TS fuzzy robust L 1 control for nonlinear systems with persistent bounded disturbances

This paper proposes a non-iterative state feedback design approach for polynomial systems using polynomial Lyapunov function based on the sum of squares (SOS) decomposition. The polynomial Lyapunov matrix consists of states of the system leading to the non-convex problem. A lower bound on the time derivative of the Lyapunov matrix is considered to turn the non-convex problem into a convex one; and hence, the solutions are computed through semi-definite programming methods in a non-iterative fashion. Furthermore, we show that the proposed approach can be applied to a wide range of practical and industrial systems that their controller design is challenging, such as different chaotic systems, chemical continuous stirred tank reactor, and power permanent magnet synchronous machine. Finally, software-in-the-loop (SiL) real-time simulations are presented to prove the practical application of the proposed approach.

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“…us, various efforts have been paid for synchronization of delayed complex networks with disturbances [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

“…erefore, the instantaneous change can be regarded as the form of impulse, which is called impulse phenomenon. In the past decades, impulse effect in dynamical systems has received considerable attention [26][27][28][29][30][31][32][33][34][35] owing to its widespread existences in nature and society. From the perspective of impulse effect, impulse can be divided into two categories: impulsive control and impulsive disturbance, where impulse control as a discontinuous control input is to achieve desired performance of the networks, whereas impulse disturbance is a robust analysis which means that the networks can maintain its performance under impulse disturbances.…”

Section: Introductionmentioning

confidence: 99%

Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances

Chen

2020

Complexity

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This paper studies the problem of leader-following synchronization for complex networks subject to delayed impulsive disturbances, where two kinds of time delays considered exist in internal complex networks and impulsive disturbances. Some delay-dependent sufficient criteria are derived in terms of linear matrix inequalities (LMIs) by using the delayed impulsive differential inequality method. Moreover, a feedback controller is designed to realize desired synchronization via the established LMIs. Our proposed results show that the requirements of impulse intervals and impulse sizes are dropped, and delayed impulses and large scale impulses are allowed to coexist. Finally, some examples are given to show the effectiveness of the obtained results.

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TS fuzzy robust L 1 control for nonlinear systems with persistent bounded disturbances

Cited by 34 publications

References 33 publications

Stabilisation and transient performance improvement of DC MGs with CPLs: non‐linear reset control approach

Stabilisation and transient performance improvement of DC MGs with CPLs: non‐linear reset control approach

Polynomial control design for polynomial systems: A non-iterative sum of squares approach

Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances

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