with disturbances which are dependent on time-varying delay phenomena, is studied. An appropriate transformation introduced to express the system in regular form facilitates both design and analysis. Then, sufficient conditions developed based Lyapunov-Razumikhin approach such that sliding motion uniformly asymptotically or exponentially stable. A static output feedback control law, independent of time delay,...

In this technical note, a class of time varying delay nonlinear systems is considered where both parametric uncertainty and structural are involved. The uncertain parameters embedded in the system nonlinearly. bound on takes form delayed. A sliding mode observer proposed to estimate state an adaptive law unknown simultaneously. Using Lyapunov–Razuminkhin approach, sufficient conditions developed such that error uniformly ultimately bounded. simulation bioreactor shows effectiveness approach.

This paper addresses the robust stabilization problem for T-S fuzzy stochastic descriptor systems using an integral sliding mode control paradigm. A classical scheme and a nonparallel distributed compensation (Non-PDC) are presented. It is shown that two restrictive assumptions previously adopted developing controllers Takagi-Sugeno (T-S) not required with proposed framework. unified framework of formulated. The Non-PDC encompasses existing schemes when imposed hold. Stability motion...

Summary The introduction of electric braking via brake‐by‐wire systems in vehicles) has reduced the high transportation delays usually involved conventional friction systems. This facilitated design more efficient and advanced control schemes for antilock (ABSs). However, accurate estimation tire‐road coefficient, which cannot be measured directly, is required. paper presents a review existing methods, focusing on sliding‐mode techniques, followed by development novel technique, used to an...

Considers a sliding-mode controller which requires only output information and is static in nature. The novelty of the approach rationale method used to synthesize linear control component involves matrix inequality optimization. so-called reachability condition analysis not required be satisfied globally. Instead, sliding expected take place within subset state-space referred as patch.

A controller/observer pair is presented, on the basis of sliding mode ideas, which provides robust output tracking a reference signal using only measured information. Closed-loop analysis indicates that asymptotic constant will be achieved despite presence class matched uncertainty. Furthermore, form 'separation principle' shown to hold for this controller and observer, in sense they can designed independently apart from scalar function uncertainty bounds.

It is well known that sliding mode control schemes provide robustness to the class of uncertainty acting within channels implicit in inputs: so-called matched uncertainty. However, unmatched will affect ideal dynamics prescribed by chosen switching surfaces. This paper develops a strategy minimize effects upon dynamic performance achieved for subclass considered previous authors. The practical application design stability augmentation system light aircraft presented. For this problem an and...