H2−H∞ control of discrete-time nonlinear systems using the state-dependent Riccati equation approach [PDF]
Systems Science & Control Engineering, 2017 A novel H2−H∞ State-dependent Riccati equation control approach is presented for providing a generalized control framework to discrete-time nonlinear system.
Xin Wang +3 more
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MATLAB SOLUTIONS FOR DISCRETE-TIME RICCATI EQUATIONS OF STOCHASTIC FRACTIONAL LINEAR QUADRATIC OPTIMAL CONTROL AND APPLICATIONS [PDF]
Analele Universităţii "Constantin Brâncuşi" din Târgu Jiu: Seria Inginerie, 2018 In this paper we study solution properties for a class of discrete-time Riccati equations of stochastic control associated to discrete-time fractional order systems with control and multiplicative white noise.
Viorica Mariela Ungureanu
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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution
IEEE Access, 2021 A modified discrete-time algebraic Riccati equation (MARE) is a discrete-time algebraic Riccati equation (DARE) for which the quadratic term is weighted by a modifying parameter $\alpha $ .
Alejandro J. Rojas
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Stochastic Linear Quadratic Control Problem on Time Scales
Discrete Dynamics in Nature and Society, 2021 This paper addresses a version of the stochastic linear quadratic control problem on time scales SΔLQ, which includes the discrete time and continuous time as special cases.
Yingjun Zhu, Guangyan Jia
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Autonomous Collision Avoidance Using MPC with LQR-Based Weight Transformation
Sensors, 2021 Model predictive control (MPC) is a multi-objective control technique that can handle system constraints. However, the performance of an MPC controller highly relies on a proper prioritization weight for each objective, which highlights the need for a ...
Shayan Taherian +3 more
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Using Generalized Fibonacci Sequences for Solving the One-Dimensional LQR Problem and its Discrete-Time Riccati Equation [PDF]
Modeling, Identification and Control, 2010 In this article we develop a method of solving general one-dimensional Linear Quadratic Regulator (LQR) problems in optimal control theory, using a generalized form of Fibonacci numbers.
Per-Ole Nyman +2 more
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Kalman Filter-Smoothed Random Walk Based Centralized Controller for Multi-Input Multi-Output Processes [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a novel centralized controller is presented to control multi-input multi-output industrial processes with heavy interactions and significant time-delays.
Saeed Tavakoli +3 more
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Discrete-Time Indefinite Stochastic LQ Control via SDP and LMI Methods
Journal of Applied Mathematics, 2012 This paper studies a discrete-time stochastic LQ problem over an infinite time horizon with state-and control-dependent noises, whereas the weighting matrices in the cost function are allowed to be indefinite.
Shaowei Zhou, Weihai Zhang
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A Novel Iterative Learning Control Approach Based on Steady-State Kalman Filtering
IEEE Access, 2019 This paper presents a novel off-line iterative learning control algorithm for multiple-input-multiple-output time-varying discrete stochastic systems.
Tianbo Zhang +3 more
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H∞ Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps
IEEE Access, 2020 This paper is concerned with a kind of discrete-time stochastic systems with Markov jump parameters taking values in a Borel measurable set. First, both strong exponential stability and exponential stability in the mean square sense are introduced for ...
Hongji Ma, Yuechen Cui, Yongli Wang
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