State Space Theory of Discrete Linear Control

Strejc, V.; Doležal, Jaroslav

doi:10.1109/tsmc.1982.4308892

Cited by 35 publications

(10 citation statements)

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“…Optimization theory is used to solve optimal control problems of dynamic systems, as shown in [10]. It was also shown in [11] that optimal control theory and convex optimization are dual problems. Hence, finally the objective function becomes the following.…”

Section: Synthesis Of Two-component Controllermentioning

confidence: 99%

Robust optimal stabilization of balance systems with parametric variations

Zaffar¹,

Memon²

2017

Turk J Elec Eng & Comp Sci

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This paper proposes a method of robust optimal stabilization for balance systems such as rocket and missile systems, Segway human transportation systems, and inverted pendulum systems. Constant-gain controllers such as linear-quadratic regulators may not guarantee stability let alone optimality for balance systems affected by parametric variations. The robust stability and robust performance achieved through the proposed variable-gain controller are better than those of the linear-quadratic regulator. The proposed controller consists of two components, one of which is designed offline for nominal values of parametric variations and one of which is updated online for off-nominal values of parametric variations. A salient feature of the proposed method is a linear transformation that converts the vector control input of balance systems into scalar control input for application of the proposed method. A fourth-order linearized model of an inverted pendulum system is simulated to show the efficacy of the proposed method.

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Section: Synthesis Of Two-component Controllermentioning

confidence: 99%

Robust optimal stabilization of balance systems with parametric variations

Zaffar¹,

Memon²

2017

Turk J Elec Eng & Comp Sci

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“…We can transfer this kind of LQR problem to block diagonal case through some transformations. See [21] for instance. We have the following result immediately.…”

Section: B Solutions To Orl Problemsmentioning

confidence: 99%

Optimal reset law design of reset control systems with application to HDD systems

Guo

Wang

Xie

et al. 2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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This paper investigates optimal reset law design of reset control systems with fixed reset time instants. Firstly, closed-loop reset control system is changed to discrete linear control system with reset values as control input. Then the optimal reset law design problems are transferred to standard linear quadratic regulation problems and the optimal reset laws are then obtained by solving some Riccati equations. As an application, the proposed optimal reset law design is applied to track-seeking control of a kind of hard disk drive systems. Simulations show that the proposed technique can improve the transient response significantly. Especially, the proposed long-span seeking reset controller is almost time optimal, but the design process is much simpler than optimal time control design.

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“…This architecture was used to allow later experimentation with motivated behavioral change of Braitenberg vehicles. An observer (in the vocabulary of state machine terminology [24]) captures the light intensity measured by each light sensor, fuzzyfies it and transmits it to other Ottos. In the fITst version this was achieved using a specially developed POWERLINKover-WLAN protocol -also the fITst recorded wireless extension of POWERLINK.…”

Section: ) Ottomentioning

confidence: 99%

A Communication Technique for Swarm- Capable Autonomous Agents

Doran¹

2009

Proceedings of the 2nd International Conference on Robotic Communication and Coordination

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Abstract-This paper reports on a communication techniqueand associated technology designed to achieve embodied and situated communication between swarm-capable autonomous agents. The swarm model chosen was that of a fish school. A RFID based wireless communication system, also capable of measuring both direction of and distance to transmitter, was developed and installed on a Braitenberg vehicle. The communication technique allows vehicles to transmit, at regular intervals, their physiological state to the outside world in general and other vehicles in particular. The information transmitted may be used by other vehicles to decide whether or not to form a school and the communication reach fulfils the prerequisites to enable the vehicle to travel in a school formation.

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State Space Theory of Discrete Linear Control

Cited by 35 publications

References 0 publications

Robust optimal stabilization of balance systems with parametric variations

Robust optimal stabilization of balance systems with parametric variations

Optimal reset law design of reset control systems with application to HDD systems

A Communication Technique for Swarm- Capable Autonomous Agents

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