Journal ArticleDOI
Static output tracking control for non-linear polynomial time-delay systems via block-pulse functions
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A new method is introduced to design static output tracking controllers for a class of non-linear polynomial time-delay systems based on the projection of the controlled system and the associated linear reference model that it should follow over a basis of block-pulse functions.Abstract:
In this paper, a new method is introduced to design static output tracking controllers for a class of non-linear polynomial time-delay systems. The proposed technique is based on the projection of the controlled system and the associated linear reference model that it should follow over a basis of block-pulse functions. The useful properties of these orthogonal functions such as operational matrices jointly used with the Kronecker tensor product may transform the non-linear delay differential equations into linear algebraic equations depending only on parameters of the feedback regulator. The least-squares method is then used for determination of the unknown parameters. Sufficient conditions for the practical stability of the closed-loop system are derived, and a domain of attraction is estimated. The implementation of the proposed method is illustrated on a double inverted pendulums benchmark as well as a two-degree-of- freedom mass-spring-damper system. The simulation results show the effectiven...read more
Citations
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Journal ArticleDOI
Decentralized Suboptimal State Feedback Integral Tracking Control Design for Coupled Linear Time-Varying Systems
TL;DR: In this paper, a suboptimal state feedback integral decentralized tracking control synthesis for interconnected linear time-variant systems is proposed by using orthogonal polynomials, and closed-loop asymptotic stability LMI conditions are given.
Journal ArticleDOI
Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems
TL;DR: The complex dynamic optimization problem is reduced to a nonlinear programming problem that could be solved with available NLP solvers and a practical nonlinear feedback controller gains are deduced with respect to a least square formalism based on the optimal open loop control results.
Journal ArticleDOI
A decentralized observer-based optimal control for interconnected systems using the block pulse functions:
TL;DR: This paper exploits and rigorously develops the BPFs parametrization technique for the synthesis of a decentralized observer-based optimal control for large-scale interconnected systems and develops a mathematical model of a double-parallel inverted pendulum coupled by a spring, taking into account all possible changes of the connecting position of the elastic spring.
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Combined Constrained Robust Least Squares Approach and Block-Pulse Functions Technique for Tracking Control Synthesis of Uncertain Bilinear Systems with Multiple Time-Delayed States under Bounded Input Control
TL;DR: The present study tackles the tracking control problem for unstructured uncertain bilinear systems with multiple time-delayed states subject to control input constraints with a new method to design memory state feedback controllers with compensator gain based on the use of operational properties of block-pulse functions basis.
Journal ArticleDOI
Suboptimal control synthesis for state and input delayed quadratic systems
TL;DR: In this paper , a suboptimal linear-state feedback controller for multi-delay quadratic system is investigated, and the optimal state and input coefficients resulting from the expansion over a hybrid basis of block pulse and Legendre polynomials are first obtained by formulating a nonlinear programming problem.
References
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Journal ArticleDOI
Kronecker products and matrix calculus in system theory
TL;DR: In this article, a review of the algebras related to Kronecker products is presented, which have several applications in system theory including the analysis of stochastic steady state.
Journal ArticleDOI
Hybrid Fuzzy Adaptive Output Feedback Control Design for Uncertain MIMO Nonlinear Systems With Time-Varying Delays and Input Saturation
TL;DR: In this paper, a hybrid fuzzy adaptive output feedback control design approach is proposed for a class of multiinput and multioutput strict-feedback nonlinear systems with unknown time-varying delays, unmeasured states, and input saturation.
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Neural Network-Based Passive Filtering for Delayed Neutral-Type Semi-Markovian Jump Systems
TL;DR: This paper investigates the problem of exponential passive filtering for a class of stochastic neutral-type neural networks with both semi-Markovian jump parameters and mixed time delays by designing a Luenberger-type observer, and develops a convex optimization algorithm for the filter design.
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Brief paper: Observer-based control of a class of time-delay nonlinear systems having triangular structure
TL;DR: It is shown that a delay nonlinear observer is globally convergent under the global Lipschitz condition of the system nonlinearity and that a parameterized linear feedback that uses the observer states can stabilize the system whatever the size of the delay.
Journal ArticleDOI
Optimal control of delay systems via block pulse functions
C. Hwang,Y. P. Shih +1 more
TL;DR: The concept of coefficient shift matrix is introduced to represent delay variables in block pulse series and the optimal control of a linear delay system with quadratic performance index is studied via block pulse functions.